Long Division with Decimals

       
           

Basically division means equal distribution of given number in equal parts. Now for the Whole Numbers, we can do the division by the process of repeated subtraction. But it is not easy in case we have the divisor in the form of the fraction. Let us learn Long Division with decimals.
Let us take the first situation, when we have the divisor as a whole number and the dividend as the decimal number. In this situation, we will first consider the dividend as the ordinary whole number without the decimal and perform the division and then place the decimal point exactly at the place where the decimal appears. So if we have the question as 9.3 divided by 3, then we will first divide the number 93 by 3 and get 31 and then we place the decimal point after getting the quotient of dividing 9 by 3. Thus we get the result as 3.1 which is the quotient.
There exist another way to divide a decimal number by a whole number. For this we will first remove the decimal point from the dividend and place the equal number of zeroes with the divisor, which indicates the number of digits after decimal. Now both dividend and divisor becomes the whole number and thus division is performed.
Taking the same example again, we get:
9.3 divided by 3 can be written as 93 divided by 30 and we get the quotient.

In case both the divisor and the dividend has a decimal point, then number of decimals places in the divisor and the dividend are checked and thus we will check if the number of decimals is same in both cases, then decimal point cancels out from the divisor and dividend, else it shifts from left to right place based on the location.

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