Algebra Examples

\frac{83}{3}

$\frac{83}{3}$

Step 1

Set up the division problem in long division format.

3

$3$

8

$8$

3

$3$

Step 2

Divide

8

$8$ by

3

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

	$2$ $2$
$3$ $3$	$8$ $8$	$3$ $3$

Step 3

Multiply the newest quotient digit

(2)

$(2)$ by the divisor

3

$3$ .

	$2$ $2$
$3$ $3$	$8$ $8$	$3$ $3$
$-$ $-$	$6$ $6$

Step 4

Subtract

6

$6$ from

8

$8$ .

	$2$ $2$
$3$ $3$	$8$ $8$	$3$ $3$
$-$ $-$	$6$ $6$
	$2$ $2$

Step 5

Bring down the next number of the dividend.

	$2$ $2$
$3$ $3$	$8$ $8$	$3$ $3$
$-$ $-$	$6$ $6$
	$2$ $2$	$3$ $3$

Step 6

Divide

23

$23$ by

3

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

	$2$ $2$	$7$ $7$
$3$ $3$	$8$ $8$	$3$ $3$
$-$ $-$	$6$ $6$
	$2$ $2$	$3$ $3$

Step 7

Multiply the newest quotient digit

(7)

$(7)$ by the divisor

3

$3$ .

	$2$ $2$	$7$ $7$
$3$ $3$	$8$ $8$	$3$ $3$
$-$ $-$	$6$ $6$
	$2$ $2$	$3$ $3$
$-$ $-$	$2$ $2$	$1$ $1$

Step 8

Subtract

21

$21$ from

23

$23$ .

	$2$ $2$	$7$ $7$
$3$ $3$	$8$ $8$	$3$ $3$
$-$ $-$	$6$ $6$
	$2$ $2$	$3$ $3$
$-$ $-$	$2$ $2$	$1$ $1$
		$2$ $2$

Step 9

The result of division of

\frac{83}{3}

$\frac{83}{3}$ is

27

$27$ with a remainder of

2

$2$ .

27 \frac{2}{3}

$27 \frac{2}{3}$

\frac{83}{3}

$\frac{83}{3}$

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