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 short division problem one by one. We’ll divide the number inside the bracket (the dividend) by the number outside (the divisor). If there’s a remainder, we’ll keep dividing to get decimal places — and round to 2 decimal places if needed.
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1. 549 ÷ 7
7 × 78 = 546 → remainder 3
Bring down 0 → 30
7 × 4 = 28 → remainder 2
Bring down 0 → 20
7 × 2 = 14 → remainder 6
So: 78.428... → Round to 2 decimals → 78.43
Wait — let me double-check:
549 ÷ 7:
7 into 54 is 7 (7×7=49), subtract → 5
Bring down 9 → 59
7 into 59 is 8 (7×8=56), subtract → 3
Add decimal point, bring down 0 → 30
7 into 30 is 4 (7×4=28), subtract → 2
Bring down 0 → 20
7 into 20 is 2 (7×2=14), subtract → 6
Bring down 0 → 60
7 into 60 is 8 (7×8=56), subtract → 4 → so it’s 78.428... → rounds to 78.43
✔ Correct.
---
2. 664 ÷ 9
9 × 73 = 657 → remainder 7
Bring down 0 → 70
9 × 7 = 63 → remainder 7
Bring down 0 → 70 again → repeats
So: 73.777... → Round to 2 decimals → 73.78
Check:
9 into 66 is 7 (9×7=63), subtract → 3
Bring down 4 → 34
9 into 34 is 3 (9×3=27), subtract → 7
Decimal: bring down 0 → 70
9 into 70 is 7 (9×7=63), subtract → 7
Again → 70 → 7 → so 73.777... → rounds to 73.78
✔ Correct.
---
3. 929 ÷ 8
8 × 116 = 928 → remainder 1
Bring down 0 → 10
8 × 1 = 8 → remainder 2
Bring down 0 → 20
8 × 2 = 16 → remainder 4
So: 116.125 → Round to 2 decimals → 116.13
Check:
8 into 9 is 1 → 8, subtract → 1
Bring down 2 → 12
8 into 12 is 1 → 8, subtract → 4
Bring down 9 → 49
8 into 49 is 6 → 48, subtract → 1
Decimal: bring down 0 → 10
8 into 10 is 1 → 8, subtract → 2
Bring down 0 → 20
8 into 20 is 2 → 16, subtract → 4 → so 116.125 → rounds to 116.13
✔ Correct.
---
4. 419 ÷ 6
6 × 69 = 414 → remainder 5
Bring down 0 → 50
6 × 8 = 48 → remainder 2
Bring down 0 → 20
6 × 3 = 18 → remainder 2 → repeating
So: 69.833... → Round to 2 decimals → 69.83
Check:
6 into 41 is 6 (6×6=36), subtract → 5
Bring down 9 → 59
6 into 59 is 9 (6×9=54), subtract → 5
Decimal: bring down 0 → 50
6 into 50 is 8 (6×8=48), subtract → 2
Bring down 0 → 20
6 into 20 is 3 (6×3=18), subtract → 2 → so 69.833... → rounds to 69.83
✔ Correct.
---
5. 737 ÷ 8
8 × 92 = 736 → remainder 1
Bring down 0 → 10
8 × 1 = 8 → remainder 2
Bring down 0 → 20
8 × 2 = 16 → remainder 4
So: 92.125 → Round to 2 decimals → 92.13
Check:
8 into 73 is 9 (8×9=72), subtract → 1
Bring down 7 → 17
8 into 17 is 2 (8×2=16), subtract → 1
Decimal: bring down 0 → 10
8 into 10 is 1 → 8, subtract → 2
Bring down 0 → 20
8 into 20 is 2 → 16, subtract → 4 → so 92.125 → rounds to 92.13
✔ Correct.
---
6. 958 ÷ 7
7 × 136 = 952 → remainder 6
Bring down 0 → 60
7 × 8 = 56 → remainder 4
Bring down 0 → 40
7 × 5 = 35 → remainder 5
So: 136.857... → Round to 2 decimals → 136.86
Check:
7 into 9 is 1 → 7, subtract → 2
Bring down 5 → 25
7 into 25 is 3 → 21, subtract → 4
Bring down 8 → 48
7 into 48 is 6 → 42, subtract → 6
Decimal: bring down 0 → 60
7 into 60 is 8 → 56, subtract → 4
Bring down 0 → 40
7 into 40 is 5 → 35, subtract → 5 → so 136.857... → rounds to 136.86
✔ Correct.
