Long division practice


Divide 432 by 45   ...



                                                                           


This problem is tackled as follows ...



Step 1


Looking at the first 2 digits of 432, 45 doesn't divide into 43.
So, we write in '00' above the first two digits of 432...

    0 0    
  45 4 3 2  


Step 2


Now, we multiply the '00' by 45,
to give the number 0, and we write this in ...

    0 0    
  45 4 3 2  
  - 0  


Step 3


We then deduct this number from 43 to give 43.
We then carry the 2 down from the number we're dividing...

    0 0    
  45 4 3 2  
  - 0
    4 3 2  


Step 4


We then work out how many times 45 goes into 432.
45 goes into 432 9 times, so we write this on the top line...

  0 0 9  
  45 4 3 2  
  - 0  
    4 3 2  


Step 5


We then multiply this 9 by our divisor 45, to give 405
and we deduct this from 432 to give the remainder, which is... 27

    0 0 9  
  45 4 3 2  
  - 0  
    4 3 2  
  - 4 0 5  
    2 7