1. Long Division

Divide x^4 - x^3 -7x + 84 by x^2 - 3

I keep getting the following answer:

(x^2 - x) + (-10x + 84)/(x^2 - 3)

However, this is not right.

Can you help me step by step?

The red part is my remainder.

Why am I doing wrong?

2. Code:
            x^2  -  x     +   3
-----------------------------------
x^2 - 3  |  x^4  -  x^3  +  0x^2  -  7x  +  84
x^4          -  3x^2
------------------------
-  x^3   +  3x^2  -  7x  +  84
-  x^3            +  3x
-------------------------------
3x^2  -  10x   +  84
3x^2         -    9
--------------------
-  10x   +  93

3. now...

Now I see what I did wrong.