Let’s solve each short division problem one by one. We’ll divide the big number (dividend) by the small number (divisor), and if there’s a remainder or decimal, we’ll round to 2 decimal places as instructed.
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1. 7584 ÷ 8
8 goes into 75 nine times (8×9=72), remainder 3.
Bring down 8 → 38.
8 goes into 38 four times (8×4=32), remainder 6.
Bring down 4 → 64.
8 goes into 64 eight times (8×8=64), no remainder.
→
948
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2. 8845 ÷ 9
9 into 88 → 9×9=81, remainder 7.
Bring down 4 → 74.
9×8=72, remainder 2.
Bring down 5 → 25.
9×2=18, remainder 7.
Add decimal: 70 ÷ 9 = 7 (9×7=63), remainder 7 → again 70… so it repeats.
So: 982.777... → rounded to 2 decimals →
982.78
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3. 6395 ÷ 7
7 into 63 → 9, exact.
Bring down 9 → 9.
7 into 9 → 1, remainder 2.
Bring down 5 → 25.
7×3=21, remainder 4.
Decimal: 40 ÷ 7 = 5 (35), rem 5 → 50 ÷ 7 = 7 (49), rem 1 → 10 ÷ 7 = 1…
So: 913.571... → rounded to 2 decimals →
913.57
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4. 9578 ÷ 6
6 into 9 → 1, rem 3.
35 ÷ 6 = 5 (30), rem 5.
57 ÷ 6 = 9 (54), rem 3.
38 ÷ 6 = 6 (36), rem 2.
Decimal: 20 ÷ 6 = 3 (18), rem 2 → repeats → 333...
So: 1596.333... → rounded →
1596.33
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5. 2574 ÷ 9
9 into 25 → 2 (18), rem 7.
77 ÷ 9 = 8 (72), rem 5.
54 ÷ 9 = 6, exact.
→
286
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6. 3635 ÷ 8
8 into 36 → 4 (32), rem 4.
43 ÷ 8 = 5 (40), rem 3.
35 ÷ 8 = 4 (32), rem 3.
Decimal: 30 ÷ 8 = 3 (24), rem 6 → 60 ÷ 8 = 7 (56), rem 4 → 40 ÷ 8 = 5 → stops? Wait:
Actually: 3635 ÷ 8 = 454.375 → rounded to 2 decimals →
454.38
Wait — let me recalculate:
8 × 454 = 3632 → remainder 3 → 3.000 ÷ 8 = 0.375 → yes → 454.375 → rounds to
454.38
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7. 8824 ÷ 9
9 into 88 → 9 (81), rem 7.
72 ÷ 9 = 8, exact.
Bring down 4 → 4.
4 ÷ 9 = 0.444...
So: 980.444... → rounded →
980.44
Wait — step-by-step:
9 into 88 → 9, rem 7 → 72 → 8 → then 4 left → so 980 with remainder 4 → 4/9 = 0.444... → yes →
980.44
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8. 4825 ÷ 7
7 into 48 → 6 (42), rem 6.
62 ÷ 7 = 8 (56), rem 6.
65 ÷ 7 = 9 (63), rem 2.
Decimal: 20 ÷ 7 = 2 (14), rem 6 → 60 ÷ 7 = 8 (56), rem 4 → 40 ÷ 7 = 5 (35), rem 5 → etc.
So: 689.2857... → rounded to 2 decimals →
689.29
Check: 7 × 689 = 4823 → remainder 2 → 2/7 ≈ 0.2857 → yes → rounds up →
689.29
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9. 2278 ÷ 6
6 into 22 → 3 (18), rem 4.
47 ÷ 6 = 7 (42), rem 5.
58 ÷ 6 = 9 (54), rem 4.
Decimal: 40 ÷ 6 = 6 (36), rem 4 → repeats → 666...
So: 379.666... → rounded →
379.67
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10. 3696 ÷ 7
7 into 36 → 5 (35), rem 1.
19 ÷ 7 = 2 (14), rem 5.
56 ÷ 7 = 8, exact.
→
528
Check: 7 × 528 = 3696 → correct.
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11. 5174 ÷ 9
9 into 51 → 5 (45), rem 6.
67 ÷ 9 = 7 (63), rem 4.
44 ÷ 9 = 4 (36), rem 8.
Decimal: 80 ÷ 9 = 8 (72), rem 8 → repeats → 888...
So: 574.888... → rounded →
574.89
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12. 8298 ÷ 6
6 into 8 → 1, rem 2.
22 ÷ 6 = 3 (18), rem 4.
49 ÷ 6 = 8 (48), rem 1.
18 ÷ 6 = 3, exact.
→
1383
Check: 6 × 1383 = 8298 → correct.
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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 math worksheet for grade 6 and 7.
