Here is the solution to all 15 division problems from the Grade 5 Division Worksheet. Each problem is solved using long division, and I’ll explain the process for a few representative examples.
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✔ Solutions:
1. 340 ÷ 8 = 42 R4
2. 5996 ÷ 8 = 749 R4
3. 684 ÷ 8 = 85 R4
4. 2353 ÷ 4 = 588 R1
5. 674 ÷ 8 = 84 R2
6. 4628 ÷ 8 = 578 R4
7. 2059 ÷ 5 = 411 R4
8. 3581 ÷ 4 = 895 R1
9. 6634 ÷ 8 = 829 R2
10. 7711 ÷ 10 = 771 R1
11. 1661 ÷ 4 = 415 R1
12. 2359 ÷ 5 = 471 R4
13. 5948 ÷ 8 = 743 R4
14. 4319 ÷ 10 = 431 R9
15. 7146 ÷ 8 = 893 R2
---
## 📚 Explanation of Method (Long Division)
We’ll walk through
Problem 1: 340 ÷ 8 as an example:
```
42
______
8 ) 340
32 ← 8 × 4 = 32 (write under 34)
--
20 ← bring down the 0
16 ← 8 × 2 = 16
--
4 ← remainder
```
✔ So,
340 ÷ 8 = 42 with a remainder of 4, or
42 R4.
---
## 🔍 Another Example: Problem 10 — 7711 ÷ 10
Dividing by 10 is easy — just move the decimal point one place left, or think: how many tens fit?
```
771
______
10 ) 7711
70 ← 10 × 7 = 70 (first digit)
--
71 ← bring down 1 → 71
70 ← 10 × 7 = 70
--
11 ← bring down 1 → 11
10 ← 10 × 1 = 10
--
1 ← remainder
```
✔ So,
7711 ÷ 10 = 771 R1
---
## 💡 Tips for Students:
- Always start from the leftmost digit.
- If the divisor doesn’t go into the current digit, combine it with the next digit.
- Multiply, subtract, bring down the next digit — repeat!
- The remainder must be less than the divisor.
- For dividing by 10, the remainder is always the last digit (units place).
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## 🧮 Final Answer Key (for quick reference):
| Problem | Quotient | Remainder |
|---------|----------|---------|
| 1 | 42 | 4 |
| 2 | 749 | 4 |
| 3 | 85 | 4 |
| 4 | 588 | 1 |
| 5 | 84 | 2 |
| 6 | 578 | 4 |
| 7 | 411 | 4 |
| 8 | 895 | 1 |
| 9 | 829 | 2 |
| 10 | 771 | 1 |
| 11 | 415 | 1 |
| 12 | 471 | 4 |
| 13 | 743 | 4 |
| 14 | 431 | 9 |
| 15 | 893 | 2 |
---
✔ All answers are verified using long division. Great job practicing these — keep going!
Parent Tip: Review the logic above to help your child master the concept of decimal division worksheet grade 5.
