Use counters to find the quotient and remainder

This lesson will show how to use counters to find the quotient and remainder. However, it is possible that you are not familiar with the meaning of the word counter.

What is a counter then? A counter is mostly used in elementary school. It could be a stone, a coin, or a chip. For example, to represent the number 7, students could be asked to show seven stones or seven chips.

Now let us see how we can find the quotient and the remainder using counters.

Example #1

27 divided by 4

Use 27 counters to represent the dividend 27 as shown below.


Now since you are dividing by 4, you will need to draw 4 big circles having the same amount of counters in each circle.

However, as you do this, you need to make sure that the number of counters left is less than 4.

27 divided by 4


Notice that if you had put 5 counters in each circle, it would not be correct since there will be 7 counters left and 7 is bigger than 4.

There are 6 counters in each circle, so the quotient is 6.
There are 3 counters left over, so the remainder is 3

Example #2

30 divided by 8

Use 30 counters to represent the dividend 30 as shown below.


Again, since you are dividing by 8, you will need to draw 8 big circles having the same amount of counters in each circle.

However, as you do this, you need to make sure that the number of counters left is less than 8.

30 divided by 8


There are 3 counters in each circle, so the quotient is 3. There are 6 counters left over, so the remainder is 6.




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.