1. State the problem: Simplify the expression $$\frac{-8 \cdot 10^{7}}{-4 \cdot 10^{6}}$$. 2. Separate the constants and the powers of 10: $$\frac{-8}{-4} \times \frac{10^{7}}{10^{6}}$$. 3. Simplify the constants: $$\frac{-8}{-4} = 2$$ because dividing negative by negative gives positive. 4. Simplify the powers of 10 using the quotient rule $$\frac{10^{a}}{10^{b}} = 10^{a-b}$$: $$10^{7-6} = 10^{1} = 10$$. 5. Multiply the simplified parts: $$2 \times 10 = 20$$. 6. Therefore, the simplified expression is: $$\boxed{20}$$.