Pre-Algebra Examples

$\frac{45141}{9}$

Step 1

Reduce the expression $\frac{45141}{9}$ by cancelling the common factors.

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Step 1.1

Factor $3$ out of $45141$ .

$\frac{3 (15047)}{9}$

Step 1.2

Factor $3$ out of $9$ .

$\frac{3 \cdot 15047}{3 \cdot 3}$

Step 1.3

Cancel the common factor.

$\frac{3 \cdot 15047}{3 \cdot 3}$

Step 1.4

Rewrite the expression.

$\frac{15047}{3}$

Step 2

Set up the division problem in long division format.

$3$

$1$

$5$

$0$

$4$

$7$

Step 3

Divide $15$ by $3$ . Place this digit in the quotient on top of the division symbol.

		$5$
$3$	$1$	$5$	$0$	$4$	$7$

Step 4

Multiply the newest quotient digit $(5)$ by the divisor $3$ .

		$5$
$3$	$1$	$5$	$0$	$4$	$7$
	$1$	$5$

Step 5

Subtract $15$ from $15$ .

		$5$
$3$	$1$	$5$	$0$	$4$	$7$
	$1$	$5$
		$0$

Step 6

Bring down the next number of the dividend.

		$5$
$3$	$1$	$5$	$0$	$4$	$7$
	$1$	$5$
		$0$	$0$

Step 7

Divide $0$ by $3$ . Place this digit in the quotient on top of the division symbol.

		$5$	$0$
$3$	$1$	$5$	$0$	$4$	$7$
	$1$	$5$
		$0$	$0$

Step 8

Multiply the newest quotient digit $(0)$ by the divisor $3$ .

		$5$	$0$
$3$	$1$	$5$	$0$	$4$	$7$
	$1$	$5$
		$0$	$0$
	$-$		$0$

Step 9

Subtract $0$ from $0$ .

		$5$	$0$
$3$	$1$	$5$	$0$	$4$	$7$
	$1$	$5$
		$0$	$0$
	$-$		$0$
			$0$

Step 10

Bring down the next number of the dividend.

		$5$	$0$
$3$	$1$	$5$	$0$	$4$	$7$
	$1$	$5$
		$0$	$0$
	$-$		$0$
			$0$	$4$

Step 11

Divide $4$ by $3$ . Place this digit in the quotient on top of the division symbol.

		$5$	$0$	$1$
$3$	$1$	$5$	$0$	$4$	$7$
	$1$	$5$
		$0$	$0$
	$-$		$0$
			$0$	$4$

Step 12

Multiply the newest quotient digit $(1)$ by the divisor $3$ .

		$5$	$0$	$1$
$3$	$1$	$5$	$0$	$4$	$7$
	$1$	$5$
		$0$	$0$
	$-$		$0$
			$0$	$4$
		$-$		$3$

Step 13

Subtract $3$ from $4$ .

		$5$	$0$	$1$
$3$	$1$	$5$	$0$	$4$	$7$
	$1$	$5$
		$0$	$0$
	$-$		$0$
			$0$	$4$
		$-$		$3$
				$1$

Step 14

Bring down the next number of the dividend.

		$5$	$0$	$1$
$3$	$1$	$5$	$0$	$4$	$7$
	$1$	$5$
		$0$	$0$
	$-$		$0$
			$0$	$4$
		$-$		$3$
				$1$	$7$

Step 15

Divide $17$ by $3$ . Place this digit in the quotient on top of the division symbol.

		$5$	$0$	$1$	$5$
$3$	$1$	$5$	$0$	$4$	$7$
	$1$	$5$
		$0$	$0$
	$-$		$0$
			$0$	$4$
		$-$		$3$
				$1$	$7$

Step 16

Multiply the newest quotient digit $(5)$ by the divisor $3$ .

		$5$	$0$	$1$	$5$
$3$	$1$	$5$	$0$	$4$	$7$
	$1$	$5$
		$0$	$0$
	$-$		$0$
			$0$	$4$
		$-$		$3$
				$1$	$7$
			$-$	$1$	$5$

Step 17

Subtract $15$ from $17$ .

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

Step 18

The result of division of $\frac{15047}{3}$ is $5015$ with a remainder of $2$ .

$5015 \frac{2}{3}$

		$5$	$0$	$1$
$3$	$1$	$5$	$0$	$4$	$7$
	$1$	$5$
		$0$	$0$
	$-$		$0$
			$0$	$4$
		$-$		$3$
				$1$

		$5$	$0$	$1$
$3$	$1$	$5$	$0$	$4$	$7$
	$1$	$5$
		$0$	$0$
	$-$		$0$
			$0$	$4$
		$-$		$3$
				$1$	$7$

		$5$	$0$	$1$	$5$
$3$	$1$	$5$	$0$	$4$	$7$
	$1$	$5$
		$0$	$0$
	$-$		$0$
			$0$	$4$
		$-$		$3$
				$1$	$7$

		$5$	$0$	$1$	$5$
$3$	$1$	$5$	$0$	$4$	$7$
	$1$	$5$
		$0$	$0$
	$-$		$0$
			$0$	$4$
		$-$		$3$
				$1$	$7$
			$-$	$1$	$5$

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

		$5$	$0$	$1$
$3$	$1$	$5$	$0$	$4$	$7$
	$1$	$5$
		$0$	$0$
	$-$		$0$
			$0$	$4$
		$-$		$3$
				$1$

		$5$	$0$	$1$
$3$	$1$	$5$	$0$	$4$	$7$
	$1$	$5$
		$0$	$0$
	$-$		$0$
			$0$	$4$
		$-$		$3$
				$1$	$7$

		$5$	$0$	$1$	$5$
$3$	$1$	$5$	$0$	$4$	$7$
	$1$	$5$
		$0$	$0$
	$-$		$0$
			$0$	$4$
		$-$		$3$
				$1$	$7$

		$5$	$0$	$1$	$5$
$3$	$1$	$5$	$0$	$4$	$7$
	$1$	$5$
		$0$	$0$
	$-$		$0$
			$0$	$4$
		$-$		$3$
				$1$	$7$
			$-$	$1$	$5$

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

		$5$	$0$	$1$
$3$	$1$	$5$	$0$	$4$	$7$
	$1$	$5$
		$0$	$0$
	$-$		$0$
			$0$	$4$
		$-$		$3$
				$1$

		$5$	$0$	$1$
$3$	$1$	$5$	$0$	$4$	$7$
	$1$	$5$
		$0$	$0$
	$-$		$0$
			$0$	$4$
		$-$		$3$
				$1$	$7$

		$5$	$0$	$1$	$5$
$3$	$1$	$5$	$0$	$4$	$7$
	$1$	$5$
		$0$	$0$
	$-$		$0$
			$0$	$4$
		$-$		$3$
				$1$	$7$

		$5$	$0$	$1$	$5$
$3$	$1$	$5$	$0$	$4$	$7$
	$1$	$5$
		$0$	$0$
	$-$		$0$
			$0$	$4$
		$-$		$3$
				$1$	$7$
			$-$	$1$	$5$

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