Quotient Quest Worksheet
Grade 5 Math Standard Algorithm
QUOTIENT QUEST: LONG DIVISION
Divide multi-digit whole numbers step-by-step using the standard algorithm.
Name:
Date:
Score: / 100
The 5 Division Steps Mnemonic: Does McDonald's Serve Cheese Burgers?
1. Divide
2. Multiply
3. Subtract
4. Check
5. Bring Down
1 Part 1: Guided Practice — 3-Digit Dividends
Keep place values aligned in the grid boxes
Problem 1: \(492 \div 12\)
12
4 9 2
Step 1: 12 into 49?
Step 2: Multiply & subtract
Step 3: Bring down 2
Quotient:
Q = R =
Problem 2: \(763 \div 15\)
15
7 6 3
Step 1: 15 into 76?
Step 2: Multiply & subtract
Step 3: 15 into 13? (Watch 0!)
Quotient:
Q = R =
2 Part 2: Independent Practice — 4-Digit Dividends
Show all multiplication and subtraction steps
Problem 3: \(1{,}584 \div 16\)
16
1 5 8 4
Quotient:
Q = R =
Problem 4: \(3{,}480 \div 24\)
24
3 4 8 0
Quotient:
Q = R =
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QUOTIENT QUEST: PART 3 & 4
Remainders, Verification, and Real-World Division Applications
Name: Date:
3 Part 3: Division with Remainders & Checking
Check Formula: (Quotient × Divisor) + Remainder = Dividend
Problem 5: \(4{,}390 \div 32\)
32
4 3 9 0
Check Work:
Q × 32 + R = ?
Quotient:
Q = R =
Problem 6: \(5{,}824 \div 48\)
48
5 8 2 4
Check Work:
Q × 48 + R = ?
Quotient:
Q = R =
4 Part 4: Real-World Long Division Word Problems
Interpret what the quotient and remainder mean
Problem 7: Oakridge Elementary collected 1,748 canned food items for the local food pantry. Student volunteers pack exactly 24 cans into each distribution crate.
Division Work Area:
How many full crates can they pack?
full crates
How many cans will be left over?
cans left over
Remainder represents the leftover cans.
Problem 8: The middle school robotics club needs $3,450 to purchase drone components for their upcoming tournament. If 15 local sponsors agree to share the total cost equally, how much money must each sponsor contribute?
Division Work Area:
Cost per sponsor:
$
Complete sentence:
Check if there is any remainder.
Quotient Quest • Grade 5 Mathematics Page 2 of 2 • Mastery Checklist Complete
Quotient Quest Answer Key
Teacher Edition Answer Key & Solutions
QUOTIENT QUEST: ANSWER KEY
Complete algorithmic solutions, place-value alignment towers, and common pitfalls.
Standard: CCSS 5.NBT.B.6
Target: Multi-digit quotients
Status: Complete Solutions
Key Teacher Teaching Notes & Common Pitfalls Point Value: 12.5 pts each (Total 100)
Zero in Quotient: Watch Problem 2: Students often forget to write 0 in the ones place when 15 does not divide into 13.
Place Value Alignment: Digits in quotient must align directly over the last digit of the partial dividend being divided.
Checking Work: Emphasize: Remainder must ALWAYS be strictly less than the divisor before bringing down next digit.
1 Part 1: Guided Practice Solutions
Problems 1 & 2
Problem 1: \(492 \div 12\) Answer: 41
4 1
12
4 9 2
- 4 8 ↓
1 2
- 1 2
0 (R)
Step 1: \(12 \times 4 = 48\). Place 4 in tens place.
Step 2: \(49 - 48 = 1\). Bring down 2 → 12.
Step 3: \(12 \times 1 = 12\). Subtract: 0 remainder.
Final Result:
Q = 41 R = 0
Problem 2: \(763 \div 15\) Answer: 50 R 13
5 0
15
7 6 3
- 7 5 ↓
1 3
- 0 0
1 3 (R)
Step 1: \(15 \times 5 = 75\). Write 5 in tens place.
Step 2: \(76 - 75 = 1\). Bring down 3 → 13.
Critical Zero: 15 divides into 13 zero times! Write 0 in ones. Remainder = 13.
Final Result:
Q = 50 R = 13
2 Part 2: 4-Digit Dividends Solutions
Problems 3 & 4
Problem 3: \(1{,}584 \div 16\) Answer: 99
9 9
16
1 5 8 4
- 1 4 4 ↓
1 4 4
- 1 4 4
0 (R)
Final Result:
Q = 99 R = 0
Problem 4: \(3{,}480 \div 24\) Answer: 145
1 4 5
24
3 4 8 0
- 2 4 ↓
1 0 8
- 9 6 ↓
1 2 0
- 1 2 0
0 (R)
Final Result:
Q = 145 R = 0
Quotient Quest • Teacher Answer Key Page 1 of 2 — Continue to Part 3 & 4 →
