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**Divisions of Decimals **

**1. Division of a decimal number by factors of 10**

** Rule:** On dividing a decimal number by 10 or its factors, the decimal point is shifted towards left by as many places as are zeroes followed by 1.

For example, 12.75 *÷*10 = 1.275 (decimal point is shifted towards left by 1 decimal place as there is 1 zero after 1 in 10.)

**For example,** 12480.03 *÷ *1000 = 12.48003 (decimal point is shifted towards left by 3 decimal place as there are 3 zeroes followed by 1.

Division of a decimal number by a whole number

** Step - 1: **Perform the division by considering the dividend (the decimal number to be divided) as a whole number.

**Step - 2:** The decimal would be placed in the quoteint once the whole number part of the dividend is complete. Continue the division as in case of whole numbers.

** Remark: **On dividing the decimal number of a whole number, we can place as many zeroes to the right end of the decimal point of the interval as required to make the remainder zero.

**2. Division of a decimal by a decimal:**

**Step-1: **First convert the divisor into a whole number by multiplying the dividend and divisor by suitable factor of 10.

** Step-2:** Follow the rules of divisions as discussed earlier

**Illustration 1**

The cost of 28 toys of the same kind is Rs 3462.20. Find the cost of each toy.

** Solution **

Cost of 28 toys = Rs 3462.20.

Cost of 1 toy = Rs (3462.20 *÷* 28)

**Illustration 2**

The product of two decimals is 1.5008 . If one of them is 0.56, find the other.

**Solution**

Product of given decimals = 1.5008; One decimal = 0.56.

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