Skill: Use partial quotients

To divide using partial quotients, break the dividend into convenient multiples of the divisor. Subtract each multiple, and add the matching quotient parts.

Example: Find $(874 \div 23)$.

1. Choose a convenient multiple of $(23)$.
   Since $(20 \times 23=460)$, subtract $(460)$ from $(874)$:

$$874-460=414$$

Record the partial quotient $(20)$.

2. Subtract another convenient multiple.
   Since $(10 \times 23=230)$:

$$414-230=184$$

Record the partial quotient $(10)$.

3. Use the remaining amount.
   Since $(8 \times 23=184)$:

$$184-184=0$$

Record the partial quotient $8$.

4. Add the partial quotients:

$$20+10+8=38$$

Therefore,

$$874\div 23=38.$$

Check the answer:

$$23\times 38=874,$$

so

$$874=23\times 38+0.$$

The remainder is $0$, which is smaller than $(23)$, so the answer is correct.