© 2026 Lenny Learning Inc.
Grid and Guide Math • Lesson • Lenny.com
Grid and Guide Math A highly structured Grade 5 lesson focusing on multi-digit multiplication (2x2 up to 3x2) and division (3÷2 up to 4÷2). This complete bundle includes color-coded grids, visual flowcharts, step-by-step scaffolding, and modified workloads to support diverse learners.
S sukanya.ramaswamy
Visual Anchor Charts
Visual anchor charts for Grade 5 standard multiplication and division algorithms. Features color-coded grid alignments, step-by-step flowchart visual cues, and the DMSB (Divide, Multiply, Subtract, Bring Down) checklist with high-contrast text and dark lines for maximum visibility.
Guided Practice Sheets
Guided Practice sheets with scaffolded fill-in steps for multi-digit multiplication and division. Page 1 covers 2x2 multiplication with pre-placed placeholder zeros and dark alignment grids. Page 2 covers 3-digit by 2-digit division with partial steps, reference tables, and a checklist.
Targeted Grid Practice Worksheet
A highly structured independent practice worksheet featuring a fully-solved exemplar at the top of each page. Page 1 guides students through 3-digit by 2-digit multiplication. Page 2 scaffolds 4-digit by 2-digit long division using bold, aligned alignment grids.
Quick Exit Tickets
A 1-page exit ticket with color-coded place value grids for a single 3x2 multiplication problem and a single 3÷2 division problem. Designed to quickly assess Grade 5 student mastery.
Complete Teacher Answer Key
Comprehensive teacher answer keys with completed grid setups for all problems in Guided Practice, Independent Work, and Exit Tickets. Features high-contrast solved numbers with color cues for easy grading.
Mixed Grid Computation Worksheet
A mixed computation worksheet featuring 8 grid-supported problems. Page 1 presents four multi-digit multiplication problems (2x2 and 3x2). Page 2 presents four long division problems (3÷2 and 4÷2) with divisor multiple scratchpads and alignment lines.
Division Grid Practice Worksheet
A dedicated 2-page division worksheet featuring step-by-step worked exemplars at the top of each page. Page 1 focuses on 3-digit by 2-digit division problems, and Page 2 covers 4-digit by 2-digit division problems, all supported by bold place value grids.
Three Digit Division Practice Sheet
A highly focused 2-page targeted practice worksheet dedicated exclusively to 3-digit by 2-digit long division. Features step-by-step place value alignment grids and scratchpad divisor tables.
Grid and Guide Math A highly structured Grade 5 lesson focusing on multi-digit multiplication (2x2 up to 3x2) and division (3÷2 up to 4÷2). This complete bundle includes color-coded grids, visual flowcharts, step-by-step scaffolding, and modified workloads to support diverse learners.
S sukanya.ramaswamy
Visual Anchor Charts Grade 5 Resource Name: ______________________ Date: _________
Grid & Guide Strategy Poster
Keep place values aligned and follow the steps for accurate calculation.
Multiplication
1
Multiply by the Ones Digit
Multiply the top number by the ones digit of the bottom number. Regroup (carry) any tens above.
PLACE VALUE GRID SETUP
<table class="border-collapse text-sm font-mono font-bold text-slate-900"><tbody><tr><td class="w-6 h-6 text-center text-xs text-red-600 border border-slate-300 bg-red-50">①</td><td class="w-6 h-6 text-center text-xs text-slate-400 border border-slate-300"></td><td class="w-6 h-6 text-center text-xs text-slate-400 border border-slate-300">Carry</td></tr><tr><td class="border-2 border-slate-900 w-8 h-8 text-center bg-slate-50"></td><td class="border-2 border-slate-900 w-8 h-8 text-center bg-slate-50">4</td><td class="border-2 border-slate-900 w-8 h-8 text-center bg-slate-50">5</td></tr><tr class="border-b-4 border-slate-900"><td class="border-2 border-slate-900 w-8 h-8 text-center font-bold text-indigo-700">×</td><td class="border-2 border-slate-900 w-8 h-8 text-center bg-slate-50 text-indigo-700">2</td><td class="border-2 border-slate-900 w-8 h-8 text-center bg-slate-50 text-red-600">3</td></tr><tr class="bg-red-50/50"><td class="border-2 border-slate-900 w-8 h-8 text-center text-slate-400"></td><td class="border-2 border-slate-900 w-8 h-8 text-center text-red-600">1</td><td class="border-2 border-slate-900 w-8 h-8 text-center text-red-600">3</td></tr></tbody></table>
Red shows Step 1: 45 × 3 = 135
2
The Placeholder Zero
Put a 0 in the ones column of the second row before multiplying the tens digit!
3
Add the Partial Products
Carefully add both rows downward column by column. Keep digits aligned inside the boxes!
