Long Division Launch Worksheet
Long Division Launch
Grade 4 Math • 3-Digit by 1-Digit Standard Algorithm
Name:
Date:
Algorithm Steps Remember: Divide, Multiply, Subtract, Bring down!
D ivide
→
M ultiply
→
S ubtract
→
B ring down
Worked Model: \( 432 \div 3 = 144 \) No Remainder
1 4 4
3 4 3 2
- 3 ↓
1 3
- 1 2 ↓
1 2
- 1 2
0
Step 1 Hundreds: 4 ÷ 3 = 1. Multiply: \( 1 \times 3 = 3 \). Subtract: \( 4 - 3 = 1 \). Bring down the 3.
Step 2 Tens: 13 ÷ 3 = 4. Multiply: \( 4 \times 3 = 12 \). Subtract: \( 13 - 12 = 1 \). Bring down 2.
Step 3 Ones: 12 ÷ 3 = 4. Multiply: \( 4 \times 3 = 12 \). Subtract: \( 12 - 12 = 0 \).
Part 1: Independent Practice (Exact Quotients)
Show all subtraction and bring-down steps.
1 384 ÷ 2
2
3 8 4
Quotient:
2 515 ÷ 5
5
5 1 5
Quotient:
3 726 ÷ 6
6
7 2 6
Quotient:
4 648 ÷ 4
4
6 4 8
Quotient:
Long Division Launch • 4th Grade Math Page 1 of 2
Division with Remainders
Grade 4 Math • Handling Leftovers & Word Problems
Name:
Date:
Golden Rule The Remainder (R) must ALWAYS be less than the divisor!
Remainder < Divisor
Part 2: Computation with Remainders
Write answers in the form: Quotient R Remainder (e.g., 125 R 2)
5 475 ÷ 3
3
4 7 5
Answer:
6 639 ÷ 5
5
6 3 9
Answer:
7 583 ÷ 4
4
5 8 3
Answer:
8 926 ÷ 6
6
9 2 6
Answer:
Part 3: Real-World Applications
Interpret what each number represents!
9 Library Books
The school library received 526 books. The librarian distributes them equally onto 4 display shelves.
Workspace:
Books on each shelf:
Books left over:
10 Apple Harvest
An orchard picked 735 crisp apples. Workers pack them into gift boxes of 6 apples each.
Workspace:
Full gift boxes made:
Apples left over:
Long Division Launch • 4th Grade Math Page 2 of 2
Long Division Answer Key
Teacher Answer Key
Solutions
Long Division Launch • Part 1: Exact Quotients (No Remainders)
GRADE 4 • MATH
Key Instructional Focus: Emphasize place value alignment. Watch Problem #2 closely for the intermediate zero in the tens place!
1 384 ÷ 2 Quotient = 192
1 9 2
2 3 8 4
- 2 ↓
1 8
- 1 8 ↓
0 4
- 4
0
Hundreds: 3 ÷ 2 = 1 R 1
Tens: 18 ÷ 2 = 9 R 0
Ones: 4 ÷ 2 = 2 R 0
Check: \( 192 \times 2 = 384 \)
2 Zero in Quotient!
Quotient = 103
1 0 3
5 5 1 5
- 5 ↓
0 1
- 0 ↓
1 5
- 1 5
0
Hundreds: 5 ÷ 5 = 1 R 0
Tens: 1 ÷ 5 = 0 R 1
Ones: 15 ÷ 5 = 3 R 0
Common error: writing 13 instead of 103.
3 726 ÷ 6 Quotient = 121
1 2 1
6 7 2 6
- 6 ↓
1 2
- 1 2 ↓
0 6
- 6
0
Hundreds: 7 ÷ 6 = 1 R 1
Tens: 12 ÷ 6 = 2 R 0
Ones: 6 ÷ 6 = 1 R 0
Check: \( 121 \times 6 = 726 \)
4 648 ÷ 4 Quotient = 162
1 6 2
4 6 4 8
- 4 ↓
2 4
- 2 4 ↓
0 8
- 8
0
Hundreds: 6 ÷ 4 = 1 R 2
Tens: 24 ÷ 4 = 6 R 0
Ones: 8 ÷ 4 = 2 R 0
Check: \( 162 \times 4 = 648 \)
Formative Assessment Tip: If students struggle with #2, have them use play money (base-ten blocks: 5 flats, 1 rod, 5 units) to physically see why 1 ten divided into 5 groups gives 0 tens per group, regrouping into 10 ones.
Long Division Launch • Teacher Answer Key Page 1 of 2
Teacher Answer Key
Remainders
Long Division Launch • Part 2: Computation & Word Problems
GRADE 4 • MATH
Remainder Verification: Always ensure \( \text{Remainder} < \text{Divisor} \). Check using formula: \( (\text{Quotient} \times \text{Divisor}) + \text{Remainder} = \text{Dividend} \).
