4th Grade Long Division Worksheets - Free Printable
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Step-by-step solution for: 4th Grade Long Division Worksheets
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Show Answer Key & Explanations
Step-by-step solution for: 4th Grade Long Division Worksheets
Let's solve each of the division problems step by step. These are long division problems, and we'll find the quotient for each.
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Divide 195 by 3:
- 3 goes into 19 six times (3 × 6 = 18), remainder 1
- Bring down 5 → 15
- 3 goes into 15 five times (3 × 5 = 15), remainder 0
✔ Answer: 65
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Divide 492 by 4:
- 4 goes into 4 one time → 4 × 1 = 4, subtract → 0
- Bring down 9 → 9
- 4 goes into 9 two times → 4 × 2 = 8, remainder 1
- Bring down 2 → 12
- 4 goes into 12 three times → 4 × 3 = 12, remainder 0
✔ Answer: 123
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Divide 486 by 9:
- 9 goes into 48 five times → 9 × 5 = 45, remainder 3
- Bring down 6 → 36
- 9 goes into 36 four times → 9 × 4 = 36, remainder 0
✔ Answer: 54
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Divide 684 by 6:
- 6 goes into 6 one time → 6 × 1 = 6, remainder 0
- Bring down 8 → 8
- 6 goes into 8 one time → 6 × 1 = 6, remainder 2
- Bring down 4 → 24
- 6 goes into 24 four times → 6 × 4 = 24, remainder 0
✔ Answer: 114
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Divide 655 by 5:
- 5 goes into 6 one time → 5 × 1 = 5, remainder 1
- Bring down 5 → 15
- 5 goes into 15 three times → 5 × 3 = 15, remainder 0
- Bring down 5 → 5
- 5 goes into 5 one time → 5 × 1 = 5, remainder 0
✔ Answer: 131
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Divide 852 by 6:
- 6 goes into 8 one time → 6 × 1 = 6, remainder 2
- Bring down 5 → 25
- 6 goes into 25 four times → 6 × 4 = 24, remainder 1
- Bring down 2 → 12
- 6 goes into 12 two times → 6 × 2 = 12, remainder 0
✔ Answer: 142
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Divide 523 by 6:
- 6 goes into 5 zero times → consider 52
- 6 goes into 52 eight times → 6 × 8 = 48, remainder 4
- Bring down 3 → 43
- 6 goes into 43 seven times → 6 × 7 = 42, remainder 1
✔ Answer: 87 R1 (or 87 with a remainder of 1)
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Divide 588 by 9:
- 9 goes into 5 zero times → consider 58
- 9 goes into 58 six times → 9 × 6 = 54, remainder 4
- Bring down 8 → 48
- 9 goes into 48 five times → 9 × 5 = 45, remainder 3
✔ Answer: 65 R3
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Divide 824 by 5:
- 5 goes into 8 one time → 5 × 1 = 5, remainder 3
- Bring down 2 → 32
- 5 goes into 32 six times → 5 × 6 = 30, remainder 2
- Bring down 4 → 24
- 5 goes into 24 four times → 5 × 4 = 20, remainder 4
✔ Answer: 164 R4
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Divide 515 by 8:
- 8 goes into 5 zero times → consider 51
- 8 goes into 51 six times → 8 × 6 = 48, remainder 3
- Bring down 5 → 35
- 8 goes into 35 four times → 8 × 4 = 32, remainder 3
✔ Answer: 64 R3
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Divide 297 by 4:
- 4 goes into 2 zero times → consider 29
- 4 goes into 29 seven times → 4 × 7 = 28, remainder 1
- Bring down 7 → 17
- 4 goes into 17 four times → 4 × 4 = 16, remainder 1
✔ Answer: 74 R1
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Divide 393 by 5:
- 5 goes into 3 zero times → consider 39
- 5 goes into 39 seven times → 5 × 7 = 35, remainder 4
- Bring down 3 → 43
- 5 goes into 43 eight times → 5 × 8 = 40, remainder 3
✔ Answer: 78 R3
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Divide 477 by 6:
- 6 goes into 4 zero times → consider 47
- 6 goes into 47 seven times → 6 × 7 = 42, remainder 5
- Bring down 7 → 57
- 6 goes into 57 nine times → 6 × 9 = 54, remainder 3
✔ Answer: 79 R3
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Divide 273 by 8:
- 8 goes into 2 zero times → consider 27
- 8 goes into 27 three times → 8 × 3 = 24, remainder 3
- Bring down 3 → 33
- 8 goes into 33 four times → 8 × 4 = 32, remainder 1
✔ Answer: 34 R1
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Divide 494 by 6:
- 6 goes into 4 zero times → consider 49
- 6 goes into 49 eight times → 6 × 8 = 48, remainder 1
- Bring down 4 → 14
- 6 goes into 14 two times → 6 × 2 = 12, remainder 2
✔ Answer: 82 R2
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1. 65
2. 123
3. 54
4. 114
5. 131
6. 142
7. 87 R1
8. 65 R3
9. 164 R4
10. 64 R3
11. 74 R1
12. 78 R3
13. 79 R3
14. 34 R1
15. 82 R2
Let me know if you'd like these written in long division format or explained further!