Long Division
The Division Family
Repeat steps for every digit!
D
1. Divide (Dad)
How many times does the divisor fit into the digit?
M
2. Multiply (Mom)
Multiply that answer by the divisor. Write it below.
S
3. Subtract (Sister)
Subtract to find what's left over. Must be smaller than divisor!
B
4. Bring Down (Brother)
Bring down the next digit of the dividend and start over!
<table class="border-collapse text-xs font-mono font-bold text-slate-900"><tbody><tr><td></td><td></td><td class="w-5 h-5 text-center text-slate-400"></td><td class="w-5 h-5 text-center border-2 border-slate-950 bg-emerald-50 text-emerald-800">1</td><td class="w-5 h-5 text-center border-2 border-slate-950 bg-emerald-50 text-emerald-800">2</td></tr><tr><td class="w-5 h-5 text-center border-2 border-slate-950 bg-slate-50">1</td><td class="w-5 h-5 text-center border-2 border-slate-950 bg-slate-50">2</td><td class="text-center font-bold text-base px-1">)</td><td class="w-5 h-5 text-center border-2 border-slate-950 bg-slate-50">1</td><td class="w-5 h-5 text-center border-2 border-slate-950 bg-slate-50">5</td></tr><tr class="border-b-2 border-slate-950"><td></td><td></td><td></td><td class="w-5 h-5 text-center border-2 border-slate-950 bg-slate-100 text-slate-500">-1</td><td class="w-5 h-5 text-center border-2 border-slate-950 bg-slate-100 text-slate-500">2</td></tr><tr><td></td><td></td><td></td><td class="text-center text-[10px] text-slate-400"></td><td class="w-5 h-5 text-center border-2 border-slate-950 bg-amber-50 font-bold">3</td></tr></tbody></table>
15 ÷ 12 = 1 R 3
Lenny's Golden Rule:
"One box, one digit. Never squeeze two digits into a single grid column!"
Guided Practice Sheets GUIDED PRACTICE - SESSION 1 Name: ______________________ Date: _________
Aligning Multi-Digit Multiplication (2x2)
Practice multiplying 2-digit numbers. Use the structured grid to align each column correctly.
Step-By-Step Example: 34 × 12
Step 1: Multiply 34 by the ones digit (2).
Step 2: Write the 0 placeholder in the ones column of the next row.
Step 3: Multiply 34 by the tens digit (1).
Step 4: Add the rows: 68 + 340 = 408
<table class="border-collapse text-xs font-mono font-black"><tbody><tr><td></td><td class="w-5 h-5 text-center text-[10px] text-slate-400 border border-slate-200"></td><td class="w-5 h-5 text-center text-[10px] text-slate-400 border border-slate-200"></td><td class="w-5 h-5 text-center text-[10px] text-slate-400 border border-slate-200"></td></tr><tr><td></td><td class="border border-slate-300 w-5 h-5 text-center bg-slate-50"></td><td class="border-2 border-slate-950 w-5 h-5 text-center bg-indigo-50">3</td><td class="border-2 border-slate-950 w-5 h-5 text-center bg-indigo-50">4</td></tr><tr><td class="w-5 h-5 text-center font-bold text-indigo-700">×</td><td class="border border-slate-300 w-5 h-5 text-center bg-slate-50"></td><td class="border-2 border-slate-950 w-5 h-5 text-center bg-indigo-50">1</td><td class="border-2 border-slate-950 w-5 h-5 text-center bg-indigo-50 text-indigo-800">2</td></tr><tr class="border-b-2 border-slate-950"><td colspan="4"></td></tr><tr><td></td><td class="border border-slate-300 w-5 h-5 text-center bg-slate-50"></td><td class="border-2 border-slate-950 w-5 h-5 text-center bg-white text-indigo-900">6</td><td class="border-2 border-slate-950 w-5 h-5 text-center bg-white text-indigo-900">8</td></tr><tr><td></td><td class="border-2 border-slate-950 w-5 h-5 text-center bg-white text-slate-900">3</td><td class="border-2 border-slate-950 w-5 h-5 text-center bg-white text-slate-900">4</td><td class="border-2 border-slate-950 w-5 h-5 text-center bg-amber-100 text-amber-700 font-extrabold">0</td></tr><tr class="border-b-2 border-slate-950"><td colspan="4"></td></tr><tr class="bg-indigo-50/40"><td></td><td class="border-2 border-slate-950 w-5 h-5 text-center">4</td><td class="border-2 border-slate-950 w-5 h-5 text-center">0</td><td class="border-2 border-slate-950 w-5 h-5 text-center">8</td></tr></tbody></table>
PROBLEM 1: SCAFFOLDED
Solve: 42 × 13
Follow the guided boxes. Some numbers are pre-placed for you!
