Ctrl+k

Write division equations with remainders

Represents a whole-number division situation with a one-digit divisor by writing an equation such as 17÷5=3 R 217 \div 5 = 3\text{ R }2, interpreting 3 as the number of complete groups and 2 as the ungrouped amount. The remainder must be a whole number less than the divisor, and the relationship can also be expressed as 17=5×3+217 = 5 \times 3 + 2; decimal quotients, fractional remainders, and larger multi-digit division are outside this scope.

Detailed Explanation: Write division equations with remainders

A division equation with a remainder tells how many complete groups can be made and how many are left over.

Example: 23 objects are put into groups of 4.

  1. Find how many groups of 4 can be made:
4×5=204 \times 5 = 20

So, 5 complete groups can be made.

  1. Find how many are left:
23−20=323 - 20 = 3

There are 3 left over.

  1. Write the division equation:
23÷4=5 R 323 \div 4 = 5\text{ R }3

The 55 tells the number of complete groups, and the 33 is the remainder. The remainder must be less than the divisor: 3<43<4.

You can check the equation by writing:

23=4×5+323 = 4 \times 5 + 3

Learn by doing: Write division equations with remainders

Click a topic below to practice the foundational skills you'll need, learn the steps, or master this skill

    Practice with unlimited practice problems

    Division Equation - With Remainder 2 x 1

      ?