Pre-Algebra Examples

\frac{108}{7}

$\frac{108}{7}$

Step 1

Set up the division problem in long division format.

7

$7$

1

$1$

0

$0$

8

$8$

Step 2

Divide

10

$10$ by

7

$7$ . Place this digit in the quotient on top of the division symbol.

		$1$ $1$
$7$ $7$	$1$ $1$	$0$ $0$	$8$ $8$

Step 3

Multiply the newest quotient digit

(1)

$(1)$ by the divisor

7

$7$ .

		$1$ $1$
$7$ $7$	$1$ $1$	$0$ $0$	$8$ $8$
	$-$ $-$	$7$ $7$

Step 4

Subtract

7

$7$ from

10

$10$ .

		$1$ $1$
$7$ $7$	$1$ $1$	$0$ $0$	$8$ $8$
	$-$ $-$	$7$ $7$
		$3$ $3$

Step 5

Bring down the next number of the dividend.

		$1$ $1$
$7$ $7$	$1$ $1$	$0$ $0$	$8$ $8$
	$-$ $-$	$7$ $7$
		$3$ $3$	$8$ $8$

Step 6

Divide

38

$38$ by

7

$7$ . Place this digit in the quotient on top of the division symbol.

		$1$ $1$	$5$ $5$
$7$ $7$	$1$ $1$	$0$ $0$	$8$ $8$
	$-$ $-$	$7$ $7$
		$3$ $3$	$8$ $8$

Step 7

Multiply the newest quotient digit

(5)

$(5)$ by the divisor

7

$7$ .

		$1$ $1$	$5$ $5$
$7$ $7$	$1$ $1$	$0$ $0$	$8$ $8$
	$-$ $-$	$7$ $7$
		$3$ $3$	$8$ $8$
	$-$ $-$	$3$ $3$	$5$ $5$

Step 8

Subtract

35

$35$ from

38

$38$ .

		$1$ $1$	$5$ $5$
$7$ $7$	$1$ $1$	$0$ $0$	$8$ $8$
	$-$ $-$	$7$ $7$
		$3$ $3$	$8$ $8$
	$-$ $-$	$3$ $3$	$5$ $5$
			$3$ $3$

Step 9

The result of division of

\frac{108}{7}

$\frac{108}{7}$ is

15

$15$ with a remainder of

3

$3$ .

15 \frac{3}{7}

$15 \frac{3}{7}$

\frac{108}{7}

$\frac{108}{7}$

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