<table class="border-collapse text-sm font-mono font-black"><tbody><tr class="h-6"><td></td><td class="w-6 border border-slate-300 text-center text-[10px] text-slate-400">Carry</td><td class="w-6 border border-slate-300 text-center text-[10px] text-slate-400">Carry</td><td class="w-6 border border-slate-300 text-center text-[10px] text-slate-400">Carry</td></tr><tr class="h-8"><td></td><td class="border border-slate-300 w-8 text-center bg-slate-50"></td><td class="border-2 border-slate-950 w-8 text-center bg-slate-50">4</td><td class="border-2 border-slate-950 w-8 text-center bg-slate-50">2</td></tr><tr class="h-8"><td class="w-8 text-center font-bold text-indigo-900">×</td><td class="border border-slate-300 w-8 text-center bg-slate-50"></td><td class="border-2 border-slate-950 w-8 text-center bg-indigo-50">1</td><td class="border-2 border-slate-950 w-8 text-center bg-indigo-50 text-indigo-800">3</td></tr><tr class="border-b-2 border-slate-950"><td colspan="4"></td></tr><tr class="h-8"><td></td><td class="border-2 border-slate-950 w-8 text-center bg-slate-50 text-slate-400"></td><td class="border-2 border-slate-950 w-8 text-center bg-slate-50 text-indigo-800 font-bold">1</td><td class="border-2 border-slate-950 w-8 text-center bg-white"></td></tr><tr class="h-8"><td></td><td class="border-2 border-slate-950 w-8 text-center bg-slate-50 text-slate-400"></td><td class="border-2 border-slate-950 w-8 text-center bg-white"></td><td class="border-2 border-slate-950 w-8 text-center bg-amber-100 text-amber-700 font-extrabold">0</td></tr><tr class="border-b-2 border-slate-950"><td colspan="4"></td></tr><tr class="h-8 bg-slate-50"><td></td><td class="border-2 border-slate-950 w-8 text-center bg-white"></td><td class="border-2 border-slate-950 w-8 text-center bg-white"></td><td class="border-2 border-slate-950 w-8 text-center bg-white"></td></tr></tbody></table>
Targeted Grid Practice Worksheet INDEPENDENT WORKPLACE Name: ______________________ Date: _________
Targeted Practice: 3-Digit by 2-Digit Multiplication
Review the worked exemplar, then solve the blank grid organizers below. Keep place values in line!
Fully Worked Exemplar: 145 × 13 = 1,885
STUDY THIS MODEL
• Step 1 (Multiply by Ones): 145 × 3 ones = 435 . Carried tens are written neatly on top.
• Step 2 (Placeholder): Write the placeholder 0 in the ones column of row 2.
• Step 3 (Multiply by Tens): 145 × 1 ten = 1450 (written aligned as 145 with the 0).
• Step 4 (Add Products): Add 435 + 1450 vertically = 1,885 .
<table class="border-collapse text-xs font-mono font-black text-slate-950"><tbody><tr class="h-5"><td></td><td class="w-5 border border-slate-300 text-center text-[9px] text-slate-400 font-bold bg-slate-100">①</td><td class="w-5 border border-slate-300 text-center text-[9px] text-slate-400 font-bold bg-slate-100">①</td><td class="w-5 border border-slate-300 text-center text-[9px] text-slate-400 font-bold bg-slate-100"></td><td class="w-5 border border-slate-300 text-center text-[9px] text-slate-400 font-bold bg-slate-100"></td></tr><tr class="h-6"><td></td><td class="border-2 border-slate-950 w-5 text-center"></td><td class="border-2 border-slate-950 w-5 text-center bg-indigo-50">1</td><td class="border-2 border-slate-950 w-5 text-center bg-indigo-50">4</td><td class="border-2 border-slate-950 w-5 text-center bg-indigo-50">5</td></tr><tr class="h-6"><td class="w-5 text-center font-bold text-indigo-900">×</td><td class="border-2 border-slate-950 w-5 text-center"></td><td class="border-2 border-slate-950 w-5 text-center bg-indigo-50"></td><td class="border-2 border-slate-950 w-5 text-center bg-indigo-50">1</td><td class="border-2 border-slate-950 w-5 text-center bg-indigo-50">3</td></tr><tr class="border-b-2 border-slate-950"><td colspan="5"></td></tr><tr class="h-6 bg-indigo-50/20"><td></td><td class="border-2 border-slate-950 w-5 text-center"></td><td class="border-2 border-slate-950 w-5 text-center font-bold text-indigo-900">4</td><td class="border-2 border-slate-950 w-5 text-center font-bold text-indigo-900">3</td><td class="border-2 border-slate-950 w-5 text-center font-bold text-indigo-900">5</td></tr><tr class="h-6 bg-indigo-50/20"><td></td><td class="border-2 border-slate-950 w-5 text-center font-bold">1</td><td class="border-2 border-slate-950 w-5 text-center font-bold">4</td><td class="border-2 border-slate-950 w-5 text-center font-bold">5</td><td class="border-2 border-slate-950 w-5 text-center bg-amber-100 text-amber-700 font-extrabold">0</td></tr><tr class="border-b-2 border-slate-950"><td colspan="5"></td></tr><tr class="h-6 bg-slate-100"><td></td><td class="border-2 border-slate-950 w-5 text-center">1</td><td class="border-2 border-slate-950 w-5 text-center">8</td><td class="border-2 border-slate-950 w-5 text-center">8</td><td class="border-2 border-slate-950 w-5 text-center">5</td></tr></tbody></table>
Quick Exit Tickets EXIT TICKET: MULTIPLICATION (3x2)
Name: ______________________ Date: _________
Solve the problem in the grid below. Ensure carries are written clearly and columns are aligned.
