Long Division — Answer Key
Part A: Multiple Choice
Circle the best answer for each question.
1. What is 1,575 ÷ 6?
A) 261 R9
B) 262 R3
C) 263 R1
D) 260 R15
6 × 262 = 1,572. 1,575 − 1,572 = 3. Answer: 262 R3.
2. A school trip has 47 students. Each van holds 8 students. How many vans are needed?
A) 5
B) 6
C) 7
D) 8
47 ÷ 8 = 5 R7. Since 7 students still need a van, a 6th van is required. Always round up for 'how many vans needed' questions.
3. What is the remainder when 2,438 is divided by 7?
A) 0
B) 1
C) 2
D) 3
7 × 348 = 2,436. 2,438 − 2,436 = 2. Remainder = 2.
4. Which is the best estimate for 3,195 ÷ 8?
A) 300
B) 350
C) 400
D) 450
Use compatible numbers: 3,200 ÷ 8 = 400. This is the closest reasonable estimate.
Part B: Fill in the Blank
Write the correct answer on each line.
1. 1,843 ÷ 9 = 204 R 7
9 × 204 = 1,836. 1,843 − 1,836 = 7. Remainder = 7.
2. A baker has 1,250 cookies to pack in bags of 8. He fills 156 full bags.
1,250 ÷ 8 = 156 R2. He fills 156 full bags with 2 cookies left over.
3. 2,509 ÷ 6 = 418 R1
6 × 418 = 2,508. 2,509 − 2,508 = 1. Quotient = 418.
4. To estimate 4,789 ÷ 5, use 5,000 ÷ 5 = 1000
5,000 is a compatible number close to 4,789. 5,000 ÷ 5 = 1,000.
5. When 3,407 is divided by 4, the remainder is 3
4 × 851 = 3,404. 3,407 − 3,404 = 3. Remainder = 3.