Question 891201
Do exactly the same as you would for long division of decimal or whole numbers.  Rearrange the dividend as {{{8p^3+9p^2+0*p+12}}}.  Just as in ordinary long division you process one digit at a time, you must process one degree term at a time in polynomial long division.


{{{8p^3/p=8p^2}}}.

{{{8p^2(p+1)=8p^3+8p^2}}}.

{{{8p^3+9p^2-(8p^3+8p^2)=p^2}}}.


Next bring down the next term, so the partial dividend is {{{p^2+0*p}}}.
What is {{{p^2/p}}}?
Continue the process!