Division practice worksheet with 15 long division exercises for students.
A worksheet titled "Division" featuring 15 long division problems with various numbers, designed for educational practice.
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Step-by-step solution for: 5th Grade Multi-Digit Multiplication and Division Worksheet Practice Set
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Show Answer Key & Explanations
Step-by-step solution for: 5th Grade Multi-Digit Multiplication and Division Worksheet Practice Set
I'll solve these division problems step by step, working through each one carefully.
Let me work through all 15 division problems:
Problem 1: 865 ÷ 5
- 5 goes into 8 once (5 × 1 = 5), remainder 3
- Bring down 6: 36
- 5 goes into 36 seven times (5 × 7 = 35), remainder 1
- Bring down 5: 15
- 5 goes into 15 three times (5 × 3 = 15), remainder 0
- Answer: 173
Problem 2: 642 ÷ 2
- 2 goes into 6 three times (2 × 3 = 6), remainder 0
- Bring down 4: 4
- 2 goes into 4 two times (2 × 2 = 4), remainder 0
- Bring down 2: 2
- 2 goes into 2 one time (2 × 1 = 2), remainder 0
- Answer: 321
Problem 3: 399 ÷ 3
- 3 goes into 3 one time (3 × 1 = 3), remainder 0
- Bring down 9: 9
- 3 goes into 9 three times (3 × 3 = 9), remainder 0
- Bring down 9: 9
- 3 goes into 9 three times (3 × 3 = 9), remainder 0
- Answer: 133
Problem 4: 850 ÷ 4
- 4 goes into 8 two times (4 × 2 = 8), remainder 0
- Bring down 5: 5
- 4 goes into 5 one time (4 × 1 = 4), remainder 1
- Bring down 0: 10
- 4 goes into 10 two times (4 × 2 = 8), remainder 2
- Answer: 212 R2 (or 212.5)
Problem 5: 375 ÷ 6
- 6 goes into 3 zero times, so we look at 37
- 6 goes into 37 six times (6 × 6 = 36), remainder 1
- Bring down 5: 15
- 6 goes into 15 two times (6 × 2 = 12), remainder 3
- Answer: 62 R3 (or 62.5)
Problem 6: 1488 ÷ 2
- 2 goes into 1 zero times, so we look at 14
- 2 goes into 14 seven times (2 × 7 = 14), remainder 0
- Bring down 8: 8
- 2 goes into 8 four times (2 × 4 = 8), remainder 0
- Bring down 8: 8
- 2 goes into 8 four times (2 × 4 = 8), remainder 0
- Answer: 744
Problem 7: 2680 ÷ 8
- 8 goes into 2 zero times, so we look at 26
- 8 goes into 26 three times (8 × 3 = 24), remainder 2
- Bring down 8: 28
- 8 goes into 28 three times (8 × 3 = 24), remainder 4
- Bring down 0: 40
- 8 goes into 40 five times (8 × 5 = 40), remainder 0
- Answer: 335
Problem 8: 3748 ÷ 5
- 5 goes into 3 zero times, so we look at 37
- 5 goes into 37 seven times (5 × 7 = 35), remainder 2
- Bring down 4: 24
- 5 goes into 24 four times (5 × 4 = 20), remainder 4
- Bring down 8: 48
- 5 goes into 48 nine times (5 × 9 = 45), remainder 3
- Answer: 749 R3 (or 749.6)
Problem 9: 4690 ÷ 10
- This is easy - dividing by 10 just removes the last digit
- Answer: 469
Problem 10: 9800 ÷ 14
- 14 goes into 9 zero times, so we look at 98
- 14 goes into 98 seven times (14 × 7 = 98), remainder 0
- Bring down 0: 0
- 14 goes into 0 zero times
- Bring down 0: 0
- 14 goes into 0 zero times
- Answer: 700
Problem 11: 7404 ÷ 16
- 16 goes into 7 zero times, so we look at 74
- 16 goes into 74 four times (16 × 4 = 64), remainder 10
- Bring down 0: 100
- 16 goes into 100 six times (16 × 6 = 96), remainder 4
- Bring down 4: 44
- 16 goes into 44 two times (16 × 2 = 32), remainder 12
