**Division of Decimals**

When dividing two decimals, it is important to find the correct location of the decimal point in the quotient. There are two cases.

*Case 1. To divide a decimal by a whole number, divide as though both numbers were whole numbers and place the decimal point in the quotient directly above the decimal point in the dividend* .

**Examples**

**Example 1**

Divide 179.2 by 56.

**Solution 1**

**Example 2**

Divide 38.27 by 43.

**Solution 2**

Sometimes it is necessary to place zeros in the quotient.

**Example 3**

Divide 0.0035 by 7.

**Solution 3**

*Case 2. When the divisor contains a decimal point, move the point to the right of the last digit in the divisor. Then move the point to the right the same number of places in the dividend. Divide and place the point in the quotient directly above the point in the dividend* .

**Examples**

**Example 4**

Divide 14.973 by 0.23.

**Solution 4**

Move the point two places to the right as shown:

Sometimes it is necessary to place zeros in the dividend.

**Example 5**

Divide 18 by 0.375.

**Solution 5**

Move the point three places to the right after annexing three zeros:

**Division of Decimals Practice Problems**

**Practice**

1. 113.4 ÷ 6

2. 24. ÷ 486 33

3. 1.15938 ÷ 0.54

4. 9.5 ÷ 4.75

5. 0.0224 ÷ 28

**Answers**

1. 18.9

2. 0.742

3. 2.147

4. 2

5. 0.0008

Practice problems for these concepts can be found at: Decimals Practice Test.

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