Pre-Algebra Examples

$5 \div 0.37$

Step 1

Set up the division problem in long division format.

$0$

$3$

$7$

$5$

Step 2

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

$3$

$7$

$5$

$0$

Step 3

Divide $50$ by $37$ . Place this digit in the quotient on top of the division symbol.

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

Step 4

Multiply the newest quotient digit $(1)$ by the divisor $37$ .

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

Step 5

Subtract $37$ from $50$ .

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

Step 6

Bring down the next number of the dividend.

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

Step 7

Divide $130$ by $37$ . Place this digit in the quotient on top of the division symbol.

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

Step 8

Multiply the newest quotient digit $(3)$ by the divisor $37$ .

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

Step 9

Subtract $111$ from $130$ .

			$1$	$3$
$3$	$7$	$5$	$0$	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$

Step 10

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

			$1$	$3$
$3$	$7$	$5$	$0$	$0$	.	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$

Step 11

Bring down the next number of the dividend.

			$1$	$3$
$3$	$7$	$5$	$0$	$0$	.	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$

Step 12

Divide $190$ by $37$ . Place this digit in the quotient on top of the division symbol.

			$1$	$3$	.	$5$
$3$	$7$	$5$	$0$	$0$	.	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$

Step 13

Multiply the newest quotient digit $(5)$ by the divisor $37$ .

			$1$	$3$	.	$5$
$3$	$7$	$5$	$0$	$0$	.	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$
			$-$	$1$	$8$	$5$

Step 14

Subtract $185$ from $190$ .

			$1$	$3$	.	$5$
$3$	$7$	$5$	$0$	$0$	.	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$
			$-$	$1$	$8$	$5$
						$5$

Step 15

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

			$1$	$3$	.	$5$
$3$	$7$	$5$	$0$	$0$	.	$0$	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$
			$-$	$1$	$8$	$5$
						$5$

Step 16

Bring down the next number of the dividend.

			$1$	$3$	.	$5$
$3$	$7$	$5$	$0$	$0$	.	$0$	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$
			$-$	$1$	$8$	$5$
						$5$	$0$

Step 17

Divide $50$ by $37$ . Place this digit in the quotient on top of the division symbol.

			$1$	$3$	.	$5$	$1$
$3$	$7$	$5$	$0$	$0$	.	$0$	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$
			$-$	$1$	$8$	$5$
						$5$	$0$

Step 18

Multiply the newest quotient digit $(1)$ by the divisor $37$ .

			$1$	$3$	.	$5$	$1$
$3$	$7$	$5$	$0$	$0$	.	$0$	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$
			$-$	$1$	$8$	$5$
						$5$	$0$
					$-$	$3$	$7$

Step 19

Subtract $37$ from $50$ .

			$1$	$3$	.	$5$	$1$
$3$	$7$	$5$	$0$	$0$	.	$0$	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$
			$-$	$1$	$8$	$5$
						$5$	$0$
					$-$	$3$	$7$
						$1$	$3$

Step 20

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

			$1$	$3$	.	$5$	$1$
$3$	$7$	$5$	$0$	$0$	.	$0$	$0$	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$
			$-$	$1$	$8$	$5$
						$5$	$0$
					$-$	$3$	$7$
						$1$	$3$

Step 21

Bring down the next number of the dividend.

			$1$	$3$	.	$5$	$1$
$3$	$7$	$5$	$0$	$0$	.	$0$	$0$	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$
			$-$	$1$	$8$	$5$
						$5$	$0$
					$-$	$3$	$7$
						$1$	$3$	$0$

Step 22

Divide $130$ by $37$ . Place this digit in the quotient on top of the division symbol.

			$1$	$3$	.	$5$	$1$	$3$
$3$	$7$	$5$	$0$	$0$	.	$0$	$0$	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$
			$-$	$1$	$8$	$5$
						$5$	$0$
					$-$	$3$	$7$
						$1$	$3$	$0$

Step 23

Multiply the newest quotient digit $(3)$ by the divisor $37$ .

			$1$	$3$	.	$5$	$1$	$3$
$3$	$7$	$5$	$0$	$0$	.	$0$	$0$	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$
			$-$	$1$	$8$	$5$
						$5$	$0$
					$-$	$3$	$7$
						$1$	$3$	$0$
					$-$	$1$	$1$	$1$

Step 24

Subtract $111$ from $130$ .

			$1$	$3$	.	$5$	$1$	$3$
$3$	$7$	$5$	$0$	$0$	.	$0$	$0$	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$
			$-$	$1$	$8$	$5$
						$5$	$0$
					$-$	$3$	$7$
						$1$	$3$	$0$
					$-$	$1$	$1$	$1$
							$1$	$9$

Step 25

The result of division of $5 \div 0.37$ is $13.513 \dots$ .

