Skill: Divide multi-digit numbers by 2-digit divisors

To divide by a two-digit divisor, use place value and divide one part of the dividend at a time.

Example: Find $(1{,}487 \div 27)$.

First, estimate:

$$1{,}500 \div 30 \approx 50$$

So the answer should be close to $(50)$.

Step 1: Divide the first group

$(27)$ does not fit into $1$ or $(14)$, so use $(148)$.

Ask: How many groups of $(27)$ fit into $(148)$?

$$27 \times 5=135$$

So write $5$ in the tens place of the quotient.

Subtract:

$$148-135=13$$

Step 2: Bring down the next digit

Bring down the $7$ to make $(137)$.

Ask: How many groups of $(27)$ fit into $(137)$?

$$27 \times 5=135$$

Write another $5$ in the ones place of the quotient.

Subtract:

$$137-135=2$$

There are no more digits to bring down, so $2$ is the remainder.

$$\boxed{1{,}487\div27=55\text{ R }2}$$

Check the answer:

$$27\times55+2=1{,}485+2=1{,}487$$

The remainder $2$ is less than the divisor $(27)$, so the answer is correct.