Answer Keys: Multi-digit Division

Grade 4 Mathematics | FAST Success Kit

Teacher/Parent Resource: This page contains all answers. Keep separate from student materials.
Student Concept Worksheet Answers
1. 728 / 4
182
2. 1,935 / 5
387
3. 259 / 6
43 R 1
4. 175 apples / 8
21 full bags, 7 left over
5. 29 students / 4
8 groups (round up from 7 R 1)
Practice Worksheet Answers

Part A: Division Facts

1.
9
2.
9
3.
9
4.
12
5.
9

Part B: 4-digit by 1-digit (No Remainders)

6. 2,436 / 4
609
7. 3,255 / 5
651
8. 4,872 / 6
812
9. 5,607 / 7
801
10. 6,408 / 8
801
11. 2,736 / 3
912
12. 7,218 / 9
802
13. 4,056 / 4
1,014

Part C: Division with Remainders

14. 347 / 5
69 R 2
15. 629 / 8
78 R 5
16. 1,457 / 6
242 R 5
17. 2,345 / 7
335 R 0 (no R)
18. 3,698 / 4
924 R 2
19. 5,003 / 9
556 R 0 (no R)

Part D: Word Problems

20. 1,248 / 6
208 students per team
21. 147 / 8
18 full boxes (drop R 3)
22. 53 / 7
8 vans (round up from 7 R 4)
23. 2,345 / 9
260 pieces, 5 inches left
24. 3,672 / 8
459 boxes (round up)
25. 4,532 / 7
$647.43 each (or $647 R 1)
FAST Practice Quiz Answers
1
B. 408
2,856 / 7: 7 goes into 28 four times (28), into 5 zero times, into 56 eight times. Answer: 408. Check: 408 x 7 = 2,856.
2
B. 608
3,648 / 6: 6 goes into 36 six times (36), into 4 zero times, into 48 eight times. Answer: 608. Check: 608 x 6 = 3,648.
3
A. 369 books
1,845 / 5 = 369. Check: 369 x 5 = 1,845. Each shelf gets 369 books.
4
A. 30 R 7
247 / 8: 8 x 30 = 240. 247 - 240 = 7. Answer: 30 R 7. Check: 30 x 8 + 7 = 247.
5
504
4,536 / 9 = 504. Check: 504 x 9 = 4,536. No remainder.
6
A. 21 pencils each, 7 left over
175 / 8 = 21 R 7. Check: 21 x 8 = 168. 175 - 168 = 7. Each student gets 21 pencils, 7 remain.
7
B. 10 buses
83 / 9 = 9 R 2. But we need to fit ALL 83 students! 9 buses only fit 81 students. Need 10 buses to include the remaining 2.
8
C. 753
6,024 / 8 = 753. Check: 753 x 8 = 6,024. Note the 0 in the quotient is easy to miss!
9
26
156 / 6 = 26 with no remainder. The baker can fill exactly 26 full boxes. Check: 26 x 6 = 156.
10
B. 413 stickers
2,478 / 6 = 413 R 0 (no remainder). Each friend gets exactly 413 stickers. Check: 413 x 6 = 2,478.

Scoring Guide

Assessment Total Points Proficient (70%+) Needs Support
Student Concept Worksheet 5 points 4+ correct Review partial quotients method
Practice Worksheet 25 points 18+ correct Focus on remainder interpretation
FAST Practice Quiz 10 points 7+ correct Practice with word problems

Common Errors: Forgetting zeros in quotient (getting 48 instead of 408), remainder larger than divisor, not interpreting remainders correctly in context, subtraction errors in long division.

FAST Success Kit | Grade 4 | FL B.E.S.T. Standard: MA.4.NSO.2.2