$13.513 \dots$

			$1$	$3$
$3$	$7$	$5$	$0$	$0$	.	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$

			$1$	$3$
$3$	$7$	$5$	$0$	$0$	.	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$

			$1$	$3$	.	$5$
$3$	$7$	$5$	$0$	$0$	.	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$

			$1$	$3$	.	$5$
$3$	$7$	$5$	$0$	$0$	.	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$
			$-$	$1$	$8$	$5$

			$1$	$3$	.	$5$
$3$	$7$	$5$	$0$	$0$	.	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$
			$-$	$1$	$8$	$5$
						$5$

			$1$	$3$	.	$5$
$3$	$7$	$5$	$0$	$0$	.	$0$	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$
			$-$	$1$	$8$	$5$
						$5$

			$1$	$3$	.	$5$
$3$	$7$	$5$	$0$	$0$	.	$0$	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$
			$-$	$1$	$8$	$5$
						$5$	$0$

			$1$	$3$	.	$5$	$1$
$3$	$7$	$5$	$0$	$0$	.	$0$	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$
			$-$	$1$	$8$	$5$
						$5$	$0$

			$1$	$3$	.	$5$	$1$
$3$	$7$	$5$	$0$	$0$	.	$0$	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$
			$-$	$1$	$8$	$5$
						$5$	$0$
					$-$	$3$	$7$

			$1$	$3$	.	$5$	$1$
$3$	$7$	$5$	$0$	$0$	.	$0$	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$
			$-$	$1$	$8$	$5$
						$5$	$0$
					$-$	$3$	$7$
						$1$	$3$

			$1$	$3$
$3$	$7$	$5$	$0$	$0$	.	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$

			$1$	$3$
$3$	$7$	$5$	$0$	$0$	.	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$

			$1$	$3$	.	$5$
$3$	$7$	$5$	$0$	$0$	.	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$

			$1$	$3$	.	$5$
$3$	$7$	$5$	$0$	$0$	.	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$
			$-$	$1$	$8$	$5$

			$1$	$3$	.	$5$
$3$	$7$	$5$	$0$	$0$	.	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$
			$-$	$1$	$8$	$5$
						$5$

			$1$	$3$	.	$5$
$3$	$7$	$5$	$0$	$0$	.	$0$	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$
			$-$	$1$	$8$	$5$
						$5$

			$1$	$3$	.	$5$
$3$	$7$	$5$	$0$	$0$	.	$0$	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$
			$-$	$1$	$8$	$5$
						$5$	$0$

			$1$	$3$	.	$5$	$1$
$3$	$7$	$5$	$0$	$0$	.	$0$	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$
			$-$	$1$	$8$	$5$
						$5$	$0$

			$1$	$3$	.	$5$	$1$
$3$	$7$	$5$	$0$	$0$	.	$0$	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$
			$-$	$1$	$8$	$5$
						$5$	$0$
					$-$	$3$	$7$

			$1$	$3$	.	$5$	$1$
$3$	$7$	$5$	$0$	$0$	.	$0$	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$
			$-$	$1$	$8$	$5$
						$5$	$0$
					$-$	$3$	$7$
						$1$	$3$

			$1$	$3$
$3$	$7$	$5$	$0$	$0$	.	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$

			$1$	$3$
$3$	$7$	$5$	$0$	$0$	.	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$

			$1$	$3$	.	$5$
$3$	$7$	$5$	$0$	$0$	.	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$

			$1$	$3$	.	$5$
$3$	$7$	$5$	$0$	$0$	.	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$
			$-$	$1$	$8$	$5$

			$1$	$3$	.	$5$
$3$	$7$	$5$	$0$	$0$	.	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$
			$-$	$1$	$8$	$5$
						$5$

			$1$	$3$	.	$5$
$3$	$7$	$5$	$0$	$0$	.	$0$	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$
			$-$	$1$	$8$	$5$
						$5$

			$1$	$3$	.	$5$
$3$	$7$	$5$	$0$	$0$	.	$0$	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$
			$-$	$1$	$8$	$5$
						$5$	$0$

			$1$	$3$	.	$5$	$1$
$3$	$7$	$5$	$0$	$0$	.	$0$	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$
			$-$	$1$	$8$	$5$
						$5$	$0$

			$1$	$3$	.	$5$	$1$
$3$	$7$	$5$	$0$	$0$	.	$0$	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$
			$-$	$1$	$8$	$5$
						$5$	$0$
					$-$	$3$	$7$

			$1$	$3$	.	$5$	$1$
$3$	$7$	$5$	$0$	$0$	.	$0$	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$
			$-$	$1$	$8$	$5$
						$5$	$0$
					$-$	$3$	$7$
						$1$	$3$