Divide Using Partial Quotients Division 367/14

$\frac{367}{14}$

Step 1

Set up the problem in partial quotients division format.

$1$

$4$

$3$

$6$

$7$

Step 2

Multiply $14$ by $10$ .

$1$	$4$	$3$	$6$	$7$
	$-$	$1$	$4$	$0$			\xa0	$1$	$0$

Step 3

Subtract $140$ from $367$ .

$1$	$4$	$3$	$6$	$7$
	$-$	$1$	$4$	$0$			\xa0	$1$	$0$
		$2$	$2$	$7$

Step 4

Multiply $14$ by $10$ .

$1$	$4$	$3$	$6$	$7$
	$-$	$1$	$4$	$0$			\xa0	$1$	$0$
		$2$	$2$	$7$
	$-$	$1$	$4$	$0$			\xa0	$1$	$0$

Step 5

Subtract $140$ from $227$ .

$1$	$4$	$3$	$6$	$7$
	$-$	$1$	$4$	$0$			\xa0	$1$	$0$
		$2$	$2$	$7$
	$-$	$1$	$4$	$0$			\xa0	$1$	$0$
			$8$	$7$

Step 6

Multiply $14$ by $5$ .

$1$	$4$	$3$	$6$	$7$
	$-$	$1$	$4$	$0$			\xa0	$1$	$0$
		$2$	$2$	$7$
	$-$	$1$	$4$	$0$			\xa0	$1$	$0$
			$8$	$7$
		$-$	$7$	$0$			\xa0		$5$

Step 7

Subtract $70$ from $87$ .

$1$	$4$	$3$	$6$	$7$
	$-$	$1$	$4$	$0$			\xa0	$1$	$0$
		$2$	$2$	$7$
	$-$	$1$	$4$	$0$			\xa0	$1$	$0$
			$8$	$7$
		$-$	$7$	$0$			\xa0		$5$
			$1$	$7$

Step 8

Multiply $14$ by $1$ .

$1$	$4$	$3$	$6$	$7$
	$-$	$1$	$4$	$0$			\xa0	$1$	$0$
		$2$	$2$	$7$
	$-$	$1$	$4$	$0$			\xa0	$1$	$0$
			$8$	$7$
		$-$	$7$	$0$			\xa0		$5$
			$1$	$7$
		$-$	$1$	$4$			\xa0		$1$

Step 9

Subtract $14$ from $17$ .

$1$	$4$	$3$	$6$	$7$
	$-$	$1$	$4$	$0$			\xa0	$1$	$0$
		$2$	$2$	$7$
	$-$	$1$	$4$	$0$			\xa0	$1$	$0$
			$8$	$7$
		$-$	$7$	$0$			\xa0		$5$
			$1$	$7$
		$-$	$1$	$4$			\xa0		$1$
				$3$

Step 10

Add all of the multipliers together.

$1$	$4$	$3$	$6$	$7$
	$-$	$1$	$4$	$0$			\xa0	$1$	$0$
		$2$	$2$	$7$
	$-$	$1$	$4$	$0$			\xa0	$1$	$0$
			$8$	$7$
		$-$	$7$	$0$			\xa0		$5$
			$1$	$7$
		$-$	$1$	$4$		$+$	\xa0		$1$
				$3$				$2$	$6$

Step 11

The result of division of $\frac{367}{14}$ is $26$ with a remainder of $3$ .

$26$ $r$ $3$

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