1. Stating the problem: Calculate the value of $\frac{-1000}{-10}$.\n\n2. Simplify the division: Dividing a negative number by another negative number results in a positive number.\n\n3. Calculate the quotient ignoring signs: $\frac{1000}{10} = 100$.\n\n4. Apply the sign rule: Since both numerator and denominator are negative, the result is positive.\n\n5. Final answer: $$\frac{-1000}{-10} = 100$$.