Turn based chess is also known as Online Chess or Correspondence Chess.
Each player gets from 1-14 days to make a move, depending on the configured 'Time Per Move' for that game. This allows for a lot of flexibility in terms of when you make your moves.
If you do not make a move within your allowed time, you lose. You can play as many simultaneous games as you like. If your opponent is online and playing, you can even play in "real time" - just like a slow casual game at the chess club. :)
For further details on how to start an echess game and more, check out this article.
Keywords: echess basics turn-based correspondence