How to divide certain polynomials? Can somebody help me with this question?
$$\frac{15p^3+16p^2+46}{3p+5}$$
For some reason I can't wrap my head around the process used to divide polynomials, I can do long division but every time somebody explains the long division of polynomials to me I can't understand it whatsoever.

Step one:  Find $x$ such that the first term of your divisor ($3p$) times x equals the first term of the dividend $15p^3$ (it is $x=5p^2$).
Step two: multiply $3p+5$ by $x$ (here we get $15p^3-25p^2$)
step three: subtract the result from step 2 from your dividend.
Step four: Repeat steps 1-3 with your result from step 3 until the power of $p$ in your divisor (here it is 1) exceeds the power of $p$ in your result from step 3. (what is left is called the remainder)
