Expected draws until the first ace

Cards are turned over one at a time from a well-shuffled standard 52-card deck. On average, how many cards have been turned over at the moment the first ace appears (counting that ace)?

$10.6$. The four aces split the 48 other cards into 5 gaps, and by symmetry each gap holds $48/5$ cards on average. The first ace comes right after the first gap, so the expected count is $\tfrac{48}{5}+1=10.6$.