8 x cubed -7 x squared + 10 x - 5 divided by 2 X + 1

using the usual notation, you have

(8x^3 - 7x^2 + 10x - 5)/(2x+1)
That would give a quotient and remainder of Q(x) and R(x)
where
Q(x) = 4x^2 - 11/2 x + 31/4
R(x) = - 51/4

there are many useful long-division sites online to see the steps