Pre-Algebra Examples

$\frac{2201.5}{4}$

Step 1

Multiply the numerator and denominator by $10$ .

$\frac{22015}{40}$

Step 2

Reduce the expression $\frac{22015}{40}$ by cancelling the common factors.

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Step 2.1

Factor $5$ out of $22015$ .

$\frac{5 (4403)}{40}$

Step 2.2

Factor $5$ out of $40$ .

$\frac{5 \cdot 4403}{5 \cdot 8}$

Step 2.3

Cancel the common factor.

$\frac{5 \cdot 4403}{5 \cdot 8}$

Step 2.4

Rewrite the expression.

$\frac{4403}{8}$

Step 3

Set up the division problem in long division format.

$8$

$4$

$0$

$3$

Step 4

Divide $44$ by $8$ . Place this digit in the quotient on top of the division symbol.

		$5$
$8$	$4$	$4$	$0$	$3$

Step 5

Multiply the newest quotient digit $(5)$ by the divisor $8$ .

		$5$
$8$	$4$	$4$	$0$	$3$
	$4$	$0$

Step 6

Subtract $40$ from $44$ .

		$5$
$8$	$4$	$4$	$0$	$3$
	$4$	$0$
		$4$

Step 7

Bring down the next number of the dividend.

		$5$
$8$	$4$	$4$	$0$	$3$
	$4$	$0$
		$4$	$0$

Step 8

Divide $40$ by $8$ . Place this digit in the quotient on top of the division symbol.

		$5$	$5$
$8$	$4$	$4$	$0$	$3$
	$4$	$0$
		$4$	$0$

Step 9

Multiply the newest quotient digit $(5)$ by the divisor $8$ .

		$5$	$5$
$8$	$4$	$4$	$0$	$3$
	$4$	$0$
		$4$	$0$
	$-$	$4$	$0$

Step 10

Subtract $40$ from $40$ .

		$5$	$5$
$8$	$4$	$4$	$0$	$3$
	$4$	$0$
		$4$	$0$
	$-$	$4$	$0$
			$0$

Step 11

Bring down the next number of the dividend.

		$5$	$5$
$8$	$4$	$4$	$0$	$3$
	$4$	$0$
		$4$	$0$
	$-$	$4$	$0$
			$0$	$3$

Step 12

Divide $3$ by $8$ . Place this digit in the quotient on top of the division symbol.

		$5$	$5$	$0$
$8$	$4$	$4$	$0$	$3$
	$4$	$0$
		$4$	$0$
	$-$	$4$	$0$
			$0$	$3$

Step 13

Multiply the newest quotient digit $(0)$ by the divisor $8$ .

		$5$	$5$	$0$
$8$	$4$	$4$	$0$	$3$
	$4$	$0$
		$4$	$0$
	$-$	$4$	$0$
			$0$	$3$
		$-$		$0$

Step 14

Subtract $0$ from $3$ .

		$5$	$5$	$0$
$8$	$4$	$4$	$0$	$3$
	$4$	$0$
		$4$	$0$
	$-$	$4$	$0$
			$0$	$3$
		$-$		$0$
				$3$

Step 15

The result of division of $\frac{4403}{8}$ is $550$ with a remainder of $3$ .

$550 \frac{3}{8}$

		$5$	$5$	$0$
$8$	$4$	$4$	$0$	$3$
	$4$	$0$
		$4$	$0$
	$-$	$4$	$0$
			$0$	$3$
		$-$		$0$
				$3$

		$5$	$5$	$0$
$8$	$4$	$4$	$0$	$3$
	$4$	$0$
		$4$	$0$
	$-$	$4$	$0$
			$0$	$3$
		$-$		$0$
				$3$

		$5$	$5$	$0$
$8$	$4$	$4$	$0$	$3$
	$4$	$0$
		$4$	$0$
	$-$	$4$	$0$
			$0$	$3$
		$-$		$0$
				$3$