long division 2 (4p^3+4p^2+p)/9p^2

I know how to solve algebra 2 problems using long division...but i wasn't sure how you would solve this problem with a coefficient infront of the x- value of the possible factor.
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1 Answer

(4p^3 +4p^2 +p)/9p^2

=(4/9)p +(4/9) +1/9p

......
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