Pre-Algebra Examples

$\frac{3808080}{7}$

Step 1

Set up the division problem in long division format.

$7$

$3$

$8$

$0$

$8$

$0$

$8$

$0$

Step 2

Divide $38$ by $7$ . Place this digit in the quotient on top of the division symbol.

		$5$
$7$	$3$	$8$	$0$	$8$	$0$	$8$	$0$

Step 3

Multiply the newest quotient digit $(5)$ by the divisor $7$ .

		$5$
$7$	$3$	$8$	$0$	$8$	$0$	$8$	$0$
	$3$	$5$

Step 4

Subtract $35$ from $38$ .

		$5$
$7$	$3$	$8$	$0$	$8$	$0$	$8$	$0$
	$3$	$5$
		$3$

Step 5

Bring down the next number of the dividend.

		$5$
$7$	$3$	$8$	$0$	$8$	$0$	$8$	$0$
	$3$	$5$
		$3$	$0$

Step 6

Divide $30$ by $7$ . Place this digit in the quotient on top of the division symbol.

		$5$	$4$
$7$	$3$	$8$	$0$	$8$	$0$	$8$	$0$
	$3$	$5$
		$3$	$0$

Step 7

Multiply the newest quotient digit $(4)$ by the divisor $7$ .

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

Step 8

Subtract $28$ from $30$ .

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

Step 9

Bring down the next number of the dividend.

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

Step 10

Divide $28$ by $7$ . Place this digit in the quotient on top of the division symbol.

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

Step 11

Multiply the newest quotient digit $(4)$ by the divisor $7$ .

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

Step 12

Subtract $28$ from $28$ .

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

Step 13

Bring down the next number of the dividend.

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

Step 14

Divide $0$ by $7$ . Place this digit in the quotient on top of the division symbol.

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

Step 15

Multiply the newest quotient digit $(0)$ by the divisor $7$ .

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

Step 16

Subtract $0$ from $0$ .

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

Step 17

Bring down the next number of the dividend.

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

Step 18

Divide $8$ by $7$ . Place this digit in the quotient on top of the division symbol.

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

Step 19

Multiply the newest quotient digit $(1)$ by the divisor $7$ .

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

Step 20

Subtract $7$ from $8$ .

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

Step 21

Bring down the next number of the dividend.

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

Step 22

Divide $10$ by $7$ . Place this digit in the quotient on top of the division symbol.

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

Step 23

Multiply the newest quotient digit $(1)$ by the divisor $7$ .

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

Step 24

Subtract $7$ from $10$ .

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

Step 25

The result of division of $\frac{3808080}{7}$ is $544011$ with a remainder of $3$ .

$544011 \frac{3}{7}$

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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