Solve: 132 × 24
Remember:
<table class="border-collapse text-xs font-mono font-black"><tbody><tr class="h-4"><td></td><td class="w-5 border border-slate-300 text-center text-[8px] text-slate-400">Carry</td><td class="w-5 border border-slate-300 text-center text-[8px] text-slate-400">Carry</td><td class="w-5 border border-slate-300 text-center text-[8px] text-slate-400">Carry</td><td class="w-5 border border-slate-300 text-center text-[8px] text-slate-400"></td></tr><tr class="h-6"><td></td><td class="border-2 border-slate-950 w-5 text-center bg-slate-50"></td><td class="border-2 border-slate-950 w-5 text-center bg-slate-50">1</td><td class="border-2 border-slate-950 w-5 text-center bg-slate-50">3</td><td class="border-2 border-slate-950 w-5 text-center bg-slate-50">2</td></tr><tr class="h-6"><td class="w-5 text-center font-bold text-indigo-900">×</td><td class="border-2 border-slate-950 w-5 text-center bg-slate-50"></td><td class="border-2 border-slate-950 w-5 text-center bg-slate-50"></td><td class="border-2 border-slate-950 w-5 text-center bg-slate-50">2</td><td class="border-2 border-slate-950 w-5 text-center bg-slate-50 text-indigo-800">4</td></tr><tr class="border-b-2 border-slate-950"><td colspan="5"></td></tr><tr class="h-6"><td></td><td class="border-2 border-slate-950 w-5 text-center bg-white"></td><td class="border-2 border-slate-950 w-5 text-center bg-white"></td><td class="border-2 border-slate-950 w-5 text-center bg-white"></td><td class="border-2 border-slate-950 w-5 text-center bg-white"></td></tr><tr class="h-6"><td></td><td class="border-2 border-slate-950 w-5 text-center bg-white"></td><td class="border-2 border-slate-950 w-5 text-center bg-white"></td><td class="border-2 border-slate-950 w-5 text-center bg-white"></td><td class="border-2 border-slate-950 w-5 text-center bg-white"></td></tr><tr class="border-b-2 border-slate-950"><td colspan="5"></td></tr><tr class="h-6 bg-slate-50"><td></td><td class="border-2 border-slate-950 w-5 text-center bg-white"></td><td class="border-2 border-slate-950 w-5 text-center bg-white"></td><td class="border-2 border-slate-950 w-5 text-center bg-white"></td><td class="border-2 border-slate-950 w-5 text-center bg-white"></td></tr></tbody></table>
✂ - - - - - - - - - - - - - - - - - CUT HERE FOR SEPARATE SLIPS - - - - - - - - - - - - - - - - - ✂
EXIT TICKET: DIVISION (3÷2)
Name: ______________________ Date: _________
Solve the division problem in the grid. Write your remainder neatly.
Solve: 168 ÷ 14
Complete Teacher Answer Key TEACHER ANSWER KEY GRADING REFERENCE SHEET - VOL 1
Multiplication Answer Keys (Grids Completed)
Displays completed place value alignment grids for the Guided Sheets, Independent Sheets, and Mixed Worksheets.
Guided Practice & Exit Ticket Answers
GUIDED P1
42 × 13 = 546
GUIDED P2
53 × 24 = 1,272
EXIT TICKET
132 × 24 = 3,168
Independent Practice: 3x2 Multiplication Answers
IND. PROBLEM 1
215 × 14 = 3,010
860 + 2150
IND. PROBLEM 2
342 × 23 = 7,866
1026 + 6840
Mixed Computation Worksheet: Multiplication Answers (Page 1)
MIXED P1
24 × 15 = 360
MIXED P2
73 × 12 = 876
MIXED P3
154 × 13 = 2,002
MIXED P4
206 × 32 = 6,592
Unit: Grade 5 Grid and Guide Math Answer Key Page 1
TEACHER ANSWER KEY GRADING REFERENCE SHEET - VOL 2
Division Answer Keys (Grids Completed)
Displays completed division keys for the Guided Sheets, Independent Sheets, Mixed, and Pure Division Worksheets.
