Grade 6 Division Worksheets | Free Printables | Math Worksheets - Free Printable
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Step-by-step solution for: Grade 6 Division Worksheets | Free Printables | Math Worksheets
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Show Answer Key & Explanations
Step-by-step solution for: Grade 6 Division Worksheets | Free Printables | Math Worksheets
Let’s solve each short division problem step by step. Remember: we’re dividing the big number (dividend) by the small number (divisor), and if there’s a remainder or decimal, we round to 2 decimal places.
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1. 7584 ÷ 8
8 goes into 75 → 9 times (8×9=72), remainder 3
Bring down 8 → 38
8 goes into 38 → 4 times (8×4=32), remainder 6
Bring down 4 → 64
8 goes into 64 → 8 times (8×8=64), remainder 0
✔ Answer: 948
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2. 8845 ÷ 9
9 into 88 → 9 (9×9=81), rem 7
Bring down 4 → 74
9 into 74 → 8 (9×8=72), rem 2
Bring down 5 → 25
9 into 25 → 2 (9×2=18), rem 7 → add decimal point and zero → 70
9 into 70 → 7 (9×7=63), rem 7 → bring down another 0 → 70 again → repeats
So: 982.777... → Round to 2 decimals → 982.78
✔ Answer: 982.78
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3. 6395 ÷ 7
7 into 63 → 9 (7×9=63), rem 0
Bring down 9 → 9
7 into 9 → 1 (7×1=7), rem 2
Bring down 5 → 25
7 into 25 → 3 (7×3=21), rem 4 → add decimal → 40
7 into 40 → 5 (7×5=35), rem 5 → 50
7 into 50 → 7 (7×7=49), rem 1 → 10
7 into 10 → 1 (7×1=7), rem 3 → etc.
We have: 913.571... → Round to 2 decimals → 913.57
✔ Answer: 913.57
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4. 9578 ÷ 6
6 into 9 → 1 (6×1=6), rem 3
Bring down 5 → 35
6 into 35 → 5 (6×5=30), rem 5
Bring down 7 → 57
6 into 57 → 9 (6×9=54), rem 3
Bring down 8 → 38
6 into 38 → 6 (6×6=36), rem 2 → add decimal → 20
6 into 20 → 3 (6×3=18), rem 2 → 20 again → repeats
So: 1596.333... → Round to 2 decimals → 1596.33
✔ Answer: 1596.33
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5. 2574 ÷ 9
9 into 25 → 2 (9×2=18), rem 7
Bring down 7 → 77
9 into 77 → 8 (9×8=72), rem 5
Bring down 4 → 54
9 into 54 → 6 (9×6=54), rem 0
✔ Answer: 286
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6. 3635 ÷ 8
8 into 36 → 4 (8×4=32), rem 4
Bring down 3 → 43
8 into 43 → 5 (8×5=40), rem 3
Bring down 5 → 35
8 into 35 → 4 (8×4=32), rem 3 → add decimal → 30
8 into 30 → 3 (8×3=24), rem 6 → 60
8 into 60 → 7 (8×7=56), rem 4 → 40
8 into 40 → 5 → exact
So: 454.375 → Round to 2 decimals → 454.38
✔ Answer: 454.38
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7. 8824 ÷ 9
9 into 88 → 9 (9×9=81), rem 7
Bring down 2 → 72
9 into 72 → 8 (9×8=72), rem 0
Bring down 4 → 4
9 into 4 → 0, so add decimal → 40
9 into 40 → 4 (9×4=36), rem 4 → 40 again → repeats
So: 980.444... → Round to 2 decimals → 980.44
✔ Answer: 980.44
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8. 4825 ÷ 7
7 into 48 → 6 (7×6=42), rem 6
Bring down 2 → 62
7 into 62 → 8 (7×8=56), rem 6
Bring down 5 → 65
7 into 65 → 9 (7×9=63), rem 2 → add decimal → 20
7 into 20 → 2 (7×2=14), rem 6 → 60
7 into 60 → 8 (7×8=56), rem 4 → 40
7 into 40 → 5 (7×5=35), rem 5 → etc.
So: 689.285... → Round to 2 decimals → 689.29
✔ Answer: 689.29
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9. 2278 ÷ 6
6 into 22 → 3 (6×3=18), rem 4
Bring down 7 → 47
6 into 47 → 7 (6×7=42), rem 5
Bring down 8 → 58
6 into 58 → 9 (6×9=54), rem 4 → add decimal → 40
6 into 40 → 6 (6×6=36), rem 4 → repeats
So: 379.666... → Round to 2 decimals → 379.67
✔ Answer: 379.67
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10. 3696 ÷ 7
7 into 36 → 5 (7×5=35), rem 1
Bring down 9 → 19
7 into 19 → 2 (7×2=14), rem 5
Bring down 6 → 56
7 into 56 → 8 (7×8=56), rem 0
✔ Answer: 528
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11. 5174 ÷ 9
9 into 51 → 5 (9×5=45), rem 6
Bring down 7 → 67
9 into 67 → 7 (9×7=63), rem 4
Bring down 4 → 44
9 into 44 → 4 (9×4=36), rem 8 → add decimal → 80
9 into 80 → 8 (9×8=72), rem 8 → repeats
So: 574.888... → Round to 2 decimals → 574.89
✔ Answer: 574.89
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12. 8298 ÷ 6
6 into 8 → 1 (6×1=6), rem 2
Bring down 2 → 22
6 into 22 → 3 (6×3=18), rem 4
Bring down 9 → 49
6 into 49 → 8 (6×8=48), rem 1
Bring down 8 → 18
6 into 18 → 3 (6×3=18), rem 0
✔ Answer: 1383
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Final Answer:
1. 948
2. 982.78
3. 913.57
4. 1596.33
5. 286
6. 454.38
7. 980.44
8. 689.29
9. 379.67
10. 528
11. 574.89
12. 1383
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1. 7584 ÷ 8
8 goes into 75 → 9 times (8×9=72), remainder 3
Bring down 8 → 38
8 goes into 38 → 4 times (8×4=32), remainder 6
Bring down 4 → 64
8 goes into 64 → 8 times (8×8=64), remainder 0
✔ Answer: 948
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2. 8845 ÷ 9
9 into 88 → 9 (9×9=81), rem 7
Bring down 4 → 74
9 into 74 → 8 (9×8=72), rem 2
Bring down 5 → 25
9 into 25 → 2 (9×2=18), rem 7 → add decimal point and zero → 70
9 into 70 → 7 (9×7=63), rem 7 → bring down another 0 → 70 again → repeats
So: 982.777... → Round to 2 decimals → 982.78
✔ Answer: 982.78
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3. 6395 ÷ 7
7 into 63 → 9 (7×9=63), rem 0
Bring down 9 → 9
7 into 9 → 1 (7×1=7), rem 2
Bring down 5 → 25
7 into 25 → 3 (7×3=21), rem 4 → add decimal → 40
7 into 40 → 5 (7×5=35), rem 5 → 50
7 into 50 → 7 (7×7=49), rem 1 → 10
7 into 10 → 1 (7×1=7), rem 3 → etc.
