Algebra Examples

\frac{85}{4}

$\frac{85}{4}$

Step 1

Set up the division problem in long division format.

4

$4$

8

$8$

5

$5$

Step 2

Divide

8

$8$ by

4

$4$ . Place this digit in the quotient on top of the division symbol.

	$2$ $2$
$4$ $4$	$8$ $8$	$5$ $5$

Step 3

Multiply the newest quotient digit

(2)

$(2)$ by the divisor

4

$4$ .

	$2$ $2$
$4$ $4$	$8$ $8$	$5$ $5$
$-$ $-$	$8$ $8$

Step 4

Subtract

8

$8$ from

8

$8$ .

	$2$ $2$
$4$ $4$	$8$ $8$	$5$ $5$
$-$ $-$	$8$ $8$
	$0$ $0$

Step 5

Bring down the next number of the dividend.

	$2$ $2$
$4$ $4$	$8$ $8$	$5$ $5$
$-$ $-$	$8$ $8$
	$0$ $0$	$5$ $5$

Step 6

Divide

5

$5$ by

4

$4$ . Place this digit in the quotient on top of the division symbol.

	$2$ $2$	$1$ $1$
$4$ $4$	$8$ $8$	$5$ $5$
$-$ $-$	$8$ $8$
	$0$ $0$	$5$ $5$

Step 7

Multiply the newest quotient digit

(1)

$(1)$ by the divisor

4

$4$ .

	$2$ $2$	$1$ $1$
$4$ $4$	$8$ $8$	$5$ $5$
$-$ $-$	$8$ $8$
	$0$ $0$	$5$ $5$
$-$ $-$		$4$ $4$

Step 8

Subtract

4

$4$ from

5

$5$ .

	$2$ $2$	$1$ $1$
$4$ $4$	$8$ $8$	$5$ $5$
$-$ $-$	$8$ $8$
	$0$ $0$	$5$ $5$
$-$ $-$		$4$ $4$
		$1$ $1$

Step 9

The result of division of

\frac{85}{4}

$\frac{85}{4}$ is

21

$21$ with a remainder of

1

$1$ .

21 \frac{1}{4}

$21 \frac{1}{4}$

\frac{85}{4}

$\frac{85}{4}$

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