Dedicated 3÷2 Division Practice Sheet Answers
P1: PROBLEM 1
144 ÷ 12 = 12
P1: PROBLEM 2
198 ÷ 11 = 18
P1: PROBLEM 3
276 ÷ 12 = 23
P2: PROBLEM 4
299 ÷ 13 = 23
P2: PROBLEM 5
345 ÷ 15 = 23
P2: PROBLEM 6
416 ÷ 16 = 26
Other Division Practice & Exit Ticket Solutions
EXIT TICKET P2
168 ÷ 14 = 12
GUIDED PRACTICE P3/P4
156÷12 = 13 | 275÷11 = 25
PURE DIVISION DRILLS P1-P3
156÷12=13 | 288÷12=24 | 312÷13=24
PURE DIVISION DRILLS P4-P5 (4÷2)
1320÷11=120 | 1690÷13=130
Mixed Computation Division Solutions
144÷12 = 12
286÷11 = 26
1248÷12= 104
1545÷15= 103
Unit: Grade 5 Grid and Guide Math Answer Key Page 2
Mixed Grid Computation Worksheet MIXED COMPUTATION PRACTICE Name: ______________________ Date: _________
Multiplication Mastery Grid
Solve these 2-digit and 3-digit multiplication problems. Keep your work organized inside the grid boxes.
Problem 1 24 × 15
<table class="border-collapse text-xs font-mono font-black"><tbody><tr class="h-4"><td colspan="4" class="text-[8px] text-slate-400 text-center">Carry Rows</td></tr><tr class="h-5"><td></td><td class="w-5 border border-slate-200"></td><td class="w-5 border border-slate-200"></td><td class="w-5 border border-slate-200"></td></tr><tr class="h-6"><td></td><td class="border-2 border-slate-950 w-6 text-center"></td><td class="border-2 border-slate-950 w-6 text-center">2</td><td class="border-2 border-slate-950 w-6 text-center">4</td></tr><tr class="h-6"><td class="w-6 text-center font-bold">×</td><td class="border-2 border-slate-950 w-6 text-center"></td><td class="border-2 border-slate-950 w-6 text-center">1</td><td class="border-2 border-slate-950 w-6 text-center">5</td></tr><tr class="border-b-2 border-slate-950"><td colspan="4"></td></tr><tr class="h-6"><td></td><td class="border-2 border-slate-950 w-6"></td><td class="border-2 border-slate-950 w-6"></td><td class="border-2 border-slate-950 w-6"></td></tr><tr class="h-6"><td></td><td class="border-2 border-slate-950 w-6"></td><td class="border-2 border-slate-950 w-6"></td><td class="border-2 border-slate-950 w-6"></td></tr><tr class="border-b-2 border-slate-950"><td colspan="4"></td></tr><tr class="h-6 bg-slate-50"><td></td><td class="border-2 border-slate-950 w-6"></td><td class="border-2 border-slate-950 w-6"></td><td class="border-2 border-slate-950 w-6"></td></tr></tbody></table>
Problem 2 73 × 12
<table class="border-collapse text-xs font-mono font-black"><tbody><tr class="h-4"><td colspan="4" class="text-[8px] text-slate-400 text-center">Carry Rows</td></tr><tr class="h-5"><td></td><td class="w-5 border border-slate-200"></td><td class="w-5 border border-slate-200"></td><td class="w-5 border border-slate-200"></td></tr><tr class="h-6"><td></td><td class="border-2 border-slate-950 w-6 text-center"></td><td class="border-2 border-slate-950 w-6 text-center">7</td><td class="border-2 border-slate-950 w-6 text-center">3</td></tr><tr class="h-6"><td class="w-6 text-center font-bold">×</td><td class="border-2 border-slate-950 w-6 text-center"></td><td class="border-2 border-slate-950 w-6 text-center">1</td><td class="border-2 border-slate-950 w-6 text-center">2</td></tr><tr class="border-b-2 border-slate-950"><td colspan="4"></td></tr><tr class="h-6"><td></td><td class="border-2 border-slate-950 w-6"></td><td class="border-2 border-slate-950 w-6"></td><td class="border-2 border-slate-950 w-6"></td></tr><tr class="h-6"><td></td><td class="border-2 border-slate-950 w-6"></td><td class="border-2 border-slate-950 w-6"></td><td class="border-2 border-slate-950 w-6"></td></tr><tr class="border-b-2 border-slate-950"><td colspan="4"></td></tr><tr class="h-6 bg-slate-50"><td></td><td class="border-2 border-slate-950 w-6"></td><td class="border-2 border-slate-950 w-6"></td><td class="border-2 border-slate-950 w-6"></td></tr></tbody></table>
Division Grid Practice Worksheet TARGETED DIVISION DRILLS Name: ______________________ Date: _________
Division Grid Practice: 3-Digit Dividends
Review the solved model at the top, then solve the three-digit long division problems using the grids.
