Skill: Solve one-step division equations

Explanation and Free Practice Resources

The learner interprets division equations as relationships among a total, equal groups, and the number in each group, identifying an unknown quotient, dividend, or divisor in whole-number equations such as 36÷4=n36 \div 4 = n, n÷4=9n \div 4 = 9, or 36÷n=936 \div n = 9. Using the inverse relationship between multiplication and division, the learner finds and checks the unknown, including with equal-group, array, or bar-model representations; solutions are exact whole numbers, without fractions, decimals, or multi-step algebraic manipulation.

Detailed Explanation: Solve one-step division equations

Division tells about equal groups:

  • Total: the whole amount
  • Number of groups: how many equal groups
  • Amount in each group: how many in one group

Use the related multiplication fact to find the unknown.

Example

Solve:

36÷n=936 \div n = 9

Step 1: Identify what each number means.

  • 3636 is the total.
  • nn is the number of equal groups.
  • 99 is the amount in each group.

So, we need to find how many groups of 99 are in 3636.

Step 2: Use multiplication to find the unknown.

Ask:

?×9=36? \times 9 = 36

Since

4×9=364 \times 9 = 36

the unknown is 44.

Therefore,

n=4n = 4

Step 3: Check the answer.

Replace nn with 44:

36÷4=936 \div 4 = 9

This is true, so the solution is correct.

Learn by doing: Solve one-step division equations

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

Your results

Practice with unlimited practice problems

Digit Solving - Long Division (Next Step) - One Step, No Remainder - Identify Quotient


    ?

    Download/Modify Free Grade 4 'Solve one-step division equations' Worksheet

    Print this free 'Solve one-step division equations' worksheet to practice this skill away from the computer. Click 'Modify' to easily customize this worksheet to your exact needs.

    Units Teaching This Skill

    These adaptive units introduce, teach, or reinforce this skill (Solve one-step division equations) through scaffolded problems that grow in difficulty as concepts are understood.

    Explore More Grade 4 Math