Divide using repeated subtraction 

Divide using repeated subtraction is what this lesson will teach. We will show you how to do it with two good examples.

Example #1

Divide 28 by 5

                   ____  
Write    5   ) 28

Step 1

Subtract the divisor until the remainder is less than the divisor. Record a 1 each time you subtract. In our example, the divisor is 5, so subtract 5. Note that the 1 keeps tract of the number of times you subtract 5.

                 ____  
            5   ) 28
                    -5                  1
              ________
                    23               
                    -5                  1        
             _________
                   18  
                    -5                  1
            __________
                   13  
                    -5                  1
            __________
                     8        
                    -5                  1
            __________
                     3

3 is smaller than 5, so we stop subtracting.

Step 2

Count the number of times you subtracted the divisor or 5. Above you can see that there are 5 ones.

Therefore, 5 is subtracted 5 times with 3 left. 28 ÷ 5 = 5 r3

5 r3 means 5 with remainder 3.



Example #2

Divide 380 by 62

                     ______   
Write    62   ) 380

Step 1

Subtract the divisor until the remainder is less than the divisor. Record a 1 each time you subtract. In our example, the divisor is 62, so subtract 62. Note that the 1 keep tract of the number of times you subtract 62.

                  ______  
           62   ) 380
                    -62                  1
              ________
                    318               
                    -62                  1         
             _________
                   256  
                    -62                  1
            __________
                   194  
                    -62                  1
            __________
                   132        
                    -62                  1
            __________
                     70
                    -62                  
1
            _________
                      8

8 is smaller than 62, so we stop subtracting.


Step 2

Count the number of times you subtracted the divisor or 62. Above you can see that there are 6 ones.

Therefore, 62 is subtracted 6 times with 8 left. 380 ÷ 62 = 6 r8





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