Find the Quotient ((6u^11v^6)(11u^5v))/(-44u^11v^12)

Set up the polynomials to be divided. If there is not a term for every exponent, insert one with a value of ${\displaystyle 0}$.

Divide the highest order term in the dividend ${\displaystyle 66u^{16}{v}^7}$ by the highest order term in divisor ${\displaystyle -44v^{12}{u}^{11}}$.

Multiply the new quotient term by the divisor.

The expression needs to be subtracted from the dividend, so change all the signs in ${\displaystyle 66u^{16}{v}^7+0+0+0+0+0+0+0+0+0+0+0}$

After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.

Pull the next terms from the original dividend down into the current dividend.