Long Division Worksheets for 5th Grade - Free Printable
Educational worksheet: Long Division Worksheets for 5th Grade. Download and print for classroom or home learning activities.
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Step-by-step solution for: Long Division Worksheets for 5th Grade
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Show Answer Key & Explanations
Step-by-step solution for: Long Division Worksheets for 5th Grade
Let’s solve each long division problem step by step. We’ll go one at a time, carefully checking our work.
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Problem 1: 963 ÷ 7
7 into 9 → 1 (since 7×1=7), remainder 2
Bring down 6 → 26
7 into 26 → 3 (7×3=21), remainder 5
Bring down 3 → 53
7 into 53 → 7 (7×7=49), remainder 4
✔ Answer: 137 R4
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Problem 2: 6993 ÷ 7
7 into 6 → 0, so take 69
7 into 69 → 9 (7×9=63), remainder 6
Bring down 9 → 69
7 into 69 → 9 (7×9=63), remainder 6
Bring down 3 → 63
7 into 63 → 9 (7×9=63), remainder 0
✔ Answer: 999
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Problem 3: 792 ÷ 8
8 into 7 → 0, so take 79
8 into 79 → 9 (8×9=72), remainder 7
Bring down 2 → 72
8 into 72 → 9 (8×9=72), remainder 0
✔ Answer: 99
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Problem 4: 7992 ÷ 8
8 into 7 → 0, so take 79
8 into 79 → 9 (8×9=72), remainder 7
Bring down 9 → 79
8 into 79 → 9 (8×9=72), remainder 7
Bring down 2 → 72
8 into 72 → 9 (8×9=72), remainder 0
✔ Answer: 999
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Problem 5: 594 ÷ 6
6 into 5 → 0, so take 59
6 into 59 → 9 (6×9=54), remainder 5
Bring down 4 → 54
6 into 54 → 9 (6×9=54), remainder 0
✔ Answer: 99
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Problem 6: 5994 ÷ 9
9 into 5 → 0, so take 59
9 into 59 → 6 (9×6=54), remainder 5
Bring down 9 → 59
9 into 59 → 6 (9×6=54), remainder 5
Bring down 4 → 54
9 into 54 → 6 (9×6=54), remainder 0
✔ Answer: 666
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Problem 7: 594 ÷ 9
9 into 5 → 0, so take 59
9 into 59 → 6 (9×6=54), remainder 5
Bring down 4 → 54
9 into 54 → 6 (9×6=54), remainder 0
✔ Answer: 66
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Problem 8: 5994 ÷ 9 ← Same as Problem 6
✔ Answer: 666
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Problem 9: 891 ÷ 9
9 into 8 → 0, so take 89
9 into 89 → 9 (9×9=81), remainder 8
Bring down 1 → 81
9 into 81 → 9 (9×9=81), remainder 0
✔ Answer: 99
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Problem 10: 89991 ÷ 9
9 into 8 → 0, so take 89
9 into 89 → 9 (9×9=81), remainder 8
Bring down 9 → 89
9 into 89 → 9 (9×9=81), remainder 8
Bring down 9 → 89
9 into 89 → 9 (9×9=81), remainder 8
Bring down 1 → 81
9 into 81 → 9 (9×9=81), remainder 0
✔ Answer: 9999
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Problem 11: 616 ÷ 8
8 into 6 → 0, so take 61
8 into 61 → 7 (8×7=56), remainder 5
Bring down 6 → 56
8 into 56 → 7 (8×7=56), remainder 0
✔ Answer: 77
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Problem 12: 6216 ÷ 8
8 into 6 → 0, so take 62
8 into 62 → 7 (8×7=56), remainder 6
Bring down 1 → 61
8 into 61 → 7 (8×7=56), remainder 5
Bring down 6 → 56
8 into 56 → 7 (8×7=56), remainder 0
✔ Answer: 777
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Problem 13: 462 ÷ 7
7 into 4 → 0, so take 46
7 into 46 → 6 (7×6=42), remainder 4
Bring down 2 → 42
7 into 42 → 6 (7×6=42), remainder 0
✔ Answer: 66
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Problem 14: 4662 ÷ 7
7 into 4 → 0, so take 46
7 into 46 → 6 (7×6=42), remainder 4
Bring down 6 → 46
7 into 46 → 6 (7×6=42), remainder 4
Bring down 2 → 42
7 into 42 → 6 (7×6=42), remainder 0
✔ Answer: 666
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Problem 15: 462 ÷ 6
6 into 4 → 0, so take 46
6 into 46 → 7 (6×7=42), remainder 4
Bring down 2 → 42
6 into 42 → 7 (6×7=42), remainder 0
✔ Answer: 77
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Problem 16: 4662 ÷ 6
6 into 4 → 0, so take 46
6 into 46 → 7 (6×7=42), remainder 4
Bring down 6 → 46
6 into 46 → 7 (6×7=42), remainder 4
Bring down 2 → 42
6 into 42 → 7 (6×7=42), remainder 0
✔ Answer: 777
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Final Answer:
1. 963 ÷ 7 = 137 R4
2. 6993 ÷ 7 = 999
3. 792 ÷ 8 = 99
4. 7992 ÷ 8 = 999
5. 594 ÷ 6 = 99
6. 5994 ÷ 9 = 666
7. 594 ÷ 9 = 66
8. 5994 ÷ 9 = 666
9. 891 ÷ 9 = 99
10. 89991 ÷ 9 = 9999
11. 616 ÷ 8 = 77
12. 6216 ÷ 8 = 777
13. 462 ÷ 7 = 66
14. 4662 ÷ 7 = 666
15. 462 ÷ 6 = 77
16. 4662 ÷ 6 = 777
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Problem 1: 963 ÷ 7
7 into 9 → 1 (since 7×1=7), remainder 2
Bring down 6 → 26
7 into 26 → 3 (7×3=21), remainder 5
Bring down 3 → 53
7 into 53 → 7 (7×7=49), remainder 4
✔ Answer: 137 R4
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Problem 2: 6993 ÷ 7
7 into 6 → 0, so take 69
7 into 69 → 9 (7×9=63), remainder 6
Bring down 9 → 69
7 into 69 → 9 (7×9=63), remainder 6
Bring down 3 → 63
7 into 63 → 9 (7×9=63), remainder 0
✔ Answer: 999
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Problem 3: 792 ÷ 8
8 into 7 → 0, so take 79
8 into 79 → 9 (8×9=72), remainder 7
Bring down 2 → 72
8 into 72 → 9 (8×9=72), remainder 0
✔ Answer: 99
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Problem 4: 7992 ÷ 8
8 into 7 → 0, so take 79
8 into 79 → 9 (8×9=72), remainder 7
Bring down 9 → 79
8 into 79 → 9 (8×9=72), remainder 7
Bring down 2 → 72
8 into 72 → 9 (8×9=72), remainder 0
✔ Answer: 999
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Problem 5: 594 ÷ 6
6 into 5 → 0, so take 59
6 into 59 → 9 (6×9=54), remainder 5
Bring down 4 → 54
6 into 54 → 9 (6×9=54), remainder 0
✔ Answer: 99
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Problem 6: 5994 ÷ 9
9 into 5 → 0, so take 59
9 into 59 → 6 (9×6=54), remainder 5
Bring down 9 → 59
9 into 59 → 6 (9×6=54), remainder 5
Bring down 4 → 54
9 into 54 → 6 (9×6=54), remainder 0
✔ Answer: 666
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Problem 7: 594 ÷ 9
9 into 5 → 0, so take 59
9 into 59 → 6 (9×6=54), remainder 5
Bring down 4 → 54
9 into 54 → 6 (9×6=54), remainder 0
✔ Answer: 66
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Problem 8: 5994 ÷ 9 ← Same as Problem 6
✔ Answer: 666
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Problem 9: 891 ÷ 9
9 into 8 → 0, so take 89
9 into 89 → 9 (9×9=81), remainder 8
Bring down 1 → 81
9 into 81 → 9 (9×9=81), remainder 0
✔ Answer: 99
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Problem 10: 89991 ÷ 9
9 into 8 → 0, so take 89
9 into 89 → 9 (9×9=81), remainder 8
Bring down 9 → 89
9 into 89 → 9 (9×9=81), remainder 8
Bring down 9 → 89
9 into 89 → 9 (9×9=81), remainder 8
Bring down 1 → 81
9 into 81 → 9 (9×9=81), remainder 0
✔ Answer: 9999
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Problem 11: 616 ÷ 8
8 into 6 → 0, so take 61
8 into 61 → 7 (8×7=56), remainder 5
Bring down 6 → 56
8 into 56 → 7 (8×7=56), remainder 0
✔ Answer: 77
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Problem 12: 6216 ÷ 8
8 into 6 → 0, so take 62
8 into 62 → 7 (8×7=56), remainder 6
Bring down 1 → 61
8 into 61 → 7 (8×7=56), remainder 5
Bring down 6 → 56
8 into 56 → 7 (8×7=56), remainder 0
✔ Answer: 777
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Problem 13: 462 ÷ 7
7 into 4 → 0, so take 46
7 into 46 → 6 (7×6=42), remainder 4
Bring down 2 → 42
7 into 42 → 6 (7×6=42), remainder 0
✔ Answer: 66
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Problem 14: 4662 ÷ 7
7 into 4 → 0, so take 46
7 into 46 → 6 (7×6=42), remainder 4
Bring down 6 → 46
7 into 46 → 6 (7×6=42), remainder 4
Bring down 2 → 42
7 into 42 → 6 (7×6=42), remainder 0
✔ Answer: 666
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Problem 15: 462 ÷ 6
6 into 4 → 0, so take 46
6 into 46 → 7 (6×7=42), remainder 4
Bring down 2 → 42
6 into 42 → 7 (6×7=42), remainder 0
✔ Answer: 77
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Problem 16: 4662 ÷ 6
6 into 4 → 0, so take 46
6 into 46 → 7 (6×7=42), remainder 4
Bring down 6 → 46
6 into 46 → 7 (6×7=42), remainder 4
Bring down 2 → 42
6 into 42 → 7 (6×7=42), remainder 0
✔ Answer: 777
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Final Answer:
1. 963 ÷ 7 = 137 R4
2. 6993 ÷ 7 = 999
3. 792 ÷ 8 = 99
4. 7992 ÷ 8 = 999
5. 594 ÷ 6 = 99
6. 5994 ÷ 9 = 666
7. 594 ÷ 9 = 66
8. 5994 ÷ 9 = 666
9. 891 ÷ 9 = 99
10. 89991 ÷ 9 = 9999
11. 616 ÷ 8 = 77
12. 6216 ÷ 8 = 777
13. 462 ÷ 7 = 66
14. 4662 ÷ 7 = 666
15. 462 ÷ 6 = 77
16. 4662 ÷ 6 = 777
Parent Tip: Review the logic above to help your child master the concept of division worksheets for 5th graders.