Division of decimals: In our day-to-day life, we come across many situations where we need to know the division-of-decimals. For example, if we have purchased so many things in dollars and cents (rupees and paise) and we have to cost of one thing then we have to do the division.

**Division of a decimal by 10,100, 1000 etc. **

**Rule 1 : ** On dividing a decimal by 10, the decimal point is shifted to the left by one place.

**Rule 2 : ** On dividing a decimal by 100, the decimal point is shifted to the left by two places.

**Rule 3 : ** On dividing a decimal by 1000, the decimal is shifted to the left by three places, and so on.

** Division of a decimal by a whole number **

In order to divide a decimal by a whole number, we follow the following steps :

**Step 1: ** Check the whole number part of the dividend.

**Step 2 : ** If the whole number part of the dividend is less than the divisor, then place a 0 in the ones place in the quotient. Otherwise, go to step 3.

**Step 3 :** Divide the whole number part of the dividend.

**Step 4 :** Place the decimal point to the right of ones place in the quotient obtained in **step 1.**

**Step 5 : ** Divide the decimal part of the dividend by the divisor. If the digits of the dividend are exhausted, then place zeros to the right of dividend and remainder each time and continue the process.

**Examples : **

**Dividing a decimal by a decimal **

**Step 1:** Multiply the divisor (bottom number) by 10(1 digit),100(2 digits),or 1000(3 digits) and so on according to the number of digits.

**Step 2 : ** Whatever number you have multiply at the bottom with that same number multiply the dividend (top number).

**Step 3 :** Follow the same method as explained above.(shown in above diagram).

** Example :**

** Decimals **

• Expansion of decimals

• Comparison of decimals

• Addition of Decimals

• Subtraction of Decimals

• Multiplication of Decimals

• Division of Decimals

• Conversion of decimals to fraction

From division of decimals to Introduction of decimals

Number System

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In order to divide a decimal by a whole number, we follow the following steps :

93.45 93.45 x 10 934.5 93.45 ÷ 1.5 = ---------- = -------------= ------------- 1.5 1.5 x 10 15 |

• Expansion of decimals

• Comparison of decimals

• Addition of Decimals

• Subtraction of Decimals

• Multiplication of Decimals

• Division of Decimals

• Conversion of decimals to fraction

Number System

Home Page