Grade 5 Division Worksheets | Free Printables | Math Worksheets - Free Printable
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Step-by-step solution for: Grade 5 Division Worksheets | Free Printables | Math Worksheets
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Show Answer Key & Explanations
Step-by-step solution for: Grade 5 Division Worksheets | Free Printables | Math Worksheets
Let's solve each of the short division problems on the worksheet step by step. The instruction says to round to 2 decimal places where necessary.
We'll go through each problem one by one:
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- 7 goes into 54 7 times (7 × 7 = 49), subtract: 54 - 49 = 5
- Bring down 9 → 59
- 7 goes into 59 8 times (7 × 8 = 56), subtract: 59 - 56 = 3
- Add a decimal point and a zero → 30
- 7 goes into 30 4 times (7 × 4 = 28), remainder 2
- Add another zero → 20
- 7 goes into 20 2 times (7 × 2 = 14), remainder 6
- Add another zero → 60
- 7 goes into 60 8 times (7 × 8 = 56), remainder 4
- Continue? We need only 2 decimal places.
So far:
- 7 × 78 = 546, remainder 3 → 549 ÷ 7 = 78.428...
- Round to 2 decimals: 78.43
✔ Answer: 78.43
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- 9 goes into 66 7 times (9 × 7 = 63), subtract: 66 - 63 = 3
- Bring down 4 → 34
- 9 goes into 34 3 times (9 × 3 = 27), remainder 7
- Add decimal and 0 → 70
- 9 goes into 70 7 times (9 × 7 = 63), remainder 7
- Add 0 → 70 again → repeats
So: 73.777... → round to 73.78
✔ Answer: 73.78
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- 8 goes into 9 1 time, remainder 1 → 1 × 8 = 8
- Bring down 2 → 12
- 8 goes into 12 1 time, remainder 4
- Bring down 9 → 49
- 8 goes into 49 6 times (8 × 6 = 48), remainder 1
- Add decimal and 0 → 10
- 8 goes into 10 1 time, remainder 2
- Add 0 → 20
- 8 goes into 20 2 times, remainder 4
- Add 0 → 40
- 8 goes into 40 5 times, exact
So: 116.125 → round to 116.13
✔ Answer: 116.13
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- 6 into 41 → 6 × 6 = 36, remainder 5
- Bring down 9 → 59
- 6 into 59 → 9 times (6 × 9 = 54), remainder 5
- Add decimal and 0 → 50
- 6 into 50 → 8 times (6 × 8 = 48), remainder 2
- Add 0 → 20
- 6 into 20 → 3 times (6 × 3 = 18), remainder 2
- Add 0 → 20 → repeats
So: 69.833... → round to 69.83
✔ Answer: 69.83
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- 8 into 73 → 9 times (8 × 9 = 72), remainder 1
- Bring down 7 → 17
- 8 into 17 → 2 times (8 × 2 = 16), remainder 1
- Add decimal and 0 → 10
- 8 into 10 → 1 time (8 × 1 = 8), remainder 2
- Add 0 → 20
- 8 into 20 → 2 times (8 × 2 = 16), remainder 4
- Add 0 → 40
- 8 into 40 → 5 times exactly
So: 92.125 → round to 92.13
✔ Answer: 92.13
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- 7 into 9 → 1, remainder 2
- Bring down 5 → 25
- 7 into 25 → 3 times (7 × 3 = 21), rem 4
- Bring down 8 → 48
- 7 into 48 → 6 times (7 × 6 = 42), rem 6
- Add decimal and 0 → 60
- 7 into 60 → 8 times (7 × 8 = 56), rem 4
- Add 0 → 40
- 7 into 40 → 5 times (7 × 5 = 35), rem 5
- Add 0 → 50
- 7 into 50 → 7 times (7 × 7 = 49), rem 1
- Add 0 → 10
- 7 into 10 → 1 time, rem 3 → repeating?
Wait: 958 ÷ 7 = ?
Better to compute directly:
7 × 136 = 952 → remainder 6 → 136 + 6/7 ≈ 136.857...
