Pre-Algebra Examples

$61.7 \div 0.5$

Step 1

Set up the division problem in long division format.

$0$

$5$

$6$

$1$

$7$

Step 2

Move the decimal the same amount of places in both numbers until the divisor is a whole number.

$5$

$6$

$1$

$7$

Step 3

Divide $6$ by $5$ . Place this digit in the quotient on top of the division symbol.

	$1$
$5$	$6$	$1$	$7$

Step 4

Multiply the newest quotient digit $(1)$ by the divisor $5$ .

	$1$
$5$	$6$	$1$	$7$
$-$	$5$

Step 5

Subtract $5$ from $6$ .

	$1$
$5$	$6$	$1$	$7$
$-$	$5$
	$1$

Step 6

Bring down the next number of the dividend.

	$1$
$5$	$6$	$1$	$7$
$-$	$5$
	$1$	$1$

Step 7

Divide $11$ by $5$ . Place this digit in the quotient on top of the division symbol.

	$1$	$2$
$5$	$6$	$1$	$7$
$-$	$5$
	$1$	$1$

Step 8

Multiply the newest quotient digit $(2)$ by the divisor $5$ .

	$1$	$2$
$5$	$6$	$1$	$7$
$-$	$5$
	$1$	$1$
$-$	$1$	$0$

Step 9

Subtract $10$ from $11$ .

	$1$	$2$
$5$	$6$	$1$	$7$
$-$	$5$
	$1$	$1$
$-$	$1$	$0$
		$1$

Step 10

Bring down the next number of the dividend.

	$1$	$2$
$5$	$6$	$1$	$7$
$-$	$5$
	$1$	$1$
$-$	$1$	$0$
		$1$	$7$

Step 11

Divide $17$ by $5$ . Place this digit in the quotient on top of the division symbol.

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

Step 12

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

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

Step 13

Subtract $15$ from $17$ .

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

Step 14

Add a $0$ to the end of the dividend.

	$1$	$2$	$3$
$5$	$6$	$1$	$7$	.	$0$
$-$	$5$
	$1$	$1$
$-$	$1$	$0$
		$1$	$7$
	$-$	$1$	$5$
			$2$

Step 15

Bring down the next number of the dividend.

	$1$	$2$	$3$
$5$	$6$	$1$	$7$	.	$0$
$-$	$5$
	$1$	$1$
$-$	$1$	$0$
		$1$	$7$
	$-$	$1$	$5$
			$2$	$0$

Step 16

Divide $20$ by $5$ . Place this digit in the quotient on top of the division symbol.

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

Step 17

Multiply the newest quotient digit $(4)$ by the divisor $5$ .

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

Step 18

Subtract $20$ from $20$ .

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

Step 19

The result of division of $61.7 \div 0.5$ is $123.4$ .

$123.4$

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

	$1$	$2$	$3$
$5$	$6$	$1$	$7$	.	$0$
$-$	$5$
	$1$	$1$
$-$	$1$	$0$
		$1$	$7$
	$-$	$1$	$5$
			$2$

	$1$	$2$	$3$
$5$	$6$	$1$	$7$	.	$0$
$-$	$5$
	$1$	$1$
$-$	$1$	$0$
		$1$	$7$
	$-$	$1$	$5$
			$2$	$0$

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

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

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

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

	$1$	$2$	$3$
$5$	$6$	$1$	$7$	.	$0$
$-$	$5$
	$1$	$1$
$-$	$1$	$0$
		$1$	$7$
	$-$	$1$	$5$
			$2$

	$1$	$2$	$3$
$5$	$6$	$1$	$7$	.	$0$
$-$	$5$
	$1$	$1$
$-$	$1$	$0$
		$1$	$7$
	$-$	$1$	$5$
			$2$	$0$

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

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

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

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

	$1$	$2$	$3$
$5$	$6$	$1$	$7$	.	$0$
$-$	$5$
	$1$	$1$
$-$	$1$	$0$
		$1$	$7$
	$-$	$1$	$5$
			$2$

	$1$	$2$	$3$
$5$	$6$	$1$	$7$	.	$0$
$-$	$5$
	$1$	$1$
$-$	$1$	$0$
		$1$	$7$
	$-$	$1$	$5$
			$2$	$0$

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

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

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