Long Division — Answer Key
Part A: Fill in the Blank
Write the missing word or number on each line.
1. 583 ÷ 4 = 145 R 3
The answer is 3. After dividing 583 by 4, the quotient is 145. Multiply back: 4 x 145 = 580, and 583 - 580 = 3, so the remainder is 3.
2. A camp has 275 children split into teams of 6. There are 45 full teams.
The answer is 45. Dividing 275 by 6 gives 45 with a remainder of 5, so 45 complete teams can be formed and 5 children are left over.
3. 1,462 ÷ 7 = 208 R6
The answer is 208. Since 7 x 208 = 1,456 and 1,462 - 1,456 = 6, the quotient is 208 with a remainder of 6.
4. To estimate 689 ÷ 8, use 720 ÷ 8 = 90
The answer is 90. The compatible number 720 is close to 689 and divides evenly by 8, giving an estimate of 90.
5. 2,135 ÷ 5 = 427
The answer is 427. Since 5 x 427 = 2,135, the division works out evenly with no remainder.
6. A baker divides 846 grams of flour equally among 9 bowls. Each bowl gets 94 grams with some left over.
The answer is 94. Dividing 846 by 9 gives 94 because 9 x 94 = 846, so each bowl gets 94 grams with no flour left over.
7. 3,024 ÷ 6 = 504
The answer is 504. Multiply to check: 6 x 504 = 3,024, confirming the quotient is exactly 504.
8. 1,837 ÷ 4 = 459 R 1
The answer is 1. Since 4 x 459 = 1,836 and 1,837 - 1,836 = 1, the remainder after dividing is 1.
9. A school orders 1,596 pencils and shares them equally among 3 classrooms. Each classroom gets 532 pencils.
The answer is 532. Dividing 1,596 pencils into 3 equal groups gives 532 per classroom because 3 x 532 = 1,596.
Part B: Matching
Match each item on the left to the correct answer on the right.
1. Match each item to its correct answer.
819 ÷ 9
→ 91
78
1,104 ÷ 8
→ 138
91
468 ÷ 6
→ 78
138
2,240 ÷ 7
→ 320
320
Correct matches: 819 ÷ 9 → 91; 1,104 ÷ 8 → 138; 468 ÷ 6 → 78; 2,240 ÷ 7 → 320.