Let's solve each of the
single-digit division problems with remainders from the worksheet. We'll find the
quotient and
remainder for each problem.
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🔢 Division Basics:
When dividing two numbers, we use:
>
Dividend ÷ Divisor = Quotient + Remainder
We can check using:
>
Dividend = (Divisor × Quotient) + Remainder
Let’s go through each problem one by one.
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1. 30 ÷ 3
- 3 goes into 30 exactly 10 times.
-
30 = 3 × 10 + 0
-
✔ Quotient = 10,
Remainder = 0
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2. 61 ÷ 8
- 8 × 7 = 56
- 61 - 56 = 5
-
✔ Quotient = 7,
Remainder = 5
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3. 95 ÷ 7
- 7 × 13 = 91
- 95 - 91 = 4
-
✔ Quotient = 13,
Remainder = 4
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4. 86 ÷ 5
- 5 × 17 = 85
- 86 - 85 = 1
-
✔ Quotient = 17,
Remainder = 1
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5. 93 ÷ 4
- 4 × 23 = 92
- 93 - 92 = 1
-
✔ Quotient = 23,
Remainder = 1
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6. 20 ÷ 6
- 6 × 3 = 18
- 20 - 18 = 2
-
✔ Quotient = 3,
Remainder = 2
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7. 24 ÷ 6
- 6 × 4 = 24
-
✔ Quotient = 4,
Remainder = 0
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8. 76 ÷ 8
- 8 × 9 = 72
- 76 - 72 = 4
-
✔ Quotient = 9,
Remainder = 4
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9. 99 ÷ 6
- 6 × 16 = 96
- 99 - 96 = 3
-
✔ Quotient = 16,
Remainder = 3
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10. 86 ÷ 3
- 3 × 28 = 84
- 86 - 84 = 2
-
✔ Quotient = 28,
Remainder = 2
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11. 3 ÷ 5
- 5 doesn't go into 3 at all.
- So quotient is 0, remainder is 3.
-
✔ Quotient = 0,
Remainder = 3
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12. 10 ÷ 8
- 8 × 1 = 8
- 10 - 8 = 2
-
✔ Quotient = 1,
Remainder = 2
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13. 51 ÷ 7
- 7 × 7 = 49
- 51 - 49 = 2
-
✔ Quotient = 7,
Remainder = 2
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14. 96 ÷ 5
- 5 × 19 = 95
- 96 - 95 = 1
-
✔ Quotient = 19,
Remainder = 1
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15. 91 ÷ 4
- 4 × 22 = 88
- 91 - 88 = 3
-
✔ Quotient = 22,
Remainder = 3
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16. 77 ÷ 4
- 4 × 19 = 76
- 77 - 76 = 1
-
✔ Quotient = 19,
Remainder = 1
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17. 71 ÷ 6
- 6 × 11 = 66
- 71 - 66 = 5
-
✔ Quotient = 11,
Remainder = 5
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18. 29 ÷ 7
- 7 × 4 = 28
- 29 - 28 = 1
-
✔ Quotient = 4,
Remainder = 1
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19. 45 ÷ 6
- 6 × 7 = 42
- 45 - 42 = 3
-
✔ Quotient = 7,
Remainder = 3
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20. 41 ÷ 7
- 7 × 5 = 35
- 41 - 35 = 6
-
✔ Quotient = 5,
Remainder = 6
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✔ Final Answers:
| Problem | Answer (Quotient + Remainder) |
|--------|-------------------------------|
| 1. 30 ÷ 3 | 10 R0 |
| 2. 61 ÷ 8 | 7 R5 |
| 3. 95 ÷ 7 | 13 R4 |
| 4. 86 ÷ 5 | 17 R1 |
| 5. 93 ÷ 4 | 23 R1 |
| 6. 20 ÷ 6 | 3 R2 |
| 7. 24 ÷ 6 | 4 R0 |
| 8. 76 ÷ 8 | 9 R4 |
| 9. 99 ÷ 6 | 16 R3 |
| 10. 86 ÷ 3 | 28 R2 |
| 11. 3 ÷ 5 | 0 R3 |
| 12. 10 ÷ 8 | 1 R2 |
| 13. 51 ÷ 7 | 7 R2 |
| 14. 96 ÷ 5 | 19 R1 |
| 15. 91 ÷ 4 | 22 R3 |
| 16. 77 ÷ 4 | 19 R1 |
| 17. 71 ÷ 6 | 11 R5 |
| 18. 29 ÷ 7 | 4 R1 |
| 19. 45 ÷ 6 | 7 R3 |
| 20. 41 ÷ 7 | 5 R6 |
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📝 Tips:
- Always check if the divisor fits into the dividend.
- Multiply the quotient by the divisor and add the remainder — it should equal the original number.
- Use estimation to help (e.g., "How many times does 7 go into 51?" → try 7×7=49).
Let me know if you'd like this in a printable format or with step-by-step long division shown!
Parent Tip: Review the logic above to help your child master the concept of fourth grade math worksheet division.
