Math worksheet with answers for dividing decimals, featuring problems and solutions with whole number divisors and quotients.

To solve these division problems, we need to divide the decimal numbers by other decimal numbers. When dividing decimals, it's often easier to first convert the divisor (the number you're dividing by) into a whole number. We do this by moving the decimal point in both the divisor and the dividend (the number being divided) the same number of places to the right.

Let’s go through each problem step by step:

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Problem 1: 0.58 ÷ 0.5568

Wait — actually, looking at the layout, it seems like the format is:
Divisor ) Dividend → so it’s 0.5568 ÷ 0.58, not the other way around.

Actually, let me re-read the image structure.

Looking again: The problems are written as:

```
0.58 ) 0.5568
```

This means: 0.5568 ÷ 0.58

But that doesn’t make sense because 0.5568 is smaller than 0.58? Wait — no, 0.5568 is less than 0.58? Let’s check:

0.58 = 0.5800
0.5568 < 0.5800 → so quotient would be less than 1.

But in the answer key below, they show:

Red text:
58 ) 55.68 → which gives 0.96

Ah! So they moved the decimal two places to the right in both numbers:

Original: 0.58 ) 0.5568
Multiply both by 100: → 58 ) 55.68

Now divide 55.68 by 58.

58 goes into 55.68 how many times?

Well, 58 × 0.9 = 52.2
55.68 - 52.2 = 3.48
58 × 0.06 = 3.48
So total = 0.9 + 0.06 = 0.96 ✔

Matches the red answer.

Similarly, next one:

0.2 ) 0.12

Move decimal one place: 2 ) 1.2 → 1.2 ÷ 2 = 0.6 ✔

0.7 ) 0.1995

Move decimal one place: 7 ) 1.995

7 × 0.2 = 1.4 → subtract from 1.995 → 0.595
7 × 0.08 = 0.56 → subtract → 0.035
7 × 0.005 = 0.035 → so total 0.2 + 0.08 + 0.005 = 0.285 ✔

1.5 ) 1.2

Move decimal one place: 15 ) 12 → 12 ÷ 15 = 0.8 ✔

Next row:

0.1 ) 0.0805

Move decimal one place: 1 ) 0.805 → 0.805 ✔

0.6 ) 1.452

Move decimal one place: 6 ) 14.52

6 × 2 = 12 → 14.52 - 12 = 2.52
6 × 0.4 = 2.4 → 2.52 - 2.4 = 0.12
6 × 0.02 = 0.12 → so 2 + 0.4 + 0.02 = 2.42 ✔

0.5 ) 0.05

Move decimal one place: 5 ) 0.5 → 0.1 ✔

3.64 ) 28.5376

Move decimal two places: 364 ) 2853.76

Now divide 2853.76 by 364.

Try 364 × 7 = 2548
2853.76 - 2548 = 305.76
364 × 0.8 = 291.2 → too big? Wait, better to think in terms of decimal.

Actually, 364 × 7.84 = ?

Or use long division:

364 into 2853 → 7 times (364×7=2548), remainder 305.76
Bring down nothing, add decimal → 3057.6 (tenths)

364 into 3057 → 8 times (364×8=2912), remainder 145.6
Then 1456 hundredths → 364 × 4 = 1456 → exactly.

So 7.84 ✔

Next set:

1.92 ) 1.152

Move decimal two places: 192 ) 115.2

192 × 0.6 = 115.2 → so 0.6 ✔

0.3 ) 0.24

Move decimal one place: 3 ) 2.4 → 0.8 ✔

0.9 ) 0.801

Move decimal one place: 9 ) 8.01

9 × 0.8 = 7.2 → 8.01 - 7.2 = 0.81
9 × 0.09 = 0.81 → so 0.8 + 0.09 = 0.89 ✔

0.59 ) 0.295

Move decimal two places: 59 ) 29.5

59 × 0.5 = 29.5 → so 0.5 ✔

All match the red answers provided.

Final Answer:
The quotients for all problems have been verified and match the provided answers.