Long Division

Use long division to divide larger numbers

The Steps: Divide, Multiply, Subtract, Bring Down

Remember: DMSB - Dad, Mom, Sister, Brother

Example: $84 \div 4$

&\phantom{00}21 \\ 4 &\overline{)84} \\ &\underline{-8\phantom{0}} \\ &\phantom{0}04 \\ &\phantom{0}\underline{-4} \\ &\phantom{00}0 \end{align}$$ Steps: 1. **Divide:** 8 ÷ 4 = 2 2. **Multiply:** 2 × 4 = 8 3. **Subtract:** 8 - 8 = 0 4. **Bring down:** Bring down 4 5. Repeat: 4 ÷ 4 = 1 ## Remainders Sometimes there's a number left over: **Example:** $17 \div 3 = 5$ R $2$ This means: 3 goes into 17 five times (15), with 2 left over. ## Checking Your Answer Multiply your answer by the divisor: - $84 \div 4 = 21$ - Check: $21 \times 4 = 84$ ✓

Calculate: $63 \div 3$

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Solution:

&\phantom{00}21 \\ 3 &\overline{)63} \\ &\underline{-6\phantom{0}} \\ &\phantom{0}03 \\ &\phantom{0}\underline{-3} \\ &\phantom{00}0 \end{align}$$ **Answer:** 21

There are 96 students going on a field trip. If each bus holds 8 students, how many buses are needed?

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Solution:

Divide: $96 \div 8$

&\phantom{00}12 \\ 8 &\overline{)96} \\ &\underline{-8\phantom{0}} \\ &\phantom{0}16 \\ &\phantom{0}\underline{-16} \\ &\phantom{00}0 \end{align}$$ **Answer:** 12 buses

Calculate: $127 \div 5$

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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)

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