Pre-Algebra Examples

$\frac{42280}{900}$

Step 1

Reduce the expression $\frac{42280}{900}$ by cancelling the common factors.

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Step 1.1

Factor $20$ out of $42280$ .

$\frac{20 (2114)}{900}$

Step 1.2

Factor $20$ out of $900$ .

$\frac{20 \cdot 2114}{20 \cdot 45}$

Step 1.3

Cancel the common factor.

$\frac{20 \cdot 2114}{20 \cdot 45}$

Step 1.4

Rewrite the expression.

$\frac{2114}{45}$

Step 2

Set up the division problem in long division format.

$4$

$5$

$2$

$1$

$4$

Step 3

Divide $211$ by $45$ . Place this digit in the quotient on top of the division symbol.

				$4$
$4$	$5$	$2$	$1$	$1$	$4$

Step 4

Multiply the newest quotient digit $(4)$ by the divisor $45$ .

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

Step 5

Subtract $180$ from $211$ .

				$4$
$4$	$5$	$2$	$1$	$1$	$4$
		$1$	$8$	$0$
			$3$	$1$

Step 6

Bring down the next number of the dividend.

				$4$
$4$	$5$	$2$	$1$	$1$	$4$
		$1$	$8$	$0$
			$3$	$1$	$4$

Step 7

Divide $314$ by $45$ . Place this digit in the quotient on top of the division symbol.

				$4$	$6$
$4$	$5$	$2$	$1$	$1$	$4$
		$1$	$8$	$0$
			$3$	$1$	$4$

Step 8

Multiply the newest quotient digit $(6)$ by the divisor $45$ .

				$4$	$6$
$4$	$5$	$2$	$1$	$1$	$4$
		$1$	$8$	$0$
			$3$	$1$	$4$
		$-$	$2$	$7$	$0$

Step 9

Subtract $270$ from $314$ .

				$4$	$6$
$4$	$5$	$2$	$1$	$1$	$4$
		$1$	$8$	$0$
			$3$	$1$	$4$
		$-$	$2$	$7$	$0$
				$4$	$4$

Step 10

The result of division of $\frac{2114}{45}$ is $46$ with a remainder of $44$ .

$46 \frac{44}{45}$

				$4$	$6$
$4$	$5$	$2$	$1$	$1$	$4$
		$1$	$8$	$0$
			$3$	$1$	$4$
		$-$	$2$	$7$	$0$
				$4$	$4$

				$4$	$6$
$4$	$5$	$2$	$1$	$1$	$4$
		$1$	$8$	$0$
			$3$	$1$	$4$
		$-$	$2$	$7$	$0$
				$4$	$4$

				$4$	$6$
$4$	$5$	$2$	$1$	$1$	$4$
		$1$	$8$	$0$
			$3$	$1$	$4$
		$-$	$2$	$7$	$0$
				$4$	$4$