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Long Division with no remainder - Math Worksheets - MathsDiary.com - Free Printable

Long Division with no remainder - Math Worksheets - MathsDiary.com

Educational worksheet: Long Division with no remainder - Math Worksheets - MathsDiary.com. Download and print for classroom or home learning activities.

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Here are the solutions to all 10 division problems, with step-by-step explanations for each.

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1. 301 ÷ 7

We divide 301 by 7.

- 7 goes into 30 4 times (7 × 4 = 28). Subtract: 30 - 28 = 2.
- Bring down the 1 → 21.
- 7 goes into 21 3 times (7 × 3 = 21). Subtract: 21 - 21 = 0.

Quotient: 43

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2. 6,422 ÷ 2

Divide 6,422 by 2.

- 2 goes into 6 → 3 (2 × 3 = 6), remainder 0.
- Bring down 4 → 4. 2 goes into 4 → 2 (2 × 2 = 4), remainder 0.
- Bring down 2 → 2. 2 goes into 2 → 1 (2 × 1 = 2), remainder 0.
- Bring down 2 → 2. 2 goes into 2 → 1 (2 × 1 = 2), remainder 0.

Quotient: 3,211

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3. 184 ÷ 8

Divide 184 by 8.

- 8 goes into 18 → 2 (8 × 2 = 16). Subtract: 18 - 16 = 2.
- Bring down 4 → 24.
- 8 goes into 24 → 3 (8 × 3 = 24). Subtract: 24 - 24 = 0.

Quotient: 23

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4. 2,428 ÷ 4

Divide 2,428 by 4.

- 4 goes into 2? No → consider 24.
- 4 goes into 24 → 6 (4 × 6 = 24). Subtract: 24 - 24 = 0.
- Bring down 2 → 2. 4 goes into 2? No → write 0 in quotient.
- Bring down 8 → 28.
- 4 goes into 28 → 7 (4 × 7 = 28). Subtract: 28 - 28 = 0.

Quotient: 607

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5. 8,286 ÷ 3

Divide 8,286 by 3.

- 3 goes into 8 → 2 (3 × 2 = 6). Subtract: 8 - 6 = 2.
- Bring down 2 → 22. 3 goes into 22 → 7 (3 × 7 = 21). Subtract: 22 - 21 = 1.
- Bring down 8 → 18. 3 goes into 18 → 6 (3 × 6 = 18). Subtract: 18 - 18 = 0.
- Bring down 6 → 6. 3 goes into 6 → 2 (3 × 2 = 6). Subtract: 6 - 6 = 0.

Quotient: 2,762

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6. 5,778 ÷ 6

Divide 5,778 by 6.

- 6 goes into 5? No → consider 57.
- 6 goes into 57 → 9 (6 × 9 = 54). Subtract: 57 - 54 = 3.
- Bring down 7 → 37. 6 goes into 37 → 6 (6 × 6 = 36). Subtract: 37 - 36 = 1.
- Bring down 8 → 18. 6 goes into 18 → 3 (6 × 3 = 18). Subtract: 18 - 18 = 0.

Quotient: 963

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7. 714 ÷ 6

Divide 714 by 6.

- 6 goes into 7 → 1 (6 × 1 = 6). Subtract: 7 - 6 = 1.
- Bring down 1 → 11. 6 goes into 11 → 1 (6 × 1 = 6). Subtract: 11 - 6 = 5.
- Bring down 4 → 54. 6 goes into 54 → 9 (6 × 9 = 54). Subtract: 54 - 54 = 0.

Quotient: 119

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8. 1,062 ÷ 6

Divide 1,062 by 6.

- 6 goes into 1? No → consider 10.
- 6 goes into 10 → 1 (6 × 1 = 6). Subtract: 10 - 6 = 4.
- Bring down 6 → 46. 6 goes into 46 → 7 (6 × 7 = 42). Subtract: 46 - 42 = 4.
- Bring down 2 → 42. 6 goes into 42 → 7 (6 × 7 = 42). Subtract: 42 - 42 = 0.

Quotient: 177

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9. 6,813 ÷ 1

Any number divided by 1 is itself.

Quotient: 6,813

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10. 4,626 ÷ 6

Divide 4,626 by 6.

- 6 goes into 4? No → consider 46.
- 6 goes into 46 → 7 (6 × 7 = 42). Subtract: 46 - 42 = 4.
- Bring down 2 → 42. 6 goes into 42 → 7 (6 × 7 = 42). Subtract: 42 - 42 = 0.
- Bring down 6 → 6. 6 goes into 6 → 1 (6 × 1 = 6). Subtract: 6 - 6 = 0.

Quotient: 771

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## Final Answers:

1. 43
2. 3,211
3. 23
4. 607
5. 2,762
6. 963
7. 119
8. 177
9. 6,813
10. 771

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Parent Tip: Review the logic above to help your child master the concept of basic division worksheet no.
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