Pre-Algebra Examples

$42.1 \div 0.3$

Step 1

Set up the division problem in long division format.

$0$

$3$

$4$

$2$

$1$

Step 2

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

$3$

$4$

$2$

$1$

Step 3

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

	$1$
$3$	$4$	$2$	$1$

Step 4

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

	$1$
$3$	$4$	$2$	$1$
$-$	$3$

Step 5

Subtract $3$ from $4$ .

	$1$
$3$	$4$	$2$	$1$
$-$	$3$
	$1$

Step 6

Bring down the next number of the dividend.

	$1$
$3$	$4$	$2$	$1$
$-$	$3$
	$1$	$2$

Step 7

Divide $12$ by $3$ . Place this digit in the quotient on top of the division symbol.

	$1$	$4$
$3$	$4$	$2$	$1$
$-$	$3$
	$1$	$2$

Step 8

Multiply the newest quotient digit $(4)$ by the divisor $3$ .

	$1$	$4$
$3$	$4$	$2$	$1$
$-$	$3$
	$1$	$2$
$-$	$1$	$2$

Step 9

Subtract $12$ from $12$ .

	$1$	$4$
$3$	$4$	$2$	$1$
$-$	$3$
	$1$	$2$
$-$	$1$	$2$
		$0$

Step 10

Bring down the next number of the dividend.

	$1$	$4$
$3$	$4$	$2$	$1$
$-$	$3$
	$1$	$2$
$-$	$1$	$2$
		$0$	$1$

Step 11

Divide $1$ by $3$ . Place this digit in the quotient on top of the division symbol.

	$1$	$4$	$0$
$3$	$4$	$2$	$1$
$-$	$3$
	$1$	$2$
$-$	$1$	$2$
		$0$	$1$

Step 12

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

	$1$	$4$	$0$
$3$	$4$	$2$	$1$
$-$	$3$
	$1$	$2$
$-$	$1$	$2$
		$0$	$1$
	$-$		$0$

Step 13

Subtract $0$ from $1$ .

	$1$	$4$	$0$
$3$	$4$	$2$	$1$
$-$	$3$
	$1$	$2$
$-$	$1$	$2$
		$0$	$1$
	$-$		$0$
			$1$

Step 14

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

	$1$	$4$	$0$
$3$	$4$	$2$	$1$	.	$0$
$-$	$3$
	$1$	$2$
$-$	$1$	$2$
		$0$	$1$
	$-$		$0$
			$1$

Step 15

Bring down the next number of the dividend.

	$1$	$4$	$0$
$3$	$4$	$2$	$1$	.	$0$
$-$	$3$
	$1$	$2$
$-$	$1$	$2$
		$0$	$1$
	$-$		$0$
			$1$	$0$

Step 16

Divide $10$ by $3$ . Place this digit in the quotient on top of the division symbol.

	$1$	$4$	$0$	.	$3$
$3$	$4$	$2$	$1$	.	$0$
$-$	$3$
	$1$	$2$
$-$	$1$	$2$
		$0$	$1$
	$-$		$0$
			$1$	$0$

Step 17

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

	$1$	$4$	$0$	.	$3$
$3$	$4$	$2$	$1$	.	$0$
$-$	$3$
	$1$	$2$
$-$	$1$	$2$
		$0$	$1$
	$-$		$0$
			$1$	$0$
			$-$		$9$

Step 18

Subtract $9$ from $10$ .

	$1$	$4$	$0$	.	$3$
$3$	$4$	$2$	$1$	.	$0$
$-$	$3$
	$1$	$2$
$-$	$1$	$2$
		$0$	$1$
	$-$		$0$
			$1$	$0$
			$-$		$9$
					$1$

Step 19

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

	$1$	$4$	$0$	.	$3$
$3$	$4$	$2$	$1$	.	$0$	$0$
$-$	$3$
	$1$	$2$
$-$	$1$	$2$
		$0$	$1$
	$-$		$0$
			$1$	$0$
			$-$		$9$
					$1$

Step 20

Bring down the next number of the dividend.

