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Use long division to divide larger numbers
Learn step-by-step with practice exercises built right in.
Remember the order: DMSB — Dad, Mom, Sister, Brother!
Example:
Steps:
Calculate:
Solution:
&\phantom{00}21 \\ 3 &\overline{)63} \\ &\underline{-6\phantom{0}} \\ &\phantom{0}03 \\ &\phantom{0}\underline{-3} \\ &\phantom{00}0 \end{align}$$ **Answer:** 21Review key concepts with our flashcard system
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Final answer:
Check your work: Multiply your answer by the divisor: ✓
Sometimes there's a number left over — that's the remainder.
Example:
| Step | Calculation |
|---|---|
| How many 3s fit in 17? | (fits!) |
| What's left over? | |
| Answer | R |
This means: 3 goes into 17 five times with 2 left over.
Example:
Check: ✓
You can always verify your division:
There are 96 students going on a field trip. If each bus holds 8 students, how many buses are needed?
Solution:
Divide:
&\phantom{00}12 \\ 8 &\overline{)96} \\ &\underline{-8\phantom{0}} \\ &\phantom{0}16 \\ &\phantom{0}\underline{-16} \\ &\phantom{00}0 \end{align}$$ **Answer:** 12 busesCalculate:
Solution:
&\phantom{000}25 \text{ R } 2 \\ 5 &\overline{)127} \\ &\underline{-10\phantom{00}} \\ &\phantom{0}27 \\ &\phantom{0}\underline{-25} \\ &\phantom{00}2 \end{align}$$ **Answer:** 25 R 2 (or 25 remainder 2)