3÷2 Worked Exemplar: 195 ÷ 15 = 13
STUDY THE STEPS
1. Divide: 15 fits into 19 1 time. Place the 1 directly above the 9.
2. Multiply & Subtract: 1 × 15 = 15. Subtract: 19 - 15 = 4.
3. Bring Down: Bring down the 5 to make 45.
4. Repeat: 15 fits into 45 3 times. 3 × 15 = 45. 45 - 45 = 0.
<table class="border-collapse text-xs font-mono font-black text-slate-950"><tbody><tr class="h-6"><td></td><td></td><td></td><td class="w-6 text-center border-2 border-slate-950 bg-slate-100 text-slate-400">0</td><td class="w-6 text-center border-2 border-slate-950 bg-emerald-100 text-emerald-950">1</td><td class="w-6 text-center border-2 border-slate-950 bg-emerald-100 text-emerald-950">3</td></tr><tr class="h-6"><td class="w-6 border-2 border-slate-950 bg-slate-50 text-center">1</td><td class="w-6 border-2 border-slate-950 bg-slate-50 text-center">5</td><td class="text-center font-bold px-0.5 text-slate-950">)</td><td class="w-6 border-2 border-slate-950 bg-slate-50 text-center">1</td><td class="w-6 border-2 border-slate-950 bg-slate-50 text-center">9</td><td class="w-6 border-2 border-slate-950 bg-slate-50 text-center">5</td></tr><tr class="h-6"><td></td><td></td><td></td><td class="w-6 border-2 border-slate-950 bg-slate-100 text-slate-500">-1</td><td class="w-6 border-2 border-slate-950 bg-slate-100 text-slate-500">5</td><td></td></tr><tr class="border-b border-slate-950"><td colspan="6"></td></tr><tr class="h-6"><td></td><td></td><td></td><td class="w-6 border-2 border-slate-950 bg-slate-100 text-slate-400">0</td><td class="w-6 border-2 border-slate-950 bg-white text-center">4</td><td class="w-6 border-2 border-slate-950 bg-amber-50 text-amber-700 font-bold text-center">5</td></tr><tr class="h-6"><td></td><td></td><td></td><td></td><td class="w-6 border-2 border-slate-950 bg-slate-100 text-slate-500">-4</td><td class="w-6 border-2 border-slate-950 bg-slate-100 text-slate-500 text-center">5</td></tr><tr class="border-b border-slate-950"><td colspan="6"></td></tr><tr class="h-6"><td></td><td></td><td></td><td></td><td></td><td class="w-6 border-2 border-slate-950 bg-slate-200 text-emerald-800 text-center">0</td></tr></tbody></table>
Problem 1
Solve: 156 ÷ 12
<table class="border-collapse text-xs font-mono font-black"><tbody><tr class="h-7"><td></td><td></td><td></td><td class="w-7 border-2 border-slate-950 bg-white"></td><td class="w-7 border-2 border-slate-950 bg-white"></td><td class="w-7 border-2 border-slate-950 bg-white"></td></tr><tr class="h-7"><td class="w-7 border-2 border-slate-950 bg-slate-50 text-center text-xs">1</td><td class="w-7 border-2 border-slate-950 bg-slate-50 text-center text-xs">2</td><td class="font-bold px-0.5 text-slate-950">)</td><td class="w-7 border-2 border-slate-950 bg-slate-50 text-center text-xs">1</td><td class="w-7 border-2 border-slate-950 bg-slate-50 text-center text-xs">5</td><td class="w-7 border-2 border-slate-950 bg-slate-50 text-center text-xs">6</td></tr><tr class="h-7"><td></td><td></td><td></td><td class="w-7 border-2 border-slate-950 bg-white"></td><td class="w-7 border-2 border-slate-950 bg-white"></td><td></td></tr><tr class="border-b-2 border-slate-950"><td colspan="6"></td></tr><tr class="h-7"><td></td><td></td><td></td><td class="w-7 border-2 border-slate-950 bg-slate-100 text-slate-400"></td><td class="w-7 border-2 border-slate-950 bg-white"></td><td class="w-7 border-2 border-slate-950 bg-amber-50 text-amber-700 font-bold"></td></tr><tr class="h-7"><td></td><td></td><td></td><td></td><td class="w-7 border-2 border-slate-950 bg-white"></td><td class="w-7 border-2 border-slate-950 bg-white"></td></tr><tr class="border-b-2 border-slate-950"><td colspan="6"></td></tr><tr class="h-7 bg-slate-50"><td></td><td></td><td></td><td></td><td></td><td class="w-7 border-2 border-slate-950 bg-white"></td></tr></tbody></table>
Three Digit Division Practice Sheet TARGETED PRACTICE: 3÷2 DIVISION Name: ______________________ Date: _________
Aligning 3-Digit by 2-Digit Division
Review the fully solved exemplar below, then solve the three division problems inside the aligned grids.
