1. **State the problem:** We need to estimate the quotient of 54 divided by 382. 2. **Recall the division formula:** The quotient is given by $$\frac{54}{382}$$. 3. **Estimate the quotient:** Since 54 is much smaller than 382, the quotient will be less than 1. 4. **Simplify the fraction by dividing numerator and denominator by 2:** $$\frac{\cancel{54}{}^{27}}{\cancel{382}{}^{191}}$$ 5. **Estimate the decimal value:** Since 27 is much smaller than 191, the quotient is approximately $$\frac{27}{191} \approx 0.141$$. 6. **Final answer:** The estimated quotient of 54 divided by 382 is approximately **0.14**.