Chapter 6 - Section 6.4 - Dividing Polynomials: Long Division and Synthetic Division - Exercise Set - Page 370: 20

$x^3+\dfrac{7}{3}x^2+7x+22+\dfrac{66}{x-3}$

Using the long division method below, then \begin{array}{l}\require{cancel}\left( x^4-\dfrac{2}{3}x^3+x \right)\div( x-3 )\\= x^3+\dfrac{7}{3}x^2+7x+22+\dfrac{66}{x-3} .\end{array}