1. Division of a Monomial by another Monomial

2. Monomial
An algebraic expression which contains only one term
is known as Monomial 
Example : 2x, 3x2, 4t, 9p2q, -8mn2
While dividing monomials by another monomial, do the following steps
Step1:- Write the question in fraction form
Step2:- Split the terms in both the numerator and denominator
Step3:- Simplify the constant in both numerator and denominator
and cancel out each pair of variables in both numerator and denominator
Step4:- Multiply the remaining constant and variable in numerator and denominator

3. Example 1: Solve 3x4 ÷ x2y Solution 3x4 3x4 ÷ x2y = x2y
Step1:- Write the question in fraction form
3x4
x2y
3x4 ÷ x2y =
Step2:- Split the terms in both the numerator and denominator
3 x x x x x x x x
x x x x y
Step3:- Simplify the constant in both numerator and denominator
and cancel out each pair of variables in both numerator and denominator
3 x x x x x x x x
x x x x y
= 3 x x x x y
Step4:- Multiply the remaining constant and variable in numerator and denominator
= 3x2 y

4. Example 2: Solve 9x3 ÷ 3x2 Solution 9x3 9x3 ÷ 3x2 = 3x2 9 x x x x x x
Step1:- Write the question in fraction form
9x3
3x2
9x3 ÷ 3x2 =
Step2:- Split the terms in both the numerator and denominator
9 x x x x x x
3 x x x x
Step3:- Simplify the constant in both numerator and denominator
and cancel out each pair of variables in both numerator and denominator 3
9 x x x x x x
3 x x x x
= 3 x x
Step4:- Multiply the remaining constant and variable in numerator and denominator
= 3x

5. Try these
1.) 27x2 ÷ 9x
2) (-x5z9) ÷ (-xz3)