Welcome to Hotel Club Quarters in Washington DC Washington, Club Quarters in Washington DC is a new concept for the hotel industry. This private, full service hotel overlooks Farragut Square, and is 2 blocks north of the White House, and near Lafayette Square. It is also a short walk to all the monuments, museums, and Washington DC city centre, as well as fine dining, world class shopping, and entertainment. (Hotel Club Quarters in Washington DC Washington hotels booking).