Rewrite the expression in long division form .

Divide the first term of the dividend by the first term of the divisor

So the first term of the quotient is 3z³. Multiply the (z + 3) by 3z³ and subtract.

Divide the first term of the next row by the first term of the divisor

So the next term of the quotient is . Multiply the (z + 3) by and subtract.

Divide the first term of the next row by the first term of the divisor

So the next term of the quotient is 36z. Multiply the (z + 3) by 36z and subtract.

Divide the first term of the next row by the first term of the divisor

So the next term of the quotient is –105. Multiply the (z + 3) by –105 and subtract.

The quotient is  – x – 8, and the remainder is – 8. Therefore,

.