	$1$	$4$	$0$	.	$3$
$3$	$4$	$2$	$1$	.	$0$	$0$
$-$	$3$
	$1$	$2$
$-$	$1$	$2$
		$0$	$1$
	$-$		$0$
			$1$	$0$
			$-$		$9$
					$1$	$0$

Step 21

Divide $10$ by $3$ . Place this digit in the quotient on top of the division symbol.

	$1$	$4$	$0$	.	$3$	$3$
$3$	$4$	$2$	$1$	.	$0$	$0$
$-$	$3$
	$1$	$2$
$-$	$1$	$2$
		$0$	$1$
	$-$		$0$
			$1$	$0$
			$-$		$9$
					$1$	$0$

Step 22

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

	$1$	$4$	$0$	.	$3$	$3$
$3$	$4$	$2$	$1$	.	$0$	$0$
$-$	$3$
	$1$	$2$
$-$	$1$	$2$
		$0$	$1$
	$-$		$0$
			$1$	$0$
			$-$		$9$
					$1$	$0$
				$-$		$9$

Step 23

Subtract $9$ from $10$ .

	$1$	$4$	$0$	.	$3$	$3$
$3$	$4$	$2$	$1$	.	$0$	$0$
$-$	$3$
	$1$	$2$
$-$	$1$	$2$
		$0$	$1$
	$-$		$0$
			$1$	$0$
			$-$		$9$
					$1$	$0$
				$-$		$9$
						$1$

Step 24

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

	$1$	$4$	$0$	.	$3$	$3$
$3$	$4$	$2$	$1$	.	$0$	$0$	$0$
$-$	$3$
	$1$	$2$
$-$	$1$	$2$
		$0$	$1$
	$-$		$0$
			$1$	$0$
			$-$		$9$
					$1$	$0$
				$-$		$9$
						$1$

Step 25

Bring down the next number of the dividend.

	$1$	$4$	$0$	.	$3$	$3$
$3$	$4$	$2$	$1$	.	$0$	$0$	$0$
$-$	$3$
	$1$	$2$
$-$	$1$	$2$
		$0$	$1$
	$-$		$0$
			$1$	$0$
			$-$		$9$
					$1$	$0$
				$-$		$9$
						$1$	$0$

Step 26

Divide $10$ by $3$ . Place this digit in the quotient on top of the division symbol.

	$1$	$4$	$0$	.	$3$	$3$	$3$
$3$	$4$	$2$	$1$	.	$0$	$0$	$0$
$-$	$3$
	$1$	$2$
$-$	$1$	$2$
		$0$	$1$
	$-$		$0$
			$1$	$0$
			$-$		$9$
					$1$	$0$
				$-$		$9$
						$1$	$0$

Step 27

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

	$1$	$4$	$0$	.	$3$	$3$	$3$
$3$	$4$	$2$	$1$	.	$0$	$0$	$0$
$-$	$3$
	$1$	$2$
$-$	$1$	$2$
		$0$	$1$
	$-$		$0$
			$1$	$0$
			$-$		$9$
					$1$	$0$
				$-$		$9$
						$1$	$0$
					$-$		$9$

Step 28

Subtract $9$ from $10$ .

	$1$	$4$	$0$	.	$3$	$3$	$3$
$3$	$4$	$2$	$1$	.	$0$	$0$	$0$
$-$	$3$
	$1$	$2$
$-$	$1$	$2$
		$0$	$1$
	$-$		$0$
			$1$	$0$
			$-$		$9$
					$1$	$0$
				$-$		$9$
						$1$	$0$
					$-$		$9$
							$1$

Step 29

The result of division of $42.1 \div 0.3$ is $140.333 \dots$ .

