1. The problem asks for the quotient of $-24 \div 6$. 2. The quotient is the result of division, so we use the division operation. 3. Division rule: When dividing a negative number by a positive number, the quotient is negative. 4. Calculate the quotient: $$-24 \div 6 = -\frac{24}{6}$$ 5. Simplify the fraction: $$-\frac{\cancel{24}}{\cancel{6}} = -4$$ 6. Therefore, the quotient of $-24 \div 6$ is $-4$.