Long Division — Answer Key
Part A: Multiple Choice
Circle the best answer for each question.
1. A bus holds 9 passengers. There are 58 people waiting. How many buses are needed so everyone gets a seat?
A) 5
B) 6
C) 7
D) 8
The correct answer is C) 7. A bus holds 9 passengers. There are 58 people waiting. How many buses are needed so everyone gets a seat — the answer is 7.
2. What is 2,347 ÷ 5?
A) 468 R7
B) 469 R2
C) 470 R7
D) 467 R2
The correct answer is B) 469 R2. What is 2,347 ÷ 5 — the answer is 469 R2.
3. A ribbon is 100 cm long. Bows need 7 cm each. How many full bows can be made?
A) 13
B) 14
C) 15
D) 16
The correct answer is B) 14. A ribbon is 100 cm long. Bows need 7 cm each. How many full bows can be made — the answer is 14.
4. Which division problem has a remainder of 0?
A) 1,573 ÷ 6
B) 2,145 ÷ 8
C) 1,764 ÷ 7
D) 3,259 ÷ 4
The correct answer is C) 1,764 ÷ 7. Which division problem has a remainder of 0 — the answer is 1,764 ÷ 7.
Part B: Fill in the Blank
Write the correct answer on each line.
1. 3,625 ÷ 8 = 453 R 1
The answer is 1. After dividing, 8 x 453 = 3,624, and 3,625 - 3,624 = 1, so the remainder is 1.
2. A farmer packs 1,000 eggs into cartons of 6. He fills 166 full cartons.
The answer is 166. Since 6 x 166 = 996 and 1,000 - 996 = 4, the farmer can fill 166 complete cartons with 4 eggs remaining.
3. 4,519 ÷ 9 = 502 R1
The answer is 502. Multiply to check: 9 x 502 = 4,518, and 4,519 - 4,518 = 1, confirming the quotient is 502 with remainder 1.
4. To check 567 ÷ 7 = 81, compute 7 × 81 = 567
The answer is 567. Multiplying the divisor by the quotient (7 x 81 = 567) gives back the original dividend, proving the division is correct.
5. A teacher has 250 sheets of paper to share equally among 8 students. Each student gets 31 sheets.
The answer is 31. Dividing 250 by 8 gives 31 with a remainder of 2, so each student receives 31 full sheets.