Division With a Remainder - Arithmetic Step by Step

Divide 23 ÷ 4. Four goes into 23 five times (4 × 5 = 20), and 3 is left over. That leftover is the remainder — always smaller than the divisor.

remainder When a dividend does not divide evenly, the leftover after taking out as many full groups as possible is called the remainder. The remainder is always less than the divisor.

Example

Divide 23 by 4 and find the remainder. When the total will not split into equal whole groups, we take the largest whole number of full groups possible and call the leftover the remainder. The quotient counts the complete groups, and the remainder, always smaller than the divisor, is the part too small to form one more group.

highlighted = computed this step

Step 1 — Set up

Start with the division sentence.

23\div 4

Step 2 — Try multiplication

4 x 5 = 20, so try quotient 5.

4\times \hl{5}=20

Step 3 — Find remainder

Subtract: 23 - 20 = 3.

23 - 20 = \hl{3}

Step 4 — Result

Read the result: 23 ÷ 4 = 5 remainder 3.

23\div 4=5\text{ r }3