1. **State the problem:** Sharon has 71 marbles and fills tins with 6 marbles each, with 5 marbles left over. We need to find how many tins she filled. 2. **Set up the equation:** Let $x$ be the number of tins filled. Each tin has 6 marbles, so total marbles used in tins is $6x$. The leftover marbles are 5. The total marbles are 71. 3. **Write the equation:** $$6x + 5 = 71$$ 4. **Solve for $x$:** $$6x = 71 - 5$$ $$6x = 66$$ 5. **Divide both sides by 6:** $$x = \frac{66}{6}$$ $$x = 11$$ 6. **Interpretation:** Sharon filled 11 tins with 6 marbles each, and 5 marbles were left over. **Final answer:** $$\boxed{11}$$