Grade 5 Long Division Worksheets: 2 digit divisors | Worsheets library - Free Printable
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Step-by-step solution for: Grade 5 Long Division Worksheets: 2 digit divisors | Worsheets library
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Show Answer Key & Explanations
Step-by-step solution for: Grade 5 Long Division Worksheets: 2 digit divisors | Worsheets library
Let's solve each of the short division problems on the worksheet. We'll divide each number by the given divisor and round to 2 decimal places where necessary.
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Divide 7584 ÷ 8:
- 8 into 7 → 0, carry down 75
- 8 into 75 → 9 (8×9=72), remainder 3
- Bring down 8 → 38
- 8 into 38 → 4 (8×4=32), remainder 6
- Bring down 4 → 64
- 8 into 64 → 8 (8×8=64), remainder 0
✔ Answer: 948.00
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Divide 8845 ÷ 9:
- 9 into 8 → 0, carry down 88
- 9 into 88 → 9 (9×9=81), remainder 7
- Bring down 4 → 74
- 9 into 74 → 8 (9×8=72), remainder 2
- Bring down 5 → 25
- 9 into 25 → 2 (9×2=18), remainder 7
So far: 982 with remainder 7 → 982 + 7/9 ≈ 982.777...
Round to 2 decimals: 982.78
✔ Answer: 982.78
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Divide 6395 ÷ 7:
- 7 into 6 → 0, carry down 63
- 7 into 63 → 9 (7×9=63), remainder 0
- Bring down 9 → 9
- 7 into 9 → 1 (7×1=7), remainder 2
- Bring down 5 → 25
- 7 into 25 → 3 (7×3=21), remainder 4
So: 913 with remainder 4 → 913 + 4/7 ≈ 913.571...
Round to 2 decimals: 913.57
✔ Answer: 913.57
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Divide 9578 ÷ 6:
- 6 into 9 → 1 (6×1=6), remainder 3
- Bring down 5 → 35
- 6 into 35 → 5 (6×5=30), remainder 5
- Bring down 7 → 57
- 6 into 57 → 9 (6×9=54), remainder 3
- Bring down 8 → 38
- 6 into 38 → 6 (6×6=36), remainder 2
So: 1596 with remainder 2 → 1596 + 2/6 = 1596.333...
Round to 2 decimals: 1596.33
✔ Answer: 1596.33
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Divide 2574 ÷ 9:
- 9 into 2 → 0, carry down 25
- 9 into 25 → 2 (9×2=18), remainder 7
- Bring down 7 → 77
- 9 into 77 → 8 (9×8=72), remainder 5
- Bring down 4 → 54
- 9 into 54 → 6 (9×6=54), remainder 0
✔ Answer: 286.00
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Divide 3635 ÷ 8:
- 8 into 3 → 0, carry down 36
- 8 into 36 → 4 (8×4=32), remainder 4
- Bring down 3 → 43
- 8 into 43 → 5 (8×5=40), remainder 3
- Bring down 5 → 35
- 8 into 35 → 4 (8×4=32), remainder 3
So: 454 with remainder 3 → 454 + 3/8 = 454.375
Round to 2 decimals: 454.38
✔ Answer: 454.38
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Divide 8824 ÷ 9:
- 9 into 8 → 0, carry down 88
- 9 into 88 → 9 (9×9=81), remainder 7
- Bring down 2 → 72
- 9 into 72 → 8 (9×8=72), remainder 0
- Bring down 4 → 4
- 9 into 4 → 0, remainder 4
So: 980 with remainder 4 → 980 + 4/9 ≈ 980.444...
Round to 2 decimals: 980.44
✔ Answer: 980.44
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Divide 4825 ÷ 7:
- 7 into 4 → 0, carry down 48
- 7 into 48 → 6 (7×6=42), remainder 6
- Bring down 2 → 62
- 7 into 62 → 8 (7×8=56), remainder 6
- Bring down 5 → 65
- 7 into 65 → 9 (7×9=63), remainder 2
So: 689 with remainder 2 → 689 + 2/7 ≈ 689.2857...
Round to 2 decimals: 689.29
✔ Answer: 689.29
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Divide 2278 ÷ 6:
- 6 into 2 → 0, carry down 22
- 6 into 22 → 3 (6×3=18), remainder 4
- Bring down 7 → 47
- 6 into 47 → 7 (6×7=42), remainder 5
- Bring down 8 → 58
- 6 into 58 → 9 (6×9=54), remainder 4
So: 379 with remainder 4 → 379 + 4/6 ≈ 379.666...
