Basic Math Examples

238.75 \div 10.5

$238.75 \div 10.5$

Step 1

Set up the division problem in long division format.

1

$1$

0

$0$

5

$5$

0

$0$

2

$2$

3

$3$

8

$8$

7

$7$

5

$5$

Step 2

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

1

$1$

0

$0$

5

$5$

0

$0$

2

$2$

3

$3$

8

$8$

7

$7$

5

$5$

Step 3

Divide

2387

$2387$ by

1050

$1050$ . Place this digit in the quotient on top of the division symbol.

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

Step 4

Multiply the newest quotient digit

(2)

$(2)$ by the divisor

1050

$1050$ .

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

Step 5

Subtract

2100

$2100$ from

2387

$2387$ .

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

Step 6

Bring down the next number of the dividend.

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

Step 7

Divide

2875

$2875$ by

1050

$1050$ . Place this digit in the quotient on top of the division symbol.

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

Step 8

Multiply the newest quotient digit

(2)

$(2)$ by the divisor

1050

$1050$ .

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

Step 9

Subtract

$2100$ from

$2875$ .

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

Step 10

Add a

$0$ to the end of the dividend.

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

Step 11

Bring down the next number of the dividend.

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

Step 12

Divide

$7750$ by

$1050$ . Place this digit in the quotient on top of the division symbol.

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

Step 13

Multiply the newest quotient digit

$(7)$ by the divisor

$1050$ .

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

Step 14

Subtract

$7350$ from

$7750$ .

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

Step 15

Add a

$0$ to the end of the dividend.

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

Step 16

Bring down the next number of the dividend.

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

Step 17

Divide

$4000$ by

$1050$ . Place this digit in the quotient on top of the division symbol.

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

Step 18

Multiply the newest quotient digit

$(3)$ by the divisor

$1050$ .

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

Step 19

Subtract

$3150$ from

$4000$ .

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

Step 20

Add a

$0$ to the end of the dividend.

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

Step 21

Bring down the next number of the dividend.

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

Step 22

Divide

$8500$ by

$1050$ . Place this digit in the quotient on top of the division symbol.

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

Step 23

Multiply the newest quotient digit

$(8)$ by the divisor

$1050$ .

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

Step 24

Subtract

$8400$ from

$8500$ .

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

Step 25

The result of division of

$238.75 \div 10.5$ is

$22.738 \dots$ .

$22.738 \dots$

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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