How to do long division of polynomials?

Divide 3x3 – 5x2 + 10x – 3  by  3x + 1

This division did not come out even. What am I supposed to do with the remainder? Think back to when you did long division with plain numbers. Sometimes there would be a remainder; for instance, if you divide 132 by 5:
...there is a remainder of 2. Remember how you handled that? You made a fraction,