- Answer: 462 R12 (or 462.75)
Problem 12: 5575 ÷ 25
- 25 goes into 5 zero times, so we look at 55
- 25 goes into 55 two times (25 × 2 = 50), remainder 5
- Bring down 7: 57
- 25 goes into 57 two times (25 × 2 = 50), remainder 7
- Bring down 5: 75
- 25 goes into 75 three times (25 × 3 = 75), remainder 0
- Answer: 223
Problem 13: 8280 ÷ 20
- 20 goes into 8 zero times, so we look at 82
- 20 goes into 82 four times (20 × 4 = 80), remainder 2
- Bring down 8: 28
- 20 goes into 28 one time (20 × 1 = 20), remainder 8
- Bring down 0: 80
- 20 goes into 80 four times (20 × 4 = 80), remainder 0
- Answer: 414
Problem 14: 9999 ÷ 33
- 33 goes into 9 zero times, so we look at 99
- 33 goes into 99 three times (33 × 3 = 99), remainder 0
- Bring down 9: 9
- 33 goes into 9 zero times
- Bring down 9: 99
- 33 goes into 99 three times (33 × 3 = 99), remainder 0
- Answer: 303
Problem 15: 3740 ÷ 40
- 40 goes into 3 zero times, so we look at 37
- 40 goes into 37 zero times, so we look at 374
- 40 goes into 374 nine times (40 × 9 = 360), remainder 14
- Bring down 0: 140
- 40 goes into 140 three times (40 × 3 = 120), remainder 20
- Wait, let me recalculate: 40 × 9 = 360, 374 - 360 = 14, bring down 0 = 140
- 40 goes into 140 three times (40 × 3 = 120), but that leaves remainder 20
- Let me check: 40 × 93 = 3720, and 3740 - 3720 = 20
- Actually, 40 × 93.5 = 3740, or 93 R20
- Let me verify: 93 × 40 = 3720, 3740 - 3720 = 20
- Answer: 93 R20 (or 93.5)
Let me double-check problem 15:
3740 ÷ 40
- 40 into 374: 40 × 9 = 360, remainder 14
- Bring down 0: 140
- 40 into 140: 40 × 3 = 120, remainder 20
- So answer is 93 R20, which equals 93.5
Actually, let me reconsider: 93.5 × 40 = 3740 ✓
Final Answer:
1. 173
2. 321
3. 133
4. 212 R2 (or 212.5)
5. 62 R3 (or 62.5)
6. 744
7. 335
8. 749 R3 (or 749.6)
9. 469
10. 700
11. 462 R12 (or 462.75)
12. 223
13. 414
14. 303
15. 93 R20 (or 93.5)
Let me work through all 15 division problems:
Problem 1: 865 ÷ 5
- 5 goes into 8 once (5 × 1 = 5), remainder 3
- Bring down 6: 36
- 5 goes into 36 seven times (5 × 7 = 35), remainder 1
- Bring down 5: 15
- 5 goes into 15 three times (5 × 3 = 15), remainder 0
- Answer: 173
Problem 2: 642 ÷ 2
- 2 goes into 6 three times (2 × 3 = 6), remainder 0
- Bring down 4: 4
- 2 goes into 4 two times (2 × 2 = 4), remainder 0
- Bring down 2: 2
- 2 goes into 2 one time (2 × 1 = 2), remainder 0
- Answer: 321
Problem 3: 399 ÷ 3
- 3 goes into 3 one time (3 × 1 = 3), remainder 0
- Bring down 9: 9
- 3 goes into 9 three times (3 × 3 = 9), remainder 0
- Bring down 9: 9
- 3 goes into 9 three times (3 × 3 = 9), remainder 0
- Answer: 133
Problem 4: 850 ÷ 4
- 4 goes into 8 two times (4 × 2 = 8), remainder 0
- Bring down 5: 5
- 4 goes into 5 one time (4 × 1 = 4), remainder 1
- Bring down 0: 10
- 4 goes into 10 two times (4 × 2 = 8), remainder 2
- Answer: 212 R2 (or 212.5)
Problem 5: 375 ÷ 6
- 6 goes into 3 zero times, so we look at 37
- 6 goes into 37 six times (6 × 6 = 36), remainder 1
- Bring down 5: 15
- 6 goes into 15 two times (6 × 2 = 12), remainder 3
- Answer: 62 R3 (or 62.5)
Problem 6: 1488 ÷ 2
- 2 goes into 1 zero times, so we look at 14
- 2 goes into 14 seven times (2 × 7 = 14), remainder 0
- Bring down 8: 8
- 2 goes into 8 four times (2 × 4 = 8), remainder 0
