1. **State the problem:** Solve for $x$ in the equation $3.8 = \frac{x}{7}$.\n\n2. **Formula and rule:** To solve for $x$ when it is divided by 7, multiply both sides of the equation by 7 to isolate $x$.\n\n3. **Multiply both sides by 7:**\n$$3.8 = \frac{x}{7}$$\n$$3.8 \times 7 = \frac{x}{7} \times 7$$\n$$3.8 \times \cancel{7} = x \times \cancel{\frac{1}{7}}$$\n\n4. **Calculate the multiplication:**\n$$x = 3.8 \times 7 = 26.6$$\n\n5. **Final answer:**\n$$x = 26.6$$