Skill: Divide multi-digit whole numbers by two-digit divisors

To divide by a two-digit number, use multiplication to estimate each quotient digit. After each subtraction, bring down the next digit. The remainder must always be less than the divisor.

Example:

$$4{,}386 \div 27$$

1. Look at the first two digits, $(43)$. Since $(27)$ fits into $(43)$ one time, write $1$ in the tens place of the quotient.

$$1 \times 27=27$$

Subtract:

$$43-27=16$$

2. Bring down the next digit, $8$. Now you have $(168)$.

$$168 \div 27 \approx 6$$

Since $(6 \times 27=162)$, write $6$ in the quotient.

$$168-162=6$$

3. Bring down the last digit, $6$. Now you have $(66)$.

$$66 \div 27 \approx 2$$

Since $(2 \times 27=54)$, write $2$ in the quotient.

$$66-54=12$$

So,

$$4{,}386 \div 27=162\text{ remainder }12$$

The remainder $(12)$ is less than the divisor $(27)$, so the answer is complete.

Check using multiplication:

$$27 \times 162+12=4{,}374+12=4{,}386$$

Because the check gives the original dividend, the answer is correct.