Long Division

4th grade math worksheet

 

Free worksheets for elementary school

 

Explaining long division thru step by step example

The divider at this example is 3, and the divided is 822

 

       

A)

We start long division at the left digit of the divided number (8). Since 8 is bigger then the

822

 3

 

divider number (3), we look for the closest yet smaller or equal number to 8, that divide itself by 3, that number in this case is 6.

   
       
         

B)

We write 6 under the 8 digit

822

 3

                  622  
                     
                  222  

C)

Since 6 divided by 3 equals to 2, we write 2 above the 8 digit.

822

 3

                  622  
                     
                  222  

D)

Now we subtract 6 from 8, and write the results (2) under the number 6

  822

 3

                  622  
                  222  
                     
                  222  

E)

Now we move down the digit next to 8 (2) to the subtract results line, we got 22

  822

 3

                  622  
                  222  
                     
                  272  

F)

The closest smaller number to 22 that can be divided by 3 is 21, so we write 21 beneath 22. Since

  822

 3

 

21 divided by 3 is 7, we write 7 right next to the 2 above

  622  
                  222  
                  212  
                     
                  272  

G)

We subtract 21 from 22, got 1. Now download the next digit (2) just next to the 1

  822

 3

 

Now we got 12

    622  
                  222  
                  212  
                  =12  
                     
                  274  

H)

The closest number that can be divided by 3 to 12, is 12 itself. Since 12 divided by 3 is 4, We

  822

 3

  do the following: write 12 beneath 12 and subtract (0), write the result 4 right next to 7 above   622  
                  222  
                  212  
                  =12  
                  12  
                  ==  

Since there are no more digits to move down the exercise is done, the results is the number above: 274

     
 
 

print this page