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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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