So: 136.857... → round to 136.86
✔ Answer: 136.86
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- 9 into 33 → 3 times (9 × 3 = 27), rem 6
- Bring down 8 → 68
- 9 into 68 → 7 times (9 × 7 = 63), rem 5
- Add decimal and 0 → 50
- 9 into 50 → 5 times (9 × 5 = 45), rem 5
- Add 0 → 50 → repeats
So: 37.555... → round to 37.56
✔ Answer: 37.56
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- 6 into 8 → 1, rem 2
- Bring down 4 → 24 → 6 × 4 = 24, rem 0
- Bring down 7 → 7
- 6 into 7 → 1, rem 1
- Add decimal and 0 → 10
- 6 into 10 → 1, rem 4
- Add 0 → 40
- 6 into 40 → 6 times (6 × 6 = 36), rem 4 → repeats
So: 141.166... → round to 141.17
✔ Answer: 141.17
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- 8 into 55 → 6 times (8 × 6 = 48), rem 7
- Bring down 7 → 77
- 8 into 77 → 9 times (8 × 9 = 72), rem 5
- Add decimal and 0 → 50
- 8 into 50 → 6 times (8 × 6 = 48), rem 2
- Add 0 → 20
- 8 into 20 → 2 times (8 × 2 = 16), rem 4
- Add 0 → 40
- 8 into 40 → 5 times exactly
So: 69.625 → round to 69.63
✔ Answer: 69.63
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- 6 into 7 → 1, rem 1
- Bring down 2 → 12 → 6 × 2 = 12, rem 0
- Bring down 9 → 9
- 6 into 9 → 1, rem 3
- Add decimal and 0 → 30
- 6 into 30 → 5 times, rem 0
So: 121.5 → already at 1 decimal → 121.50
✔ Answer: 121.50
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- 9 into 41 → 4 times (9 × 4 = 36), rem 5
- Bring down 7 → 57
- 9 into 57 → 6 times (9 × 6 = 54), rem 3
- Add decimal and 0 → 30
- 9 into 30 → 3 times (9 × 3 = 27), rem 3
- Add 0 → 30 → repeats
So: 46.333... → round to 46.33
✔ Answer: 46.33
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- 7 into 63 → 9 times (7 × 9 = 63), rem 0
- Bring down 9 → 9
- 7 into 9 → 1, rem 2
- Add decimal and 0 → 20
- 7 into 20 → 2 times (7 × 2 = 14), rem 6
- Add 0 → 60
- 7 into 60 → 8 times (7 × 8 = 56), rem 4
- Add 0 → 40
- 7 into 40 → 5 times (7 × 5 = 35), rem 5
- Add 0 → 50
- 7 into 50 → 7 times (7 × 7 = 49), rem 1
- Add 0 → 10 → continues
So: 91.2857... → round to 91.29
✔ Answer: 91.29
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1. 78.43
2. 73.78
3. 116.13
4. 69.83
5. 92.13
6. 136.86
7. 37.56
8. 141.17
9. 69.63
10. 121.50
11. 46.33
12. 91.29
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Let me know if you'd like these written in a formatted table or with steps shown!
We'll go through each problem one by one:
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1. 549 ÷ 7
- 7 goes into 54 7 times (7 × 7 = 49), subtract: 54 - 49 = 5
- Bring down 9 → 59
- 7 goes into 59 8 times (7 × 8 = 56), subtract: 59 - 56 = 3
- Add a decimal point and a zero → 30
- 7 goes into 30 4 times (7 × 4 = 28), remainder 2
- Add another zero → 20
- 7 goes into 20 2 times (7 × 2 = 14), remainder 6
- Add another zero → 60
- 7 goes into 60 8 times (7 × 8 = 56), remainder 4
- Continue? We need only 2 decimal places.
So far:
- 7 × 78 = 546, remainder 3 → 549 ÷ 7 = 78.428...
- Round to 2 decimals: 78.43
✔ Answer: 78.43
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2. 664 ÷ 9
- 9 goes into 66 7 times (9 × 7 = 63), subtract: 66 - 63 = 3
- Bring down 4 → 34
- 9 goes into 34 3 times (9 × 3 = 27), remainder 7
- Add decimal and 0 → 70
- 9 goes into 70 7 times (9 × 7 = 63), remainder 7
- Add 0 → 70 again → repeats
So: 73.777... → round to 73.78
✔ Answer: 73.78
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3. 929 ÷ 8
- 8 goes into 9 1 time, remainder 1 → 1 × 8 = 8
- Bring down 2 → 12
- 8 goes into 12 1 time, remainder 4
- Bring down 9 → 49
- 8 goes into 49 6 times (8 × 6 = 48), remainder 1
- Add decimal and 0 → 10
- 8 goes into 10 1 time, remainder 2
- Add 0 → 20
- 8 goes into 20 2 times, remainder 4
- Add 0 → 40
- 8 goes into 40 5 times, exact
So: 116.125 → round to 116.13
✔ Answer: 116.13
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4. 419 ÷ 6
- 6 into 41 → 6 × 6 = 36, remainder 5
- Bring down 9 → 59
- 6 into 59 → 9 times (6 × 9 = 54), remainder 5
- Add decimal and 0 → 50
- 6 into 50 → 8 times (6 × 8 = 48), remainder 2
- Add 0 → 20
- 6 into 20 → 3 times (6 × 3 = 18), remainder 2
- Add 0 → 20 → repeats
So: 69.833... → round to 69.83
✔ Answer: 69.83
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5. 737 ÷ 8
- 8 into 73 → 9 times (8 × 9 = 72), remainder 1
- Bring down 7 → 17
- 8 into 17 → 2 times (8 × 2 = 16), remainder 1
- Add decimal and 0 → 10
- 8 into 10 → 1 time (8 × 1 = 8), remainder 2
- Add 0 → 20
- 8 into 20 → 2 times (8 × 2 = 16), remainder 4
- Add 0 → 40
- 8 into 40 → 5 times exactly
So: 92.125 → round to 92.13
✔ Answer: 92.13
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6. 958 ÷ 7
- 7 into 9 → 1, remainder 2
- Bring down 5 → 25
- 7 into 25 → 3 times (7 × 3 = 21), rem 4
- Bring down 8 → 48
- 7 into 48 → 6 times (7 × 6 = 42), rem 6
- Add decimal and 0 → 60
- 7 into 60 → 8 times (7 × 8 = 56), rem 4
- Add 0 → 40
- 7 into 40 → 5 times (7 × 5 = 35), rem 5
- Add 0 → 50
- 7 into 50 → 7 times (7 × 7 = 49), rem 1
- Add 0 → 10
- 7 into 10 → 1 time, rem 3 → repeating?