$140.333 \dots$

	$1$	$4$	$0$
$3$	$4$	$2$	$1$	.	$0$
$-$	$3$
	$1$	$2$
$-$	$1$	$2$
		$0$	$1$
	$-$		$0$
			$1$

	$1$	$4$	$0$
$3$	$4$	$2$	$1$	.	$0$
$-$	$3$
	$1$	$2$
$-$	$1$	$2$
		$0$	$1$
	$-$		$0$
			$1$	$0$

	$1$	$4$	$0$	.	$3$
$3$	$4$	$2$	$1$	.	$0$
$-$	$3$
	$1$	$2$
$-$	$1$	$2$
		$0$	$1$
	$-$		$0$
			$1$	$0$

	$1$	$4$	$0$	.	$3$
$3$	$4$	$2$	$1$	.	$0$
$-$	$3$
	$1$	$2$
$-$	$1$	$2$
		$0$	$1$
	$-$		$0$
			$1$	$0$
			$-$		$9$

	$1$	$4$	$0$	.	$3$
$3$	$4$	$2$	$1$	.	$0$
$-$	$3$
	$1$	$2$
$-$	$1$	$2$
		$0$	$1$
	$-$		$0$
			$1$	$0$
			$-$		$9$
					$1$

	$1$	$4$	$0$	.	$3$
$3$	$4$	$2$	$1$	.	$0$	$0$
$-$	$3$
	$1$	$2$
$-$	$1$	$2$
		$0$	$1$
	$-$		$0$
			$1$	$0$
			$-$		$9$
					$1$

	$1$	$4$	$0$	.	$3$
$3$	$4$	$2$	$1$	.	$0$	$0$
$-$	$3$
	$1$	$2$
$-$	$1$	$2$
		$0$	$1$
	$-$		$0$
			$1$	$0$
			$-$		$9$
					$1$	$0$

	$1$	$4$	$0$	.	$3$	$3$
$3$	$4$	$2$	$1$	.	$0$	$0$
$-$	$3$
	$1$	$2$
$-$	$1$	$2$
		$0$	$1$
	$-$		$0$
			$1$	$0$
			$-$		$9$
					$1$	$0$

	$1$	$4$	$0$	.	$3$	$3$
$3$	$4$	$2$	$1$	.	$0$	$0$
$-$	$3$
	$1$	$2$
$-$	$1$	$2$
		$0$	$1$
	$-$		$0$
			$1$	$0$
			$-$		$9$
					$1$	$0$
				$-$		$9$

	$1$	$4$	$0$	.	$3$	$3$
$3$	$4$	$2$	$1$	.	$0$	$0$
$-$	$3$
	$1$	$2$
$-$	$1$	$2$
		$0$	$1$
	$-$		$0$
			$1$	$0$
			$-$		$9$
					$1$	$0$
				$-$		$9$
						$1$

	$1$	$4$	$0$
$3$	$4$	$2$	$1$	.	$0$
$-$	$3$
	$1$	$2$
$-$	$1$	$2$
		$0$	$1$
	$-$		$0$
			$1$

	$1$	$4$	$0$
$3$	$4$	$2$	$1$	.	$0$
$-$	$3$
	$1$	$2$
$-$	$1$	$2$
		$0$	$1$
	$-$		$0$
			$1$	$0$

	$1$	$4$	$0$	.	$3$
$3$	$4$	$2$	$1$	.	$0$
$-$	$3$
	$1$	$2$
$-$	$1$	$2$
		$0$	$1$
	$-$		$0$
			$1$	$0$

	$1$	$4$	$0$	.	$3$
$3$	$4$	$2$	$1$	.	$0$
$-$	$3$
	$1$	$2$
$-$	$1$	$2$
		$0$	$1$
	$-$		$0$
			$1$	$0$
			$-$		$9$

	$1$	$4$	$0$	.	$3$
$3$	$4$	$2$	$1$	.	$0$
$-$	$3$
	$1$	$2$
$-$	$1$	$2$
		$0$	$1$
	$-$		$0$
			$1$	$0$
			$-$		$9$
					$1$

	$1$	$4$	$0$	.	$3$
$3$	$4$	$2$	$1$	.	$0$	$0$
$-$	$3$
	$1$	$2$
$-$	$1$	$2$
		$0$	$1$
	$-$		$0$
			$1$	$0$
			$-$		$9$
					$1$

