Pre-Algebra Examples

$3251 \div 32$

Step 1

Set up the division problem in long division format.

$3$

$2$

$3$

$2$

$5$

$1$

Step 2

Divide $32$ by $32$ . Place this digit in the quotient on top of the division symbol.

			$1$
$3$	$2$	$3$	$2$	$5$	$1$

Step 3

Multiply the newest quotient digit $(1)$ by the divisor $32$ .

			$1$
$3$	$2$	$3$	$2$	$5$	$1$
	$-$	$3$	$2$

Step 4

Subtract $32$ from $32$ .

			$1$
$3$	$2$	$3$	$2$	$5$	$1$
	$-$	$3$	$2$
			$0$

Step 5

Bring down the next number of the dividend.

			$1$
$3$	$2$	$3$	$2$	$5$	$1$
	$-$	$3$	$2$
			$0$	$5$

Step 6

Divide $5$ by $32$ . Place this digit in the quotient on top of the division symbol.

			$1$	$0$
$3$	$2$	$3$	$2$	$5$	$1$
	$-$	$3$	$2$
			$0$	$5$

Step 7

Multiply the newest quotient digit $(0)$ by the divisor $32$ .

			$1$	$0$
$3$	$2$	$3$	$2$	$5$	$1$
	$-$	$3$	$2$
			$0$	$5$
		$-$		$0$

Step 8

Subtract $0$ from $5$ .

			$1$	$0$
$3$	$2$	$3$	$2$	$5$	$1$
	$-$	$3$	$2$
			$0$	$5$
		$-$		$0$
				$5$

Step 9

Bring down the next number of the dividend.

			$1$	$0$
$3$	$2$	$3$	$2$	$5$	$1$
	$-$	$3$	$2$
			$0$	$5$
		$-$		$0$
				$5$	$1$

Step 10

Divide $51$ by $32$ . Place this digit in the quotient on top of the division symbol.

			$1$	$0$	$1$
$3$	$2$	$3$	$2$	$5$	$1$
	$-$	$3$	$2$
			$0$	$5$
		$-$		$0$
				$5$	$1$

Step 11

Multiply the newest quotient digit $(1)$ by the divisor $32$ .

			$1$	$0$	$1$
$3$	$2$	$3$	$2$	$5$	$1$
	$-$	$3$	$2$
			$0$	$5$
		$-$		$0$
				$5$	$1$
			$-$	$3$	$2$

Step 12

Subtract $32$ from $51$ .

			$1$	$0$	$1$
$3$	$2$	$3$	$2$	$5$	$1$
	$-$	$3$	$2$
			$0$	$5$
		$-$		$0$
				$5$	$1$
			$-$	$3$	$2$
				$1$	$9$

Step 13

The result of division of $3251 \div 32$ is $101$ with a remainder of $19$ .

$101 \frac{19}{32}$

			$1$	$0$	$1$
$3$	$2$	$3$	$2$	$5$	$1$
	$-$	$3$	$2$
			$0$	$5$
		$-$		$0$
				$5$	$1$
			$-$	$3$	$2$

			$1$	$0$	$1$
$3$	$2$	$3$	$2$	$5$	$1$
	$-$	$3$	$2$
			$0$	$5$
		$-$		$0$
				$5$	$1$
			$-$	$3$	$2$
				$1$	$9$

			$1$	$0$	$1$
$3$	$2$	$3$	$2$	$5$	$1$
	$-$	$3$	$2$
			$0$	$5$
		$-$		$0$
				$5$	$1$
			$-$	$3$	$2$

			$1$	$0$	$1$
$3$	$2$	$3$	$2$	$5$	$1$
	$-$	$3$	$2$
			$0$	$5$
		$-$		$0$
				$5$	$1$
			$-$	$3$	$2$
				$1$	$9$

			$1$	$0$	$1$
$3$	$2$	$3$	$2$	$5$	$1$
	$-$	$3$	$2$
			$0$	$5$
		$-$		$0$
				$5$	$1$
			$-$	$3$	$2$

			$1$	$0$	$1$
$3$	$2$	$3$	$2$	$5$	$1$
	$-$	$3$	$2$
			$0$	$5$
		$-$		$0$
				$5$	$1$
			$-$	$3$	$2$
				$1$	$9$