Wait: 958 ÷ 7 = ?
Better to compute directly:
7 × 136 = 952 → remainder 6 → 136 + 6/7 ≈ 136.857...
So: 136.857... → round to 136.86
✔ Answer: 136.86
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7. 338 ÷ 9
- 9 into 33 → 3 times (9 × 3 = 27), rem 6
- Bring down 8 → 68
- 9 into 68 → 7 times (9 × 7 = 63), rem 5
- Add decimal and 0 → 50
- 9 into 50 → 5 times (9 × 5 = 45), rem 5
- Add 0 → 50 → repeats
So: 37.555... → round to 37.56
✔ Answer: 37.56
---
8. 847 ÷ 6
- 6 into 8 → 1, rem 2
- Bring down 4 → 24 → 6 × 4 = 24, rem 0
- Bring down 7 → 7
- 6 into 7 → 1, rem 1
- Add decimal and 0 → 10
- 6 into 10 → 1, rem 4
- Add 0 → 40
- 6 into 40 → 6 times (6 × 6 = 36), rem 4 → repeats
So: 141.166... → round to 141.17
✔ Answer: 141.17
---
9. 557 ÷ 8
- 8 into 55 → 6 times (8 × 6 = 48), rem 7
- Bring down 7 → 77
- 8 into 77 → 9 times (8 × 9 = 72), rem 5
- Add decimal and 0 → 50
- 8 into 50 → 6 times (8 × 6 = 48), rem 2
- Add 0 → 20
- 8 into 20 → 2 times (8 × 2 = 16), rem 4
- Add 0 → 40
- 8 into 40 → 5 times exactly
So: 69.625 → round to 69.63
✔ Answer: 69.63
---
10. 729 ÷ 6
- 6 into 7 → 1, rem 1
- Bring down 2 → 12 → 6 × 2 = 12, rem 0
- Bring down 9 → 9
- 6 into 9 → 1, rem 3
- Add decimal and 0 → 30
- 6 into 30 → 5 times, rem 0
So: 121.5 → already at 1 decimal → 121.50
✔ Answer: 121.50
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11. 417 ÷ 9
- 9 into 41 → 4 times (9 × 4 = 36), rem 5
- Bring down 7 → 57
- 9 into 57 → 6 times (9 × 6 = 54), rem 3
- Add decimal and 0 → 30
- 9 into 30 → 3 times (9 × 3 = 27), rem 3
- Add 0 → 30 → repeats
So: 46.333... → round to 46.33
✔ Answer: 46.33
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12. 639 ÷ 7
- 7 into 63 → 9 times (7 × 9 = 63), rem 0
- Bring down 9 → 9
- 7 into 9 → 1, rem 2
- Add decimal and 0 → 20
- 7 into 20 → 2 times (7 × 2 = 14), rem 6
- Add 0 → 60
- 7 into 60 → 8 times (7 × 8 = 56), rem 4
- Add 0 → 40
- 7 into 40 → 5 times (7 × 5 = 35), rem 5
- Add 0 → 50
- 7 into 50 → 7 times (7 × 7 = 49), rem 1
- Add 0 → 10 → continues
So: 91.2857... → round to 91.29
✔ Answer: 91.29
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✔ Final Answers:
1. 78.43
2. 73.78
3. 116.13
4. 69.83
5. 92.13
6. 136.86
7. 37.56
8. 141.17
9. 69.63
10. 121.50
11. 46.33
12. 91.29
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Let me know if you'd like these written in a formatted table or with steps shown!
Parent Tip: Review the logic above to help your child master the concept of 5th grade division.