Dividing Decimals by Various Decimals with Various Sizes of ... - Free Printable

Let’s solve each division problem step by step. We’re dividing decimals, so we’ll move the decimal point in both the divisor and dividend to make the divisor a whole number — then divide as usual.

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Problem 1: 0.58 ) 0.5568

Move decimal 2 places right in both:
→ 58 ) 55.68

Now divide 55.68 ÷ 58.

58 goes into 556 (first three digits) 9 times → 58 × 9 = 522
Subtract: 556 - 522 = 34
Bring down 8 → 348
58 goes into 348 exactly 6 times → 58 × 6 = 348
So answer is 0.96

Wait — let’s check: 0.58 × 0.96 = ?

0.58 × 0.96 = (58/100) × (96/100) = (58×96)/10000
58×96: 58×100=5800 minus 58×4=232 → 5800-232=5568 → 5568/10000 = 0.5568 ✔

✔ Answer: 0.96

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Problem 2: 0.2 ) 0.12

Move decimal 1 place right:
→ 2 ) 1.2

1.2 ÷ 2 = 0.6

Check: 0.2 × 0.6 = 0.12 ✔

✔ Answer: 0.6

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Problem 3: 0.7 ) 0.1995

Move decimal 1 place right:
→ 7 ) 1.995

Divide 1.995 ÷ 7

7 into 19 → 2 (7×2=14), remainder 5
Bring down 9 → 59
7 into 59 → 8 (7×8=56), remainder 3
Bring down 5 → 35
7 into 35 → 5

So: 0.285

Check: 0.7 × 0.285 = ?

0.7 × 0.285 = 7/10 × 285/1000 = (7×285)/10000
7×285: 7×200=1400, 7×80=560, 7×5=35 → 1400+560=1960+35=1995 → 1995/10000 = 0.1995 ✔

✔ Answer: 0.285

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Problem 4: 1.5 ) 1.2

Move decimal 1 place right:
→ 15 ) 12.0

12.0 ÷ 15 = 0.8

Check: 1.5 × 0.8 = 1.2 ✔

✔ Answer: 0.8

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Problem 5: 0.1 ) 0.0805

Move decimal 1 place right:
→ 1 ) 0.805

0.805 ÷ 1 = 0.805

Check: 0.1 × 0.805 = 0.0805 ✔

✔ Answer: 0.805

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Problem 6: 0.6 ) 1.452

Move decimal 1 place right:
→ 6 ) 14.52

14.52 ÷ 6

6 into 14 → 2 (12), remainder 2
Bring down 5 → 25
6 into 25 → 4 (24), remainder 1
Bring down 2 → 12
6 into 12 → 2

So: 2.42

Check: 0.6 × 2.42 = ?

0.6 × 2.42 = 6/10 × 242/100 = (6×242)/1000
6×242: 6×200=1200, 6×40=240, 6×2=12 → 1200+240=1440+12=1452 → 1452/1000 = 1.452 ✔

✔ Answer: 2.42

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Problem 7: 0.5 ) 0.05

Move decimal 1 place right:
→ 5 ) 0.5

0.5 ÷ 5 = 0.1

Check: 0.5 × 0.1 = 0.05 ✔

✔ Answer: 0.1

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Problem 8: 3.64 ) 28.5376

Move decimal 2 places right:
→ 364 ) 2853.76

Now divide 2853.76 ÷ 364

Estimate: 364 × 7 = 2548
2853 - 2548 = 305
Bring down 7 → 3057
364 × 8 = 2912
3057 - 2912 = 145
Bring down 6 → 1456
364 × 4 = 1456

So: 7.84

Check: 3.64 × 7.84

First, 364 × 784 = ?

But easier: 3.64 × 7.84

Break it: 3.64 × 7 = 25.48
3.64 × 0.8 = 2.912
3.64 × 0.04 = 0.1456
Add: 25.48 + 2.912 = 28.392 + 0.1456 = 28.5376 ✔

✔ Answer: 7.84

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Problem 9: 1.92 ) 1.152

Move decimal 2 places right:
→ 192 ) 115.2

115.2 ÷ 192

Since 192 > 115.2, answer < 1 → start with 0.

Add decimal: 1152.0 ÷ 192

192 × 6 = 1152 → exactly!

So: 0.6

Check: 1.92 × 0.6 = 1.152 ✔

✔ Answer: 0.6

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Problem 10: 0.3 ) 0.24

Move decimal 1 place right:
→ 3 ) 2.4

2.4 ÷ 3 = 0.8

Check: 0.3 × 0.8 = 0.24 ✔

✔ Answer: 0.8

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Problem 11: 0.9 ) 0.801

Move decimal 1 place right:
→ 9 ) 8.01

8.01 ÷ 9

9 into 80 → 8 (72), remainder 8
Bring down 1 → 81
9 into 81 → 9

So: 0.89

Check: 0.9 × 0.89 = ?

0.9 × 0.89 = 9/10 × 89/100 = 801/1000 = 0.801 ✔

✔ Answer: 0.89

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Problem 12: 0.59 ) 0.295

Move decimal 2 places right:
→ 59 ) 29.5

29.5 ÷ 59 = 0.5

Because 59 × 0.5 = 29.5

Check: 0.59 × 0.5 = 0.295 ✔

✔ Answer: 0.5

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Final Answer:
0.96, 0.6, 0.285, 0.8, 0.805, 2.42, 0.1, 7.84, 0.6, 0.8, 0.89, 0.5