I believe you could describe how happy the person would be that they had won the lottery, and that they would want to claim it as soon as possible. So they drive a bit fast to the grocery, taking every shortcut they could to get there sooner. Then, when the person arrives at the grocery store, they might push through crowds of shoppers to receive their winnings at the lottery booth. They could also be calling their family and friends about how they won.
Hope this gave you a good idea on what to write!
