1. **State the problem:** We need to find the quotient of dividing 36.4 by 2.8. 2. **Recall the division formula:** $$\text{Quotient} = \frac{\text{Dividend}}{\text{Divisor}}$$ where the dividend is 36.4 and the divisor is 2.8. 3. **Set up the division:** $$\frac{36.4}{2.8}$$ 4. **To simplify, multiply numerator and denominator by 10 to remove decimals:** $$\frac{36.4 \times 10}{2.8 \times 10} = \frac{364}{28}$$ 5. **Simplify the fraction:** Find the greatest common divisor (GCD) of 364 and 28. - 28 divides into 364 exactly 13 times because $28 \times 13 = 364$. 6. **Therefore:** $$\frac{364}{28} = 13$$ 7. **Final answer:** The quotient of 36.4 divided by 2.8 is **13**.