3÷2 Worked Exemplar: 182 ÷ 14 = 13
STUDY THE STEPS
1. Divide into Tens: 14 fits into 18 1 time. Place the 1 directly above the 8.
2. Multiply & Subtract: 1 × 14 = 14. Subtract: 18 - 14 = 4.
3. Bring Down: Bring down the 2 to make 42.
4. Repeat: 14 fits into 42 3 times. 3 × 14 = 42. 42 - 42 = 0. Remainder is 0.
<table class="border-collapse text-xs font-mono font-black text-slate-950"><tbody><tr><td></td><td></td><td></td><td class="w-5 h-5 text-center border-2 border-slate-950 bg-slate-100 text-slate-400">0</td><td class="w-5 h-5 text-center border-2 border-slate-950 bg-emerald-105 text-emerald-950">1</td><td class="w-5 h-5 text-center border-2 border-slate-950 bg-emerald-105 text-emerald-950">3</td></tr><tr><td class="w-5 h-5 text-center border-2 border-slate-950 bg-slate-50">1</td><td class="w-5 h-5 text-center border-2 border-slate-950 bg-slate-50">4</td><td class="text-center font-bold px-0.5 text-slate-950">)</td><td class="w-5 h-5 text-center border-2 border-slate-950 bg-slate-50">1</td><td class="w-5 h-5 text-center border-2 border-slate-950 bg-slate-50">8</td><td class="w-5 h-5 text-center border-2 border-slate-950 bg-slate-50">2</td></tr><tr><td></td><td></td><td></td><td class="w-5 h-5 text-center border-2 border-slate-950 bg-slate-100 text-slate-500">-1</td><td class="w-5 h-5 text-center border-2 border-slate-950 bg-slate-100 text-slate-500">4</td><td></td></tr><tr class="border-b border-slate-950"><td colspan="6"></td></tr><tr><td></td><td></td><td></td><td class="w-5 h-5 text-center border-2 border-slate-950 bg-slate-100 text-slate-400">0</td><td class="w-5 h-5 text-center border-2 border-slate-950 bg-white">4</td><td class="w-5 h-5 text-center border-2 border-slate-950 bg-amber-50 text-amber-700 font-bold">2</td></tr><tr><td></td><td></td><td></td><td></td><td class="w-5 h-5 text-center border-2 border-slate-950 bg-slate-100 text-slate-500">-4</td><td class="w-5 h-5 text-center border-2 border-slate-950 bg-slate-100 text-slate-500">2</td></tr><tr class="border-b border-slate-950"><td colspan="6"></td></tr><tr><td></td><td></td><td></td><td></td><td></td><td class="w-5 h-5 text-center border-2 border-slate-950 bg-slate-200 text-emerald-800">0</td></tr></tbody></table>
Problem 1
144 ÷ 12
<table class="border-collapse text-[10px] font-mono font-black"><tbody><tr><td></td><td></td><td></td><td class="w-5 border-2 border-slate-950 bg-white"></td><td class="w-5 border-2 border-slate-950 bg-white"></td><td class="w-5 border-2 border-slate-950 bg-white"></td></tr><tr><td class="w-5 border-2 border-slate-950 bg-slate-50 text-center">1</td><td class="w-5 border-2 border-slate-950 bg-slate-50 text-center">2</td><td class="font-bold px-0.5">)</td><td class="w-5 border-2 border-slate-950 bg-slate-50 text-center">1</td><td class="w-5 border-2 border-slate-950 bg-slate-50 text-center">4</td><td class="w-5 border-2 border-slate-950 bg-slate-50 text-center">4</td></tr><tr><td></td><td></td><td></td><td class="w-5 border-2 border-slate-950 bg-white"></td><td class="w-5 border-2 border-slate-950 bg-white"></td><td></td></tr><tr class="border-b-2 border-slate-950"><td colspan="6"></td></tr><tr><td></td><td></td><td></td><td class="w-5 border-2 border-slate-950 bg-white"></td><td class="w-5 border-2 border-slate-950 bg-white"></td><td class="w-5 border-2 border-slate-950 bg-white"></td></tr><tr><td></td><td></td><td></td><td></td><td class="w-5 border-2 border-slate-950 bg-white"></td><td class="w-5 border-2 border-slate-950 bg-white"></td></tr><tr class="border-b-2 border-slate-950"><td colspan="6"></td></tr><tr class="bg-slate-50"><td></td><td></td><td></td><td></td><td></td><td class="w-5 border-2 border-slate-950 bg-white"></td></tr></tbody></table>
Hint: 42 × 3 = 126. We pre-filled "1" in the hundreds place for Row 1. Now find the ones!