---
7. 338 ÷ 9
9 × 37 = 333 → remainder 5
Bring down 0 → 50
9 × 5 = 45 → remainder 5 → repeating
So: 37.555... → Round to 2 decimals → 37.56
Check:
9 into 33 is 3 → 27, subtract → 6
Bring down 8 → 68
9 into 68 is 7 → 63, subtract → 5
Decimal: bring down 0 → 50
9 into 50 is 5 → 45, subtract → 5 → repeats → 37.555... → rounds to 37.56
✔ Correct.
---
8. 847 ÷ 6
6 × 141 = 846 → remainder 1
Bring down 0 → 10
6 × 1 = 6 → remainder 4
Bring down 0 → 40
6 × 6 = 36 → remainder 4 → repeating? Wait:
Actually:
6 into 8 is 1 → 6, subtract → 2
Bring down 4 → 24
6 into 24 is 4 → 24, subtract → 0
Bring down 7 → 7
6 into 7 is 1 → 6, subtract → 1
Decimal: bring down 0 → 10
6 into 10 is 1 → 6, subtract → 4
Bring down 0 → 40
6 into 40 is 6 → 36, subtract → 4 → so 141.166... → Round to 2 decimals → 141.17
Wait — 141.166... rounds to 141.17? Yes, because third decimal is 6 ≥ 5.
✔ Correct.
---
9. 557 ÷ 8
8 × 69 = 552 → remainder 5
Bring down 0 → 50
8 × 6 = 48 → remainder 2
Bring down 0 → 20
8 × 2 = 16 → remainder 4
So: 69.625 → Round to 2 decimals → 69.63
Check:
8 into 55 is 6 → 48, subtract → 7
Bring down 7 → 77
8 into 77 is 9 → 72, subtract → 5
Decimal: bring down 0 → 50
8 into 50 is 6 → 48, subtract → 2
Bring down 0 → 20
8 into 20 is 2 → 16, subtract → 4 → so 69.625 → rounds to 69.63
✔ Correct.
---
10. 729 ÷ 6
6 × 121 = 726 → remainder 3
Bring down 0 → 30
6 × 5 = 30 → remainder 0
So: 121.5 → which is 121.50 when rounded to 2 decimals → 121.50
Check:
6 into 7 is 1 → 6, subtract → 1
Bring down 2 → 12
6 into 12 is 2 → 12, subtract → 0
Bring down 9 → 9
6 into 9 is 1 → 6, subtract → 3
Decimal: bring down 0 → 30
6 into 30 is 5 → 30, subtract → 0 → so 121.5 → written as 121.50
✔ Correct.
---
11. 417 ÷ 9
9 × 46 = 414 → remainder 3
Bring down 0 → 30
9 × 3 = 27 → remainder 3 → repeating
So: 46.333... → Round to 2 decimals → 46.33
Check:
9 into 41 is 4 → 36, subtract → 5
Bring down 7 → 57
9 into 57 is 6 → 54, subtract → 3
Decimal: bring down 0 → 30
9 into 30 is 3 → 27, subtract → 3 → repeats → 46.333... → rounds to 46.33
✔ Correct.
---
12. 639 ÷ 7
7 × 91 = 637 → remainder 2
Bring down 0 → 20
7 × 2 = 14 → remainder 6
Bring down 0 → 60
7 × 8 = 56 → remainder 4
So: 91.285... → Round to 2 decimals → 91.29
Check:
7 into 63 is 9 → 63, subtract → 0
Bring down 9 → 9
7 into 9 is 1 → 7, subtract → 2
Decimal: bring down 0 → 20
7 into 20 is 2 → 14, subtract → 6
Bring down 0 → 60
7 into 60 is 8 → 56, subtract → 4 → so 91.285... → rounds to 91.29
✔ Correct.
