Please correct my work. Using long division,simplify (8b^3-6),devided by (2b-1)

Question

My solution is:
4b^2+2b+1
----------------
8b^3 -6
8b^3-4b^2
-----------------
4b^2-6
4b^2-2b
------------------
2b-6
2b-1
-------------------
-5

Answer 1

( 8 b ^ 3 - 6 ) / ( 2 b - 1 ) =

4 b ^ 2 + 2 b + 1 - 5 / ( 2 b - 1 )

Answer 2

a good place to check your work is

http://calc101.com/webMathematica/long-divide.jsp