To divide and simplify the expression \( \frac{h^{-3}}{h^{-6}} \), we can use the properties of exponents. When dividing two exponents with the same base, we subtract the exponents:
\[ \frac{h^{-3}}{h^{-6}} = h^{-3 - (-6)} = h^{-3 + 6} = h^{3} \]
Now we have:
\[ h^{3} \]
Since the question asks us to use positive exponents only, the final answer is:
\[ h^{3} \]