Round to 2 decimals: 379.67
✔ Answer: 379.67
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Divide 3696 ÷ 7:
- 7 into 3 → 0, carry down 36
- 7 into 36 → 5 (7×5=35), remainder 1
- Bring down 9 → 19
- 7 into 19 → 2 (7×2=14), remainder 5
- Bring down 6 → 56
- 7 into 56 → 8 (7×8=56), remainder 0
✔ Answer: 528.00
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Divide 5174 ÷ 9:
- 9 into 5 → 0, carry down 51
- 9 into 51 → 5 (9×5=45), remainder 6
- Bring down 7 → 67
- 9 into 67 → 7 (9×7=63), remainder 4
- Bring down 4 → 44
- 9 into 44 → 4 (9×4=36), remainder 8
So: 574 with remainder 8 → 574 + 8/9 ≈ 574.888...
Round to 2 decimals: 574.89
✔ Answer: 574.89
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Divide 8298 ÷ 6:
- 6 into 8 → 1 (6×1=6), remainder 2
- Bring down 2 → 22
- 6 into 22 → 3 (6×3=18), remainder 4
- Bring down 9 → 49
- 6 into 49 → 8 (6×8=48), remainder 1
- Bring down 8 → 18
- 6 into 18 → 3 (6×3=18), remainder 0
✔ Answer: 1383.00
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| Problem | Answer |
|--------|--------------|
| 1. | 948.00 |
| 2. | 982.78 |
| 3. | 913.57 |
| 4. | 1596.33 |
| 5. | 286.00 |
| 6. | 454.38 |
| 7. | 980.44 |
| 8. | 689.29 |
| 9. | 379.67 |
| 10. | 528.00 |
| 11. | 574.89 |
| 12. | 1383.00 |
---
- All divisions were done using short division method.
- Any remainders were converted to decimals and rounded to two decimal places as instructed.
- Some answers are whole numbers (e.g., 948), so we write them as 948.00 to follow rounding instruction.
Let me know if you'd like a step-by-step breakdown for any specific problem!
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1. 8)7584
Divide 7584 ÷ 8:
- 8 into 7 → 0, carry down 75
- 8 into 75 → 9 (8×9=72), remainder 3
- Bring down 8 → 38
- 8 into 38 → 4 (8×4=32), remainder 6
- Bring down 4 → 64
- 8 into 64 → 8 (8×8=64), remainder 0
✔ Answer: 948.00
---
2. 9)8845
Divide 8845 ÷ 9:
- 9 into 8 → 0, carry down 88
- 9 into 88 → 9 (9×9=81), remainder 7
- Bring down 4 → 74
- 9 into 74 → 8 (9×8=72), remainder 2
- Bring down 5 → 25
- 9 into 25 → 2 (9×2=18), remainder 7
So far: 982 with remainder 7 → 982 + 7/9 ≈ 982.777...
Round to 2 decimals: 982.78
✔ Answer: 982.78
---
3. 7)6395
Divide 6395 ÷ 7:
- 7 into 6 → 0, carry down 63
- 7 into 63 → 9 (7×9=63), remainder 0
- Bring down 9 → 9
- 7 into 9 → 1 (7×1=7), remainder 2
- Bring down 5 → 25
- 7 into 25 → 3 (7×3=21), remainder 4
So: 913 with remainder 4 → 913 + 4/7 ≈ 913.571...
Round to 2 decimals: 913.57
✔ Answer: 913.57
---
4. 6)9578
Divide 9578 ÷ 6:
- 6 into 9 → 1 (6×1=6), remainder 3
- Bring down 5 → 35
- 6 into 35 → 5 (6×5=30), remainder 5
- Bring down 7 → 57
- 6 into 57 → 9 (6×9=54), remainder 3
- Bring down 8 → 38
- 6 into 38 → 6 (6×6=36), remainder 2
So: 1596 with remainder 2 → 1596 + 2/6 = 1596.333...
