### Theory:

When dividing a monomial by a monomial, we divide their coefficients and we divide the exponents with equal bases.
Important!
Remember:

$\begin{array}{l}{a}^{n}:{a}^{m}={a}^{n-m\phantom{\rule{0.147em}{0ex}}}\\ \\ \frac{{a}^{n}}{{a}^{m}}={a}^{n-m\phantom{\rule{0.147em}{0ex}}}\end{array}$
Example:
Divide the monomials $8{x}^{2}{y}^{6}:\phantom{\rule{0.147em}{0ex}}4x{y}^{3}$
1) If the variable factor exponent is not specified, it is always $$1$$.

2) Divide the coefficients and the exponents with equal bases. When you divide the exponents, you actually subtract them.

3) You may choose not to write the multiplication operators (or signs). If the variable factor exponent is $$1$$, we usually do not write it.

The quotient of the given monomials is:

Example:
Divide the monomials $-\phantom{\rule{0.147em}{0ex}}3{m}^{6}{n}^{2}:6m{n}^{2}$

If the exponent is $$0$$, then the value of the factor exponent is $$1$$, that is ${n}^{0}=\phantom{\rule{0.147em}{0ex}}1$