float into something
1. Lit. to move on water or in air into something. The huge cruise ship floated majestically into the harbor. The kite floated into a tree and was ruined.
2. Fig. to move into something gently, as if floating. She floated into the room, looking like Cinderella before midnight. Tom and Gloria floated into the theater like a king and queen. They must have rehearsed it.