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1. 3)195
Divide 195 by 3:
- 3 goes into 19 six times (3 × 6 = 18), remainder 1
- Bring down 5 → 15
- 3 goes into 15 five times (3 × 5 = 15), remainder 0
✔ Answer: 65
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2. 4)492
Divide 492 by 4:
- 4 goes into 4 one time → 4 × 1 = 4, subtract → 0
- Bring down 9 → 9
- 4 goes into 9 two times → 4 × 2 = 8, remainder 1
- Bring down 2 → 12
- 4 goes into 12 three times → 4 × 3 = 12, remainder 0
✔ Answer: 123
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3. 9)486
Divide 486 by 9:
- 9 goes into 48 five times → 9 × 5 = 45, remainder 3
- Bring down 6 → 36
- 9 goes into 36 four times → 9 × 4 = 36, remainder 0
✔ Answer: 54
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4. 6)684
Divide 684 by 6:
- 6 goes into 6 one time → 6 × 1 = 6, remainder 0
- Bring down 8 → 8
- 6 goes into 8 one time → 6 × 1 = 6, remainder 2
- Bring down 4 → 24
- 6 goes into 24 four times → 6 × 4 = 24, remainder 0
✔ Answer: 114
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5. 5)655
Divide 655 by 5:
- 5 goes into 6 one time → 5 × 1 = 5, remainder 1
- Bring down 5 → 15
- 5 goes into 15 three times → 5 × 3 = 15, remainder 0
- Bring down 5 → 5
- 5 goes into 5 one time → 5 × 1 = 5, remainder 0
✔ Answer: 131
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6. 6)852
Divide 852 by 6:
- 6 goes into 8 one time → 6 × 1 = 6, remainder 2
- Bring down 5 → 25
- 6 goes into 25 four times → 6 × 4 = 24, remainder 1
- Bring down 2 → 12
- 6 goes into 12 two times → 6 × 2 = 12, remainder 0
✔ Answer: 142
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7. 6)523
Divide 523 by 6:
- 6 goes into 5 zero times → consider 52
- 6 goes into 52 eight times → 6 × 8 = 48, remainder 4
- Bring down 3 → 43
- 6 goes into 43 seven times → 6 × 7 = 42, remainder 1
✔ Answer: 87 R1 (or 87 with a remainder of 1)
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8. 9)588
Divide 588 by 9:
- 9 goes into 5 zero times → consider 58
- 9 goes into 58 six times → 9 × 6 = 54, remainder 4
- Bring down 8 → 48
- 9 goes into 48 five times → 9 × 5 = 45, remainder 3
✔ Answer: 65 R3
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9. 5)824
Divide 824 by 5:
- 5 goes into 8 one time → 5 × 1 = 5, remainder 3
- Bring down 2 → 32
- 5 goes into 32 six times → 5 × 6 = 30, remainder 2
- Bring down 4 → 24
- 5 goes into 24 four times → 5 × 4 = 20, remainder 4
✔ Answer: 164 R4
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10. 8)515
Divide 515 by 8:
- 8 goes into 5 zero times → consider 51
- 8 goes into 51 six times → 8 × 6 = 48, remainder 3
- Bring down 5 → 35
- 8 goes into 35 four times → 8 × 4 = 32, remainder 3
✔ Answer: 64 R3
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11. 4)297
Divide 297 by 4:
- 4 goes into 2 zero times → consider 29
- 4 goes into 29 seven times → 4 × 7 = 28, remainder 1
- Bring down 7 → 17
- 4 goes into 17 four times → 4 × 4 = 16, remainder 1
✔ Answer: 74 R1
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12. 5)393
Divide 393 by 5:
- 5 goes into 3 zero times → consider 39
- 5 goes into 39 seven times → 5 × 7 = 35, remainder 4
- Bring down 3 → 43
- 5 goes into 43 eight times → 5 × 8 = 40, remainder 3
✔ Answer: 78 R3
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13. 6)477
Divide 477 by 6:
- 6 goes into 4 zero times → consider 47
- 6 goes into 47 seven times → 6 × 7 = 42, remainder 5
- Bring down 7 → 57
- 6 goes into 57 nine times → 6 × 9 = 54, remainder 3
✔ Answer: 79 R3
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14. 8)273
Divide 273 by 8:
- 8 goes into 2 zero times → consider 27
- 8 goes into 27 three times → 8 × 3 = 24, remainder 3
- Bring down 3 → 33
- 8 goes into 33 four times → 8 × 4 = 32, remainder 1
✔ Answer: 34 R1
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15. 6)494
Divide 494 by 6:
- 6 goes into 4 zero times → consider 49
- 6 goes into 49 eight times → 6 × 8 = 48, remainder 1
- Bring down 4 → 14
- 6 goes into 14 two times → 6 × 2 = 12, remainder 2
✔ Answer: 82 R2
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✔ Final Answers:
1. 65
2. 123
3. 54
4. 114
5. 131
6. 142
7. 87 R1
8. 65 R3
9. 164 R4
10. 64 R3
11. 74 R1
12. 78 R3
13. 79 R3
14. 34 R1
15. 82 R2
Let me know if you'd like these written in long division format or explained further!
Parent Tip: Review the logic above to help your child master the concept of division worksheets grade 4.