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

Let's solve each of these decimal division problems step by step. The goal is to find the quotient for each division problem.

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General Rule for Dividing Decimals:

To divide decimals:
1. Move the decimal point in the divisor (the number outside the division bracket) to the right until it becomes a whole number.
2. Move the decimal point in the dividend (the number inside) the same number of places to the right.
3. Now divide as usual.

We'll apply this method to each problem.

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1. 0.58 ) 0.5568

- Move decimal in 0.58 two places → 58
- Move decimal in 0.5568 two places → 55.68
- Now divide: $ 55.68 \div 58 $

$$
55.68 \div 58 = ?
$$

Let’s do long division:

```
0.96
------
58|55.68
-52.2
-----
3.48
-3.48
-----
0
```

So, 0.96

✔ Answer: 0.96

---

2. 0.2 ) 0.12

- Move decimal one place: 0.2 → 2, 0.12 → 1.2
- $ 1.2 \div 2 = 0.6 $

✔ Answer: 0.6

---

3. 0.7 ) 0.1995

- Move decimal one place: 0.7 → 7, 0.1995 → 1.995
- $ 1.995 \div 7 $

Do long division:

```
0.285
-------
7|1.995
-1.4
-----
0.59
-0.56
-----
0.035
-0.035
-------
0
```

✔ Answer: 0.285

---

4. 1.5 ) 1.2

- Move decimal one place: 1.5 → 15, 1.2 → 12
- $ 12 \div 15 = 0.8 $

✔ Answer: 0.8

---

5. 0.1 ) 0.0805

- Move decimal one place: 0.1 → 1, 0.0805 → 0.805
- $ 0.805 \div 1 = 0.805 $

✔ Answer: 0.805

---

6. 0.6 ) 1.452

- Move decimal one place: 0.6 → 6, 1.452 → 14.52
- $ 14.52 \div 6 $

```
2.42
-------
6|14.52
-12
----
2.5
-2.4
----
0.12
-0.12
------
0
```

✔ Answer: 2.42

---

7. 0.5 ) 0.05

- Move decimal one place: 0.5 → 5, 0.05 → 0.5
- $ 0.5 \div 5 = 0.1 $

✔ Answer: 0.1

---

8. 3.64 ) 28.5376

- Move decimal two places: 3.64 → 364, 28.5376 → 2853.76
- $ 2853.76 \div 364 $

Let’s divide:

First, estimate: $ 364 \times 7 = 2548 $, $ 364 \times 8 = 2912 $ → too big

Try $ 364 \times 7.8 = ? $

Better to do long division:

```
7.84
-------
364|2853.76
-2548
------
305.76
-2912? → too big
```

Wait — better to align properly:

Actually:

$ 2853.76 \div 364 $

Estimate: $ 364 \times 7 = 2548 $

Subtract: $ 2853.76 - 2548 = 305.76 $

Bring down next digit (but already have decimals), so now divide $ 305.76 \div 364 $

→ Less than 1 → add decimal and zero

So we have:

```
7.84
--------
364|2853.76
-2548
------
305.76
-2912 → too big
```

Wait — actually, after subtracting 2548 from 2853.76:

→ 305.76

Now bring down nothing — just continue with decimal.

So:

305.76 ÷ 364 → less than 1 → put decimal point after 7

Now:

305.76 → 3057.6 (multiply by 10)

Try: $ 364 \times 8 = 2912 $

Subtract: $ 3057.6 - 2912 = 145.6 $

Bring down 0 → 1456

$ 364 \times 4 = 1456 $

Perfect!

So:

- 7 (from 2853.76 ÷ 364)
- then .8 → 8 × 364 = 2912 → subtract from 3057.6 → 145.6
- then .04 → 4 × 364 = 1456 → fits exactly

So total: 7.84

✔ Answer: 7.84

---

9. 1.92 ) 1.152

- Move decimal two places: 1.92 → 192, 1.152 → 115.2
- $ 115.2 \div 192 $

Now divide:

Note: 192 > 115.2 → quotient < 1

Add decimal: 115.20 ÷ 192

Try:

$ 192 \times 0.6 = 115.2 $

Exactly!

✔ Answer: 0.6

---

10. 0.3 ) 0.24

- Move decimal one place: 0.3 → 3, 0.24 → 2.4
- $ 2.4 \div 3 = 0.8 $

✔ Answer: 0.8

---

11. 0.9 ) 0.801

- Move decimal one place: 0.9 → 9, 0.801 → 8.01
- $ 8.01 \div 9 $

Long division:

```
0.89
-------
9|8.01
-7.2
----
0.81
-0.81
------
0
```

So: $ 0.89 $

✔ Answer: 0.89

---

12. 0.59 ) 0.295

- Move decimal two places: 0.59 → 59, 0.295 → 29.5
- $ 29.5 \div 59 $

Note: $ 59 \times 0.5 = 29.5 $

✔ Answer: 0.5

---

✔ Final Answers:

1. $ 0.5568 \div 0.58 = 0.96 $
2. $ 0.12 \div 0.2 = 0.6 $
3. $ 0.1995 \div 0.7 = 0.285 $
4. $ 1.2 \div 1.5 = 0.8 $
5. $ 0.0805 \div 0.1 = 0.805 $
6. $ 1.452 \div 0.6 = 2.42 $
7. $ 0.05 \div 0.5 = 0.1 $
8. $ 28.5376 \div 3.64 = 7.84 $
9. $ 1.152 \div 1.92 = 0.6 $
10. $ 0.24 \div 0.3 = 0.8 $
11. $ 0.801 \div 0.9 = 0.89 $
12. $ 0.295 \div 0.59 = 0.5 $

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Let me know if you'd like the steps written out in long division format!