Pre-Algebra Examples

\frac{64}{3}

$\frac{64}{3}$

Step 1

Set up the division problem in long division format.

3

$3$

6

$6$

4

$4$

Step 2

Divide

6

$6$ by

3

$3$ . Place this digit in the quotient on top of the division symbol.

	$2$ $2$
$3$ $3$	$6$ $6$	$4$ $4$

Step 3

Multiply the newest quotient digit

(2)

$(2)$ by the divisor

3

$3$ .

	$2$ $2$
$3$ $3$	$6$ $6$	$4$ $4$
$-$ $-$	$6$ $6$

Step 4

Subtract

6

$6$ from

6

$6$ .

	$2$ $2$
$3$ $3$	$6$ $6$	$4$ $4$
$-$ $-$	$6$ $6$
	$0$ $0$

Step 5

Bring down the next number of the dividend.

	$2$ $2$
$3$ $3$	$6$ $6$	$4$ $4$
$-$ $-$	$6$ $6$
	$0$ $0$	$4$ $4$

Step 6

Divide

4

$4$ by

3

$3$ . Place this digit in the quotient on top of the division symbol.

	$2$ $2$	$1$ $1$
$3$ $3$	$6$ $6$	$4$ $4$
$-$ $-$	$6$ $6$
	$0$ $0$	$4$ $4$

Step 7

Multiply the newest quotient digit

(1)

$(1)$ by the divisor

3

$3$ .

	$2$ $2$	$1$ $1$
$3$ $3$	$6$ $6$	$4$ $4$
$-$ $-$	$6$ $6$
	$0$ $0$	$4$ $4$
$-$ $-$		$3$ $3$

Step 8

Subtract

3

$3$ from

4

$4$ .

	$2$ $2$	$1$ $1$
$3$ $3$	$6$ $6$	$4$ $4$
$-$ $-$	$6$ $6$
	$0$ $0$	$4$ $4$
$-$ $-$		$3$ $3$
		$1$ $1$

Step 9

The result of division of

\frac{64}{3}

$\frac{64}{3}$ is

21

$21$ with a remainder of

1

$1$ .

21 \frac{1}{3}

$21 \frac{1}{3}$

\frac{64}{3}

$\frac{64}{3}$

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