The division of the functions is:

$\frac{x^4}{x}$

To simplify:

1. Subtract the exponents of $x$ (since the base is the same):

$x^{4-1} = x^3$

Thus, the simplified expression is:

$x^3$

Would you like further details or have any questions?

Related Questions:

1. What happens when you divide $x^5$ by $x^2$?
2. How would you handle a division like $\frac{x^3}{x^3}$?
3. What happens if $x = 0$ in the expression $\frac{x^4}{x}$?
4. How do you divide polynomials with different degrees?
5. How does exponentiation apply when multiplying or dividing functions?

Tip: When dividing powers with the same base, subtract the exponents!