Division is most frequently used in solving competitive exams problems. By learning shortcut methods of division, you can save crucial time in the exam. Here are some shortcut methods for division.


In division, numerator is called Dividend and denominator is called Divisor.


       

 

Division using the factors of the divisor

This method is also called Double Division.


       


Here you can directly divide 75 by 15 and the answer would be 5. But, to understand this method, we are not doing like that.
Now, factories divisor.


So we can write 15 as 5 × 3.


       


Now we can divide 75 by 3 which gives us 25.
       
Now we can divide 25 by 5 and that gives 5 as answer.
So the answer is 5.

 

Division By Parts


    

Write 75 as 45 + 30


So we can write


         =

So the answer is 5.

 

Division by 10

Just move the decimal point one place to the left side.


       
So the answer is 1.256

 

Division by 5

Divide the dividend by 100 and multiply by 20.

       
So the answer is 40

 

Division by 25

Divide the dividend by 100 and multiply it by 4.

       
So the answer is 8

 

Division by 50

Divide the dividend by 100 and multiply it by 2.

       
So the answer is 4.

 

Division by 100

Just move the decimal point two places to the left side.


       
So the answer is 0.1256