	$1$	$4$	$0$	.	$3$
$3$	$4$	$2$	$1$	.	$0$	$0$
$-$	$3$
	$1$	$2$
$-$	$1$	$2$
		$0$	$1$
	$-$		$0$
			$1$	$0$
			$-$		$9$
					$1$	$0$

	$1$	$4$	$0$	.	$3$	$3$
$3$	$4$	$2$	$1$	.	$0$	$0$
$-$	$3$
	$1$	$2$
$-$	$1$	$2$
		$0$	$1$
	$-$		$0$
			$1$	$0$
			$-$		$9$
					$1$	$0$

	$1$	$4$	$0$	.	$3$	$3$
$3$	$4$	$2$	$1$	.	$0$	$0$
$-$	$3$
	$1$	$2$
$-$	$1$	$2$
		$0$	$1$
	$-$		$0$
			$1$	$0$
			$-$		$9$
					$1$	$0$
				$-$		$9$

	$1$	$4$	$0$	.	$3$	$3$
$3$	$4$	$2$	$1$	.	$0$	$0$
$-$	$3$
	$1$	$2$
$-$	$1$	$2$
		$0$	$1$
	$-$		$0$
			$1$	$0$
			$-$		$9$
					$1$	$0$
				$-$		$9$
						$1$

	$1$	$4$	$0$
$3$	$4$	$2$	$1$	.	$0$
$-$	$3$
	$1$	$2$
$-$	$1$	$2$
		$0$	$1$
	$-$		$0$
			$1$

	$1$	$4$	$0$
$3$	$4$	$2$	$1$	.	$0$
$-$	$3$
	$1$	$2$
$-$	$1$	$2$
		$0$	$1$
	$-$		$0$
			$1$	$0$

	$1$	$4$	$0$	.	$3$
$3$	$4$	$2$	$1$	.	$0$
$-$	$3$
	$1$	$2$
$-$	$1$	$2$
		$0$	$1$
	$-$		$0$
			$1$	$0$

	$1$	$4$	$0$	.	$3$
$3$	$4$	$2$	$1$	.	$0$
$-$	$3$
	$1$	$2$
$-$	$1$	$2$
		$0$	$1$
	$-$		$0$
			$1$	$0$
			$-$		$9$

	$1$	$4$	$0$	.	$3$
$3$	$4$	$2$	$1$	.	$0$
$-$	$3$
	$1$	$2$
$-$	$1$	$2$
		$0$	$1$
	$-$		$0$
			$1$	$0$
			$-$		$9$
					$1$

	$1$	$4$	$0$	.	$3$
$3$	$4$	$2$	$1$	.	$0$	$0$
$-$	$3$
	$1$	$2$
$-$	$1$	$2$
		$0$	$1$
	$-$		$0$
			$1$	$0$
			$-$		$9$
					$1$

	$1$	$4$	$0$	.	$3$
$3$	$4$	$2$	$1$	.	$0$	$0$
$-$	$3$
	$1$	$2$
$-$	$1$	$2$
		$0$	$1$
	$-$		$0$
			$1$	$0$
			$-$		$9$
					$1$	$0$

	$1$	$4$	$0$	.	$3$	$3$
$3$	$4$	$2$	$1$	.	$0$	$0$
$-$	$3$
	$1$	$2$
$-$	$1$	$2$
		$0$	$1$
	$-$		$0$
			$1$	$0$
			$-$		$9$
					$1$	$0$

	$1$	$4$	$0$	.	$3$	$3$
$3$	$4$	$2$	$1$	.	$0$	$0$
$-$	$3$
	$1$	$2$
$-$	$1$	$2$
		$0$	$1$
	$-$		$0$
			$1$	$0$
			$-$		$9$
					$1$	$0$
				$-$		$9$

	$1$	$4$	$0$	.	$3$	$3$
$3$	$4$	$2$	$1$	.	$0$	$0$
$-$	$3$
	$1$	$2$
$-$	$1$	$2$
		$0$	$1$
	$-$		$0$
			$1$	$0$
			$-$		$9$
					$1$	$0$
				$-$		$9$
						$1$