I’ll solve each division problem step by step, checking my work carefully.
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Problem 1: 406 ÷ 29
How many times does 29 go into 40? → 1 time (29 × 1 = 29)
Subtract: 40 - 29 = 11
Bring down 6 → 116
How many times does 29 go into 116? → 4 times (29 × 4 = 116)
Subtract: 116 - 116 = 0
✔ Quotient =
14
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Problem 2: 560 ÷ 40
40 goes into 56 once → 40 × 1 = 40
Subtract: 56 - 40 = 16
Bring down 0 → 160
40 goes into 160 four times → 40 × 4 = 160
Subtract: 0
✔ Quotient =
14
*(Note: You can also simplify 560 ÷ 40 = 56 ÷ 4 = 14)*
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Problem 3: 602 ÷ 43
43 into 60 → 1 time (43 × 1 = 43)
60 - 43 = 17
Bring down 2 → 172
43 × 4 = 172 → perfect!
✔ Quotient =
14
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Problem 4: 690 ÷ 46
46 into 69 → 1 time (46 × 1 = 46)
69 - 46 = 23
Bring down 0 → 230
46 × 5 = 230 → yes!
✔ Quotient =
15
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Problem 5: 672 ÷ 42
42 into 67 → 1 time (42 × 1 = 42)
67 - 42 = 25
Bring down 2 → 252
42 × 6 = 252 → correct!
✔ Quotient =
16
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Problem 6: 480 ÷ 80
80 × 6 = 480 → easy!
✔ Quotient =
6
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Problem 7: 945 ÷ 45
45 into 94 → 2 times (45 × 2 = 90)
94 - 90 = 4
Bring down 5 → 45
45 × 1 = 45
✔ Quotient =
21
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Problem 8: 584 ÷ 73
73 × 8 = 584 → let’s check: 70×8=560, 3×8=24 → 560+24=584
✔ Quotient =
8
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Problem 9: 260 ÷ 65
65 × 4 = 260 → yes
✔ Quotient =
4
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Problem 10: 264 ÷ 44
44 × 6 = 264 → 40×6=240, 4×6=24 → 240+24=264
✔ Quotient =
6
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Problem 11: 390 ÷ 65
65 × 6 = 390 → 60×6=360, 5×6=30 → 360+30=390
✔ Quotient =
6
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Problem 12: 410 ÷ 82
82 × 5 = 410 → 80×5=400, 2×5=10 → 400+10=410
✔ Quotient =
5
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Problem 13: 408 ÷ 12
12 × 34 = ? Let’s do long division:
12 into 40 → 3 times (12×3=36), remainder 4
Bring down 8 → 48
12 × 4 = 48
✔ Quotient =
34
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Problem 14: 104 ÷ 26
26 × 4 = 104 → yes
✔ Quotient =
4
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Problem 15: 285 ÷ 57
57 × 5 = 285 → 50×5=250, 7×5=35 → 250+35=285
✔ Quotient =
5
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Problem 16: 864 ÷ 96
96 × 9 = 864 → 100×9=900 minus 4×9=36 → 900-36=864
✔ Quotient =
9
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Problem 17: 225 ÷ 75
75 × 3 = 225 → obvious
✔ Quotient =
3
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Problem 18: 696 ÷ 87
87 × 8 = 696 → 80×8=640, 7×8=56 → 640+56=696
✔ Quotient =
8
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Problem 19: 450 ÷ 18
18 × 25 = 450 → because 18×20=360, 18×5=90 → 360+90=450
✔ Quotient =
25
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Problem 20: 414 ÷ 69
69 × 6 = 414 → 70×6=420 minus 1×6=6 → 420-6=414
✔ Quotient =
6
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Problem 21: 85 ÷ 85
Any number divided by itself is 1
✔ Quotient =
1
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All problems solved and verified.
Final Answer:
1. 14
2. 14
3. 14
4. 15
5. 16
6. 6
7. 21
8. 8
9. 4
10. 6
11. 6
12. 5
13. 34
14. 4
15. 5
16. 9
17. 3
18. 8
19. 25
20. 6
21. 1
Parent Tip: Review the logic above to help your child master the concept of division worksheet high school.
