So far, when we've been doing these long division things, we've gotten a nice 0 at the end.

This means that the divisor polynomial went into the other guy cleanly -- no remainder.

As you can imagine, things only work out nicely like this when math teachers design them this way!

So, we're going to need to learn to deal with remainders.

Let's do a really basic review:

For the second one, we're really doing this:

We officially write it like this:

Remember? Well, it works the same way with polynomials.