Examples

$\frac{x^{2} + 9}{x + 3}$

Step 1

Place the numbers representing the divisor and the dividend into a division-like configuration.

$- 3$	$1$	$0$	$9$

Step 2

The first number in the dividend

$(1)$ is put into the first position of the result area (below the horizontal line).

Step 3

Multiply the newest entry in the result

$(1)$ by the divisor

$(- 3)$ and place the result of

$(- 3)$ under the next term in the dividend

$(0)$ .

Step 4

Add the product of the multiplication and the number from the dividend and put the result in the next position on the result line.

Step 5

Multiply the newest entry in the result

$(- 3)$ by the divisor

$(- 3)$ and place the result of

$(9)$ under the next term in the dividend

$(9)$ .

Step 6

Add the product of the multiplication and the number from the dividend and put the result in the next position on the result line.

Step 7

All numbers except the last become the coefficients of the quotient polynomial. The last value in the result line is the remainder.

$(1) x - 3 + \frac{18}{x + 3}$

Step 8

Simplify the quotient polynomial.

$x - 3 + \frac{18}{x + 3}$

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