---
Final Answer:
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
---
1. 549 ÷ 7
7 × 78 = 546 → remainder 3
Bring down 0 → 30
7 × 4 = 28 → remainder 2
Bring down 0 → 20
7 × 2 = 14 → remainder 6
So: 78.428... → Round to 2 decimals → 78.43
Wait — let me double-check:
549 ÷ 7:
7 into 54 is 7 (7×7=49), subtract → 5
Bring down 9 → 59
7 into 59 is 8 (7×8=56), subtract → 3
Add decimal point, bring down 0 → 30
7 into 30 is 4 (7×4=28), subtract → 2
Bring down 0 → 20
7 into 20 is 2 (7×2=14), subtract → 6
Bring down 0 → 60
7 into 60 is 8 (7×8=56), subtract → 4 → so it’s 78.428... → rounds to 78.43
✔ Correct.
---
2. 664 ÷ 9
9 × 73 = 657 → remainder 7
Bring down 0 → 70
9 × 7 = 63 → remainder 7
Bring down 0 → 70 again → repeats
So: 73.777... → Round to 2 decimals → 73.78
Check:
9 into 66 is 7 (9×7=63), subtract → 3
Bring down 4 → 34
9 into 34 is 3 (9×3=27), subtract → 7
Decimal: bring down 0 → 70
9 into 70 is 7 (9×7=63), subtract → 7
Again → 70 → 7 → so 73.777... → rounds to 73.78
✔ Correct.
---
3. 929 ÷ 8
8 × 116 = 928 → remainder 1
Bring down 0 → 10
8 × 1 = 8 → remainder 2
Bring down 0 → 20
8 × 2 = 16 → remainder 4
So: 116.125 → Round to 2 decimals → 116.13
Check:
8 into 9 is 1 → 8, subtract → 1
Bring down 2 → 12
8 into 12 is 1 → 8, subtract → 4
Bring down 9 → 49
8 into 49 is 6 → 48, subtract → 1
Decimal: bring down 0 → 10
8 into 10 is 1 → 8, subtract → 2
Bring down 0 → 20
8 into 20 is 2 → 16, subtract → 4 → so 116.125 → rounds to 116.13
✔ Correct.
---
4. 419 ÷ 6
6 × 69 = 414 → remainder 5
Bring down 0 → 50
6 × 8 = 48 → remainder 2
Bring down 0 → 20
6 × 3 = 18 → remainder 2 → repeating
So: 69.833... → Round to 2 decimals → 69.83
Check:
6 into 41 is 6 (6×6=36), subtract → 5
Bring down 9 → 59
6 into 59 is 9 (6×9=54), subtract → 5
Decimal: bring down 0 → 50
6 into 50 is 8 (6×8=48), subtract → 2
Bring down 0 → 20
6 into 20 is 3 (6×3=18), subtract → 2 → so 69.833... → rounds to 69.83
✔ Correct.
---
5. 737 ÷ 8
8 × 92 = 736 → remainder 1
Bring down 0 → 10
8 × 1 = 8 → remainder 2
Bring down 0 → 20
8 × 2 = 16 → remainder 4
So: 92.125 → Round to 2 decimals → 92.13
Check:
8 into 73 is 9 (8×9=72), subtract → 1
Bring down 7 → 17
8 into 17 is 2 (8×2=16), subtract → 1
Decimal: bring down 0 → 10
8 into 10 is 1 → 8, subtract → 2
Bring down 0 → 20
8 into 20 is 2 → 16, subtract → 4 → so 92.125 → rounds to 92.13
✔ Correct.
---
6. 958 ÷ 7
7 × 136 = 952 → remainder 6
Bring down 0 → 60
7 × 8 = 56 → remainder 4
Bring down 0 → 40
7 × 5 = 35 → remainder 5
So: 136.857... → Round to 2 decimals → 136.86
Check:
7 into 9 is 1 → 7, subtract → 2
Bring down 5 → 25
7 into 25 is 3 → 21, subtract → 4
Bring down 8 → 48
7 into 48 is 6 → 42, subtract → 6
Decimal: bring down 0 → 60
7 into 60 is 8 → 56, subtract → 4
Bring down 0 → 40
7 into 40 is 5 → 35, subtract → 5 → so 136.857... → rounds to 136.86
✔ Correct.
