# How do you find the quotient #(3q^2+20q+11)div(q+6)# using long division?

##### 2 Answers

This is the same as long division. The only difference to the traditional method is the format.

#### Explanation:

Please see the explanation.

#### Explanation:

Given:

Find the first term in the quotient by dividing first term in the dividend by the first term in the divisor:

Write the first term in the quotient:

Multiply that term by the divisor

Find the next term in the quotient by dividing the first non-zero term in the results of the subtraction by the first term in the divisor:

Write this term into the quotient:

Multiply that term by the divisor

Because the power of the divisor is greater than the power of the results of the subtraction, we know that we are done and that

The quotient can be expressed as: