Let’s solve each division problem using the
distributive property of division. That means we break the big number into smaller, easier-to-divide parts (usually by place value or friendly numbers), divide each part, then add the results.
We’ll go one by one:
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1) 518 ÷ 7
Break 518 into parts that are easy to divide by 7:
→ 490 + 28 = 518
(Why? Because 7 × 70 = 490 and 7 × 4 = 28)
Now divide:
490 ÷ 7 = 70
28 ÷ 7 = 4
Add: 70 + 4 =
74
✔ Check: 7 × 74 = 518 → Correct!
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2) 632 ÷ 8
Break 632 into parts divisible by 8:
→ 640 is too big. Try 560 + 72 = 632
(8 × 70 = 560, 8 × 9 = 72)
Divide:
560 ÷ 8 = 70
72 ÷ 8 = 9
Add: 70 + 9 =
79
✔ Check: 8 × 79 = 632 → Correct!
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3) 720 ÷ 8
This is easy — 72 ÷ 8 = 9, so 720 ÷ 8 =
90
Or break it: 720 = 640 + 80
640 ÷ 8 = 80
80 ÷ 8 = 10
80 + 10 =
90
✔ Check: 8 × 90 = 720 → Correct!
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4) 231 ÷ 3
Break 231: 210 + 21
210 ÷ 3 = 70
21 ÷ 3 = 7
70 + 7 =
77
✔ Check: 3 × 77 = 231 → Correct!
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5) 156 ÷ 4
Break 156: 120 + 36
120 ÷ 4 = 30
36 ÷ 4 = 9
30 + 9 =
39
✔ Check: 4 × 39 = 156 → Correct!
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6) 564 ÷ 6
Break 564: 540 + 24
540 ÷ 6 = 90
24 ÷ 6 = 4
90 + 4 =
94
✔ Check: 6 × 94 = 564 → Correct!
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7) 588 ÷ 7
Break 588: 560 + 28
560 ÷ 7 = 80
28 ÷ 7 = 4
80 + 4 =
84
✔ Check: 7 × 84 = 588 → Correct!
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8) 330 ÷ 5
Break 330: 300 + 30
300 ÷ 5 = 60
30 ÷ 5 = 6
60 + 6 =
66
✔ Check: 5 × 66 = 330 → Correct!
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9) 258 ÷ 6
Break 258: 240 + 18
240 ÷ 6 = 40
18 ÷ 6 = 3
40 + 3 =
43
✔ Check: 6 × 43 = 258 → Correct!
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10) 87 ÷ 3
Break 87: 60 + 27
60 ÷ 3 = 20
27 ÷ 3 = 9
20 + 9 =
29
✔ Check: 3 × 29 = 87 → Correct!
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Final Answer:
1) 74
2) 79
3) 90
4) 77
5) 39
6) 94
7) 84
8) 66
9) 43
10) 29
Parent Tip: Review the logic above to help your child master the concept of distributive property of division worksheet.