Round to 2 decimals: 1596.33
✔ Answer: 1596.33
---
5. 9)2574
Divide 2574 ÷ 9:
- 9 into 2 → 0, carry down 25
- 9 into 25 → 2 (9×2=18), remainder 7
- Bring down 7 → 77
- 9 into 77 → 8 (9×8=72), remainder 5
- Bring down 4 → 54
- 9 into 54 → 6 (9×6=54), remainder 0
✔ Answer: 286.00
---
6. 8)3635
Divide 3635 ÷ 8:
- 8 into 3 → 0, carry down 36
- 8 into 36 → 4 (8×4=32), remainder 4
- Bring down 3 → 43
- 8 into 43 → 5 (8×5=40), remainder 3
- Bring down 5 → 35
- 8 into 35 → 4 (8×4=32), remainder 3
So: 454 with remainder 3 → 454 + 3/8 = 454.375
Round to 2 decimals: 454.38
✔ Answer: 454.38
---
7. 9)8824
Divide 8824 ÷ 9:
- 9 into 8 → 0, carry down 88
- 9 into 88 → 9 (9×9=81), remainder 7
- Bring down 2 → 72
- 9 into 72 → 8 (9×8=72), remainder 0
- Bring down 4 → 4
- 9 into 4 → 0, remainder 4
So: 980 with remainder 4 → 980 + 4/9 ≈ 980.444...
Round to 2 decimals: 980.44
✔ Answer: 980.44
---
8. 7)4825
Divide 4825 ÷ 7:
- 7 into 4 → 0, carry down 48
- 7 into 48 → 6 (7×6=42), remainder 6
- Bring down 2 → 62
- 7 into 62 → 8 (7×8=56), remainder 6
- Bring down 5 → 65
- 7 into 65 → 9 (7×9=63), remainder 2
So: 689 with remainder 2 → 689 + 2/7 ≈ 689.2857...
Round to 2 decimals: 689.29
✔ Answer: 689.29
---
9. 6)2278
Divide 2278 ÷ 6:
- 6 into 2 → 0, carry down 22
- 6 into 22 → 3 (6×3=18), remainder 4
- Bring down 7 → 47
- 6 into 47 → 7 (6×7=42), remainder 5
- Bring down 8 → 58
- 6 into 58 → 9 (6×9=54), remainder 4
So: 379 with remainder 4 → 379 + 4/6 ≈ 379.666...
Round to 2 decimals: 379.67
✔ Answer: 379.67
---
10. 7)3696
Divide 3696 ÷ 7:
- 7 into 3 → 0, carry down 36
- 7 into 36 → 5 (7×5=35), remainder 1
- Bring down 9 → 19
- 7 into 19 → 2 (7×2=14), remainder 5
- Bring down 6 → 56
- 7 into 56 → 8 (7×8=56), remainder 0
✔ Answer: 528.00
---
11. 9)5174
Divide 5174 ÷ 9:
- 9 into 5 → 0, carry down 51
- 9 into 51 → 5 (9×5=45), remainder 6
- Bring down 7 → 67
- 9 into 67 → 7 (9×7=63), remainder 4
- Bring down 4 → 44
- 9 into 44 → 4 (9×4=36), remainder 8
So: 574 with remainder 8 → 574 + 8/9 ≈ 574.888...
Round to 2 decimals: 574.89
✔ Answer: 574.89
---
12. 6)8298
Divide 8298 ÷ 6:
- 6 into 8 → 1 (6×1=6), remainder 2
- Bring down 2 → 22
- 6 into 22 → 3 (6×3=18), remainder 4
- Bring down 9 → 49
- 6 into 49 → 8 (6×8=48), remainder 1
- Bring down 8 → 18
- 6 into 18 → 3 (6×3=18), remainder 0
✔ Answer: 1383.00
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✔ Final Answers:
| Problem | Answer |
|--------|--------------|
| 1. | 948.00 |
| 2. | 982.78 |
| 3. | 913.57 |
| 4. | 1596.33 |
| 5. | 286.00 |
| 6. | 454.38 |
| 7. | 980.44 |
| 8. | 689.29 |
| 9. | 379.67 |
| 10. | 528.00 |
| 11. | 574.89 |
| 12. | 1383.00 |
---
📝 Notes:
- All divisions were done using short division method.
- Any remainders were converted to decimals and rounded to two decimal places as instructed.
- Some answers are whole numbers (e.g., 948), so we write them as 948.00 to follow rounding instruction.
Let me know if you'd like a step-by-step breakdown for any specific problem!
Parent Tip: Review the logic above to help your child master the concept of long division worksheets grade 6.