PROBLEM 2: SEMI-SCAFFOLDED
Solve: 53 × 24 Write the multiplication digits yourself. The placeholder zero is still there to remind you!
Quick Check: 53 × 4 is 212 (row 1). 53 × 2 is 106, which becomes 1060 when written with the zero.
Student Self-Check Checklist:
Aligned my columns Added placeholder 0 Added correctly
GUIDED PRACTICE - SESSION 2 Name: ______________________ Date: _________
Guided Long Division Steps (3÷2) Solve three-digit dividends with double-digit divisors. Use the DMSB flowchart and helper charts.
DMSB Division Cycle: Divide ➔ Multiply ➔ Subtract ➔ Bring Down. Repeat until no digits remain!
Multiplication Key Write multiples here to speed up division!
Solve: 156 ÷ 12 Divisor: 12 | Dividend: 156
① 12 goes into 15 1 time . Write 1 on top, above the 5.
② Multiply 1 × 12 = 12. Write 12 below. Subtract: 15 - 12 = 3.
③ Bring down 6 to make 36. How many 12s in 36?
PROBLEM 4: SEMI-SCAFFOLDED
Solve: 275 ÷ 11 Divisor: 11 | Dividend: 275
• How many 11s go into 27?11 × 2 = 22 , so place 2 above the 7.
• Subtract 22 from 27 to find the remainder.
• Bring down the 5 to create the next number to divide!
Checked remainder size Multiplied to verify Aligned quotient top
Solve: 215 × 14 Align all digits. Remember your carried digits!
Solve: 342 × 23 Double check that you put your placeholder zero in row 2!
Unit: Grade 5 Multi-Digit Multiplication Page 1
INDEPENDENT WORKPLACE Name: ______________________ Date: _________
Targeted Practice: 4-Digit by 2-Digit Long Division Study the solved exemplar showing correct quotient place value alignment, then solve.
Fully Worked Exemplar: 1,356 ÷ 12 = 113 • Step 1: 12 fits into 13 1 time . 1 is placed on top of the 3. 13 - 12 = 1.
• Step 2: Bring down the 5 to get 15. 12 fits into 15 1 time . Place 1 on top. 15 - 12 = 3.
• Step 3: Bring down the 6 to get 36. 12 fits into 36 3 times . Place 3 on top. 36 - 36 = 0. No remainder.
Solve: 1,488 ÷ 12
Solve: 1,515 ÷ 15 Unit: Grade 5 Long Division (4÷2) Page 2
Remember:
Grade 5 Grid & Guide Long Division Slip
Grade 5 Double-Digit Multiplication Mastery Page 1
MIXED COMPUTATION PRACTICE Name: ______________________ Date: _________
Division Mastery Grid Solve these 3-digit and 4-digit division problems. Use the DMSB checklist to guide your steps.
Grade 5 Double-Digit Long Division Mastery Page 2
Solve: 288 ÷ 12
Solve: 312 ÷ 13 Unit: Grade 5 Division Strategy Sheet Page 1
TARGETED DIVISION DRILLS Name: ______________________ Date: _________
Division Grid Practice: 4-Digit Dividends Review the solved model at the top, then solve the four-digit long division problems below.
4÷2 Worked Exemplar: 1,560 ÷ 12 = 130 1. First Digit: 12 does not fit in 1. Place a 0 above the 1.
2. Second Digit: 12 fits in 15 1 time. 15 - 12 = 3. Bring down the 6 to make 36.
3. Third Digit: 12 fits in 36 3 times. 36 - 36 = 0. Bring down the 0.
4. Last Digit: 12 fits in 0 0 times. Put a 0 above the 0. Remainder is 0.
Solve: 1,320 ÷ 11
Solve: 1,690 ÷ 13 Unit: Grade 5 Division Strategy Sheet Page 2
198 ÷ 11
276 ÷ 12 Unit: Grade 5 Long Division Mastery Page 1
TARGETED PRACTICE: 3÷2 DIVISION Name: ______________________ Date: _________
Multiples Mastery & Division Drills Use the side multiplication boxes to list the divisor's multiples. This makes division much faster!
299 ÷ 13
345 ÷ 15
416 ÷ 16 Unit: Grade 5 Long Division Mastery Page 2