- Bring down 8: 8
- 2 goes into 8 four times (2 × 4 = 8), remainder 0
- Answer: 744
Problem 7: 2680 ÷ 8
- 8 goes into 2 zero times, so we look at 26
- 8 goes into 26 three times (8 × 3 = 24), remainder 2
- Bring down 8: 28
- 8 goes into 28 three times (8 × 3 = 24), remainder 4
- Bring down 0: 40
- 8 goes into 40 five times (8 × 5 = 40), remainder 0
- Answer: 335
Problem 8: 3748 ÷ 5
- 5 goes into 3 zero times, so we look at 37
- 5 goes into 37 seven times (5 × 7 = 35), remainder 2
- Bring down 4: 24
- 5 goes into 24 four times (5 × 4 = 20), remainder 4
- Bring down 8: 48
- 5 goes into 48 nine times (5 × 9 = 45), remainder 3
- Answer: 749 R3 (or 749.6)
Problem 9: 4690 ÷ 10
- This is easy - dividing by 10 just removes the last digit
- Answer: 469
Problem 10: 9800 ÷ 14
- 14 goes into 9 zero times, so we look at 98
- 14 goes into 98 seven times (14 × 7 = 98), remainder 0
- Bring down 0: 0
- 14 goes into 0 zero times
- Bring down 0: 0
- 14 goes into 0 zero times
- Answer: 700
Problem 11: 7404 ÷ 16
- 16 goes into 7 zero times, so we look at 74
- 16 goes into 74 four times (16 × 4 = 64), remainder 10
- Bring down 0: 100
- 16 goes into 100 six times (16 × 6 = 96), remainder 4
- Bring down 4: 44
- 16 goes into 44 two times (16 × 2 = 32), remainder 12
- Answer: 462 R12 (or 462.75)
Problem 12: 5575 ÷ 25
- 25 goes into 5 zero times, so we look at 55
- 25 goes into 55 two times (25 × 2 = 50), remainder 5
- Bring down 7: 57
- 25 goes into 57 two times (25 × 2 = 50), remainder 7
- Bring down 5: 75
- 25 goes into 75 three times (25 × 3 = 75), remainder 0
- Answer: 223
Problem 13: 8280 ÷ 20
- 20 goes into 8 zero times, so we look at 82
- 20 goes into 82 four times (20 × 4 = 80), remainder 2
- Bring down 8: 28
- 20 goes into 28 one time (20 × 1 = 20), remainder 8
- Bring down 0: 80
- 20 goes into 80 four times (20 × 4 = 80), remainder 0
- Answer: 414
Problem 14: 9999 ÷ 33
- 33 goes into 9 zero times, so we look at 99
- 33 goes into 99 three times (33 × 3 = 99), remainder 0
- Bring down 9: 9
- 33 goes into 9 zero times
- Bring down 9: 99
- 33 goes into 99 three times (33 × 3 = 99), remainder 0
- Answer: 303
Problem 15: 3740 ÷ 40
- 40 goes into 3 zero times, so we look at 37
- 40 goes into 37 zero times, so we look at 374
- 40 goes into 374 nine times (40 × 9 = 360), remainder 14
- Bring down 0: 140
- 40 goes into 140 three times (40 × 3 = 120), remainder 20
- Wait, let me recalculate: 40 × 9 = 360, 374 - 360 = 14, bring down 0 = 140
- 40 goes into 140 three times (40 × 3 = 120), but that leaves remainder 20
- Let me check: 40 × 93 = 3720, and 3740 - 3720 = 20
- Actually, 40 × 93.5 = 3740, or 93 R20
- Let me verify: 93 × 40 = 3720, 3740 - 3720 = 20
- Answer: 93 R20 (or 93.5)
Let me double-check problem 15:
3740 ÷ 40
- 40 into 374: 40 × 9 = 360, remainder 14
- Bring down 0: 140
- 40 into 140: 40 × 3 = 120, remainder 20
- So answer is 93 R20, which equals 93.5
Actually, let me reconsider: 93.5 × 40 = 3740 ✓
Final Answer:
1. 173
2. 321
3. 133
4. 212 R2 (or 212.5)
5. 62 R3 (or 62.5)
6. 744
7. 335
8. 749 R3 (or 749.6)
9. 469
10. 700
11. 462 R12 (or 462.75)
12. 223
13. 414
14. 303
15. 93 R20 (or 93.5)
Parent Tip: Review the logic above to help your child master the concept of 5th grade math division worksheet.