1. **State the problem:** We are given a total cost of 522, which is the sum of a package cost of 314 and 26 times the cost of an exploration kit. We need to find the cost of one exploration kit. 2. **Set up the equation:** Let $x$ be the cost of one exploration kit. The total cost equation is: $$314 + 26x = 522$$ 3. **Solve the equation:** Subtract 314 from both sides: $$26x = 522 - 314$$ $$26x = 208$$ 4. **Divide both sides by 26 to isolate $x$:** $$x = \frac{208}{26}$$ 5. **Simplify the fraction:** $$x = 8$$ 6. **Interpret the result:** The cost of one exploration kit is 8. **Final answer:** The cost of each exploration kit is $8$.