yo , so heres the problem :

I understand basic divisions and i can do X³ + 7x² - 36 / -x + 3 .... with no problem.

But i just cant figure out what to do with the one in the image.

first step i try is multiply with x^5 to get x^8 ... but we get 2x^8 .... so when i substract i get -x^8 + 3x^6 ...... which kinda leads me in an infinite loop ?

the question is : what is the rest.

Any tip or documentation will be greatly appreciated.

thanks, dave