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

Division finds how many equal groups the divisor can make from the dividend.

• Dividend: the number being divided, $4{,}207$
• Divisor: the number of groups, $6$
• Quotient: the answer, or number in each group
• Remainder: what is left over

Example: $4{,}207 \div 6$

First, estimate:

$$4{,}200 \div 6 = 700$$

So, the quotient should be close to $700$.

Use place value and divide from left to right:

1. Look at $42$.
   $6$ goes into $42$ exactly $7$ times.

$$7 \times 6 = 42$$

Subtract:

$$42-42=0$$

The $7$ belongs in the hundreds place of the quotient.

2. Bring down the $0$ from the tens place.
   Since $6$ goes into $0$ zero times, record a $0$ in the quotient.

3. Bring down the $7$ from the ones place.
   $6$ goes into $7$ one time.

$$1 \times 6 = 6$$

Subtract:

$$7-6=1$$

The remainder is $1$.

Therefore,

$$4{,}207 \div 6 = 701\text{ R}1$$

Check the answer using multiplication and addition:

$$6 \times 701 + 1 = 4{,}206+1=4{,}207$$

The remainder, $1$, is less than the divisor, $6$, so the answer is reasonable.