Hello,
We need to divide polynomials, I will try to specify each step
First of all, we need to divide

by
9x+5
First focus on the highest degree term, we need to multiply (9x+5) by

so that we get
this is to eliminate the term in highest degree
and then subtract to the first polynomial we got

and then we need to divide this one by (9x+5) again

and then

finally

so the rest is 0
Finally it comes

hope this helps