We have: 913.571... → Round to 2 decimals → 913.57
✔ Answer: 913.57
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4. 9578 ÷ 6
6 into 9 → 1 (6×1=6), rem 3
Bring down 5 → 35
6 into 35 → 5 (6×5=30), rem 5
Bring down 7 → 57
6 into 57 → 9 (6×9=54), rem 3
Bring down 8 → 38
6 into 38 → 6 (6×6=36), rem 2 → add decimal → 20
6 into 20 → 3 (6×3=18), rem 2 → 20 again → repeats
So: 1596.333... → Round to 2 decimals → 1596.33
✔ Answer: 1596.33
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5. 2574 ÷ 9
9 into 25 → 2 (9×2=18), rem 7
Bring down 7 → 77
9 into 77 → 8 (9×8=72), rem 5
Bring down 4 → 54
9 into 54 → 6 (9×6=54), rem 0
✔ Answer: 286
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6. 3635 ÷ 8
8 into 36 → 4 (8×4=32), rem 4
Bring down 3 → 43
8 into 43 → 5 (8×5=40), rem 3
Bring down 5 → 35
8 into 35 → 4 (8×4=32), rem 3 → add decimal → 30
8 into 30 → 3 (8×3=24), rem 6 → 60
8 into 60 → 7 (8×7=56), rem 4 → 40
8 into 40 → 5 → exact
So: 454.375 → Round to 2 decimals → 454.38
✔ Answer: 454.38
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7. 8824 ÷ 9
9 into 88 → 9 (9×9=81), rem 7
Bring down 2 → 72
9 into 72 → 8 (9×8=72), rem 0
Bring down 4 → 4
9 into 4 → 0, so add decimal → 40
9 into 40 → 4 (9×4=36), rem 4 → 40 again → repeats
So: 980.444... → Round to 2 decimals → 980.44
✔ Answer: 980.44
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8. 4825 ÷ 7
7 into 48 → 6 (7×6=42), rem 6
Bring down 2 → 62
7 into 62 → 8 (7×8=56), rem 6
Bring down 5 → 65
7 into 65 → 9 (7×9=63), rem 2 → add decimal → 20
7 into 20 → 2 (7×2=14), rem 6 → 60
7 into 60 → 8 (7×8=56), rem 4 → 40
7 into 40 → 5 (7×5=35), rem 5 → etc.
So: 689.285... → Round to 2 decimals → 689.29
✔ Answer: 689.29
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9. 2278 ÷ 6
6 into 22 → 3 (6×3=18), rem 4
Bring down 7 → 47
6 into 47 → 7 (6×7=42), rem 5
Bring down 8 → 58
6 into 58 → 9 (6×9=54), rem 4 → add decimal → 40
6 into 40 → 6 (6×6=36), rem 4 → repeats
So: 379.666... → Round to 2 decimals → 379.67
✔ Answer: 379.67
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10. 3696 ÷ 7
7 into 36 → 5 (7×5=35), rem 1
Bring down 9 → 19
7 into 19 → 2 (7×2=14), rem 5
Bring down 6 → 56
7 into 56 → 8 (7×8=56), rem 0
✔ Answer: 528
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11. 5174 ÷ 9
9 into 51 → 5 (9×5=45), rem 6
Bring down 7 → 67
9 into 67 → 7 (9×7=63), rem 4
Bring down 4 → 44
9 into 44 → 4 (9×4=36), rem 8 → add decimal → 80
9 into 80 → 8 (9×8=72), rem 8 → repeats
So: 574.888... → Round to 2 decimals → 574.89
✔ Answer: 574.89
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12. 8298 ÷ 6
6 into 8 → 1 (6×1=6), rem 2
Bring down 2 → 22
6 into 22 → 3 (6×3=18), rem 4
Bring down 9 → 49
6 into 49 → 8 (6×8=48), rem 1
Bring down 8 → 18
6 into 18 → 3 (6×3=18), rem 0
✔ Answer: 1383
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Final Answer:
1. 948
2. 982.78
3. 913.57
4. 1596.33
5. 286
6. 454.38
7. 980.44
8. 689.29
9. 379.67
10. 528
11. 574.89
12. 1383
Parent Tip: Review the logic above to help your child master the concept of 5 grade math division worksheet.