Division by partition-

 

 

 

 

 

 

 

 

 

 

 

 

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How to divide with partitions

When dividing larger numbers the partition method can be used to solve questions, by splitting  the divisor into two of its factors.
   Divide  252 / 12  

First you rewrite the question so you can see how you have split the divisor up. You will find it easier to split the divisor with one small factor (2 or 3 is a good place to start) and the remaining factor
   So with 252 / 12 you would split the 12 into the factors 2 x 6.

  - It is always a good idea to put brackets around the dividend and one of the factors, to stop you getting confused during the calculations-   252 / 12  would become  (252 / 2) / 6

   So your rewritten calculation should look like this.

  252 / 12 = (252 / 2) / 6

Now you are ready to complete the two parts of the calculation.

   252 / 12 = (252 / 2) / 6          
= 126 / 6   
= 21         

If you are struggling with  these numbers you can split the larger factor again so you end up with three parts to the calculation.
   So with 252 / 12 = (252 / 2) / 6

         252 / 12 = ((252 / 2) / 2) / 3)          
          = (126 / 2) / 3       
 = 63 / 3      
              = 21                        

To check your answer just multiply all the divisors and your answer together.
   Gives (2 x 2 x 3) x 21= 252

  - This is simply using multiplication as the inverse operation to check your answer-   252 / 12 = 21  is the inverse of  21 x 12

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