Posted by Kiki on .
When mn+m^230n^2 is divided by m5n, what is the quotient. Thank you

Math 
Steve,
what is (m5n)(m+6n)/(m5n) ?
Don't be put off by the extra variable. You can easily factor
m^2+m30, right? That's what you have if n=1. 
Math 
Kiki,
I don't understand. Then what is the final answer

Math 
Steve,
ahem
(m5n)(m+6n)/(m5n) = m+6n
!! 
Math 
Steve,
There is an interesting video showing how to do long division with two variables at
http://www.mathsisfun.com/algebra/polynomialsdivisionlong.html
Scroll most of the way down the page to where the heading is "More than One Variable".
Follow its method using your problem and it should become clear. 
Math 
Kiki,
Thanks