Algebra Examples

\frac{78}{7}

$\frac{78}{7}$

Step 1

Set up the division problem in long division format.

7

$7$

7

$7$

8

$8$

Step 2

Divide

7

$7$ by

7

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

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

Step 3

Multiply the newest quotient digit

(1)

$(1)$ by the divisor

7

$7$ .

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

Step 4

Subtract

7

$7$ from

7

$7$ .

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

Step 5

Bring down the next number of the dividend.

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

Step 6

Divide

8

$8$ by

7

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

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

Step 7

Multiply the newest quotient digit

(1)

$(1)$ by the divisor

7

$7$ .

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

Step 8

Subtract

7

$7$ from

8

$8$ .

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

Step 9

The result of division of

\frac{78}{7}

$\frac{78}{7}$ is

11

$11$ with a remainder of

1

$1$ .

11 \frac{1}{7}

$11 \frac{1}{7}$

\frac{78}{7}

$\frac{78}{7}$

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