---
7. 338 ÷ 9
9 × 37 = 333 → remainder 5
Bring down 0 → 50
9 × 5 = 45 → remainder 5 → repeating
So: 37.555... → Round to 2 decimals → 37.56
Check:
9 into 33 is 3 → 27, subtract → 6
Bring down 8 → 68
9 into 68 is 7 → 63, subtract → 5
Decimal: bring down 0 → 50
9 into 50 is 5 → 45, subtract → 5 → repeats → 37.555... → rounds to 37.56
✔ Correct.
---
8. 847 ÷ 6
6 × 141 = 846 → remainder 1
Bring down 0 → 10
6 × 1 = 6 → remainder 4
Bring down 0 → 40
6 × 6 = 36 → remainder 4 → repeating? Wait:
Actually:
6 into 8 is 1 → 6, subtract → 2
Bring down 4 → 24
6 into 24 is 4 → 24, subtract → 0
Bring down 7 → 7
6 into 7 is 1 → 6, subtract → 1
Decimal: bring down 0 → 10
6 into 10 is 1 → 6, subtract → 4
Bring down 0 → 40
6 into 40 is 6 → 36, subtract → 4 → so 141.166... → Round to 2 decimals → 141.17
Wait — 141.166... rounds to 141.17? Yes, because third decimal is 6 ≥ 5.
✔ Correct.
---
9. 557 ÷ 8
8 × 69 = 552 → remainder 5
Bring down 0 → 50
8 × 6 = 48 → remainder 2
Bring down 0 → 20
8 × 2 = 16 → remainder 4
So: 69.625 → Round to 2 decimals → 69.63
Check:
8 into 55 is 6 → 48, subtract → 7
Bring down 7 → 77
8 into 77 is 9 → 72, subtract → 5
Decimal: bring down 0 → 50
8 into 50 is 6 → 48, subtract → 2
Bring down 0 → 20
8 into 20 is 2 → 16, subtract → 4 → so 69.625 → rounds to 69.63
✔ Correct.
---
10. 729 ÷ 6
6 × 121 = 726 → remainder 3
Bring down 0 → 30
6 × 5 = 30 → remainder 0
So: 121.5 → which is 121.50 when rounded to 2 decimals → 121.50
Check:
6 into 7 is 1 → 6, subtract → 1
Bring down 2 → 12
6 into 12 is 2 → 12, subtract → 0
Bring down 9 → 9
6 into 9 is 1 → 6, subtract → 3
Decimal: bring down 0 → 30
6 into 30 is 5 → 30, subtract → 0 → so 121.5 → written as 121.50
✔ Correct.
---
11. 417 ÷ 9
9 × 46 = 414 → remainder 3
Bring down 0 → 30
9 × 3 = 27 → remainder 3 → repeating
So: 46.333... → Round to 2 decimals → 46.33
Check:
9 into 41 is 4 → 36, subtract → 5
Bring down 7 → 57
9 into 57 is 6 → 54, subtract → 3
Decimal: bring down 0 → 30
9 into 30 is 3 → 27, subtract → 3 → repeats → 46.333... → rounds to 46.33
✔ Correct.
---
12. 639 ÷ 7
7 × 91 = 637 → remainder 2
Bring down 0 → 20
7 × 2 = 14 → remainder 6
Bring down 0 → 60
7 × 8 = 56 → remainder 4
So: 91.285... → Round to 2 decimals → 91.29
Check:
7 into 63 is 9 → 63, subtract → 0
Bring down 9 → 9
7 into 9 is 1 → 7, subtract → 2
Decimal: bring down 0 → 20
7 into 20 is 2 → 14, subtract → 6
Bring down 0 → 60
7 into 60 is 8 → 56, subtract → 4 → so 91.285... → rounds to 91.29
✔ Correct.
---
Final Answer:
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
Parent Tip: Review the logic above to help your child master the concept of division problems for 5th grade worksheet.