How do I divide polynomials by using long division?
Here's an example, dividing
Long division of polynomials is similar to long division of numbers...
Write the dividend under the bar and the divisor to the left of the bar.
Start writing the quotient above the bar, choosing the first term
Then write the product of the first term by the divisor under the dividend and subtract it to get a remainder
Bring down the next term from the dividend alongside it to form your running remainder
Then choose the next term
Write the product under the remainder and subtract to get the next remainder, etc.
Repeat until the running remainder is of lower degree than the divisor and there are no more terms to bring down from the dividend.
In this particular example, the division is exact, so you are left with no remainder at the end.