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




Recent Articles

  1. How to Derive the Equation of an Ellipse Centered at the Origin

    Mar 13, 19 11:50 AM

    Learn how to derive the equation of an ellipse when the center of the ellipse is at the origin.

    Read More

New math lessons

Your email is safe with us. We will only use it to inform you about new math lessons.

            Follow me on Pinterest


Math quizzes

 Recommended

Scientific Notation Quiz

Graphing Slope Quiz

Adding and Subtracting Matrices Quiz  

Factoring Trinomials Quiz 

Solving Absolute Value Equations Quiz  

Order of Operations Quiz

Types of angles quiz


Tough algebra word problems

Tough Algebra Word Problems.

If you can solve these problems with no help, you must be a genius!

Recent Articles

  1. How to Derive the Equation of an Ellipse Centered at the Origin

    Mar 13, 19 11:50 AM

    Learn how to derive the equation of an ellipse when the center of the ellipse is at the origin.

    Read More

K-12 math tests


Everything you need to prepare for an important exam!

K-12 tests, GED math test, basic math tests, geometry tests, algebra tests. 

Real Life Math Skills

Learn about investing money, budgeting your money, paying taxes, mortgage loans, and even the math involved in playing baseball.