Question 297330
Polynomial long division is difficult to show. 
If it's not clear email me and I can send you a PDF that's clearer. 

.............3x+4
(x-2)|(3x^2-2x-13)
..........-..3x^2-6x
---------------------
.......................4x-13
...................-...4x-8
---------------------
..............................-5

{{{(3x^2-2x-13)/(x-2)=3x+4-5/((x-2))}}}