Algebraic division :S

i have no idea what the method is to solve an algebraic division question i have notes in my book but make no sense to me.

could you show working and explain the method to each step thanks

Divide:

a) x³ - 4x² + x + 5 by x + 4
b) x³ - 4x² + 4x by x - 5

a)
The process is similar to division with numbers. See the link below for a step-by-step explanation.
Step 1: What times (x + 4) gives you approximately x^3? Answer: x^2

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

Step 2: What times (x + 4) gives you approximately (-8x^2 + x )? Answer: -8x

.................x^2 - 8x
.............--------------------------…
( x + 4 ) | ( x^3 - 4x^2 + x + 5 )
.............- ( x^3 + 4x^2 )
...............-------------------
...............-8x^2 + x
............ - (8x^2 - 32x )
..............-----------------------
......................... 33x + 5

Step 3: What times (x + 4) gives you approximately 33x + 5? Answer: 33

.................x^2 - 8x + 33
.............--------------------------…
( x + 4 ) | ( x^3 - 4x^2 + x + 5 )
.............- ( x^3 + 4x^2 )
...............-------------------
...............-8x^2 + x
............ - (8x^2 - 32x )
..............-----------------------
......................... -33x + 5
......................... - (33x + 132)
..........................-------------…
.................................... -127

The remainder is -127

Answer:
x^2 - 8x + 33 - (127 / ( x + 4 ) )

b)
The process is similar to a)
Answer:

x^2 + x + 9 + ( 45 / ( x - 5 ) )

you have to do it using long division i think !
have a look at this and try to follow the steps:
http://www.purplemath.com/modules/polydiv2.htm

hope i helped :P