Dividing Decimals Worksheets - Math Monks - Free Printable

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

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🔧 Key Tip:

When dividing decimals, you can eliminate the decimal in the divisor by multiplying both the divisor and dividend by the same power of 10 (to make the divisor a whole number). Then perform long division as usual.

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✔ Problem 1: $ 5.2 \div 30.58 $

We are dividing:
$$
5.2 \overline{)30.58}
$$

But actually, it’s written as:
$$
\frac{30.58}{5.2}
$$

To eliminate the decimal in the divisor (5.2), multiply both numbers by 10:

$$
\frac{30.58 \times 10}{5.2 \times 10} = \frac{305.8}{52}
$$

Now divide $ 305.8 \div 52 $

Let’s do long division:

```
5.88
________
52|305.80
-260
----
458
-416
----
420
-364
----
56
```

So, $ 305.8 \div 52 = 5.88 $ (approximately)

✔ Answer: 5.88

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✔ Problem 2: $ 7.5 \div 145.13 $

$$
\frac{145.13}{7.5}
$$

Multiply numerator and denominator by 10:

$$
\frac{1451.3}{75}
$$

Now divide $ 1451.3 \div 75 $

Long division:

```
19.35
________
75|1451.30
-75
----
701
-675
----
263
-225
----
380
-375
----
5
```

So, $ 1451.3 \div 75 = 19.35 $ (approx.)

✔ Answer: 19.35

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✔ Problem 3: $ 68 \div 288.09 $

$$
\frac{288.09}{68}
$$

Divide directly:

```
4.236
________
68|288.09
-272
----
160
-136
----
240
-204
----
369
-340
----
29
```

So, $ 288.09 \div 68 = 4.236 $ (approx.)

✔ Answer: 4.236

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✔ Problem 4: $ 100 \div 581.30 $

$$
\frac{581.30}{100} = 5.813
$$

This is simple — dividing by 100 moves the decimal point two places left.

✔ Answer: 5.813

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✔ Problem 5: $ 3 \div 281.30 $

$$
\frac{281.30}{3}
$$

Divide:

```
93.766...
________
3|281.30
-27
----
11
- 9
----
23
-21
----
20
-18
----
20
-18
----
2
```

So, $ 281.30 \div 3 = 93.766... $ ≈ 93.77 (rounded to two decimals)

✔ Answer: 93.77

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✔ Problem 6: $ 66.8 \div 1889.37 $

$$
\frac{1889.37}{66.8}
$$

Multiply numerator and denominator by 10 to eliminate decimal:

$$
\frac{18893.7}{668}
$$

Now divide:

```
28.27
________
668|18893.7
-1336
------
5533
-5344
------
1897
-1336
------
5610
-5344
------
2660
-2004
------
656
```

So, $ 18893.7 \div 668 \approx 28.27 $

✔ Answer: 28.27

---

✔ Problem 7: $ 8.03 \div 58.34 $

$$
\frac{58.34}{8.03}
$$

Multiply both by 100:

$$
\frac{5834}{803}
$$

Now divide:

```
7.26
________
803|5834
-5621
------
2130
-1606
------
5240
-4818
------
422
```

So, $ 5834 \div 803 \approx 7.26 $

✔ Answer: 7.26

---

✔ Problem 8: $ 3.9 \div 9.204 $

$$
\frac{9.204}{3.9}
$$

Multiply both by 10:

$$
\frac{92.04}{39}
$$

Now divide:

```
2.36
________
39|92.04
-78
----
140
-117
----
234
-234
----
0
```

Perfect! So $ 92.04 \div 39 = 2.36 $

✔ Answer: 2.36

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✔ Problem 9: $ 1000 \div 2867.18 $

$$
\frac{2867.18}{1000} = 2.86718
$$

Dividing by 1000 → move decimal three places left.

✔ Answer: 2.86718

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📝 Final Answers:

| Problem | Quotient |
|--------|----------|
| 1 | 5.88 |
| 2 | 19.35 |
| 3 | 4.236 |
| 4 | 5.813 |
| 5 | 93.77 |
| 6 | 28.27 |
| 7 | 7.26 |
| 8 | 2.36 |
| 9 | 2.86718 |

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Let me know if you'd like these answers rounded differently or shown with more steps!