1. **State the problem:** The family has $\frac{4}{5}$ of a turkey left and wants to divide it evenly among 4 family members. 2. **Formula used:** To find how much each person gets, divide the total amount of turkey by the number of people: $$\text{Amount per person} = \frac{\text{Total turkey}}{\text{Number of people}}$$ 3. **Apply the formula:** $$\text{Amount per person} = \frac{\frac{4}{5}}{4}$$ 4. **Simplify the division:** Dividing by 4 is the same as multiplying by $\frac{1}{4}$: $$\frac{4}{5} \times \frac{1}{4} = \frac{4 \times 1}{5 \times 4} = \frac{4}{20}$$ 5. **Simplify the fraction:** $$\frac{4}{20} = \frac{1}{5}$$ 6. **Conclusion:** Each family member will get $\frac{1}{5}$ of the original turkey.