Dividing Decimals worksheet with problems to find quotients, featuring decimal division exercises.

Let’s solve each division problem step by step. 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 → 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 → so 5568/10000 = 0.5568 ✔

→ Answer: 0.96

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Problem 2: 0.2 ) 0.12

Move decimal 1 place → 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 → 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), rem 3
Bring down 5 → 35
7 into 35 → 5
So we have 0.285

Check: 0.7 × 0.285 = ?

0.7 × 0.285 = 7/10 × 285/1000 = (7×285)/10000
7×285: 7×200=1400, 7×85=595 → total 1995 → 1995/10000 = 0.1995 ✔

→ Answer: 0.285

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Problem 4: 1.5 ) 1.2

Move decimal 1 place → 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 → 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 → 6 ) 14.52
14.52 ÷ 6

6 into 14 → 2 (12), rem 2
Bring down 5 → 25
6 into 25 → 4 (24), rem 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 = 1452 → 1452/1000 = 1.452 ✔

→ Answer: 2.42

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Problem 7: 0.5 ) 0.05

Move decimal 1 place → 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 → 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 → perfect!

So quotient is 7.84

Check: 3.64 × 7.84

First, 364 × 784 = ?

But easier: 3.64 × 7.84 = ?

We know from above that moving decimals back: since we moved 2 places in divisor and dividend, the quotient stays same.

Actually, 3.64 × 7.84:

Let me compute:

3.64 × 7 = 25.48
3.64 × 0.8 = 2.912
3.64 × 0.04 = 0.1456
Add them: 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 → 192 ) 115.2
115.2 ÷ 192

Since 192 > 115.2, start with 0.

Add decimal: 1152.0 ÷ 192 (multiply numerator and denominator by 10)

192 × 6 = 1152 → 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 → 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 → 9 ) 8.01
8.01 ÷ 9

9 into 80 → 8 (72), rem 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 → 59 ) 29.5
29.5 ÷ 59

59 into 295 (add zero) → 59 × 5 = 295 → so 0.5

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