There are 5 US Post Offices in Daviess County serving a total of 28,475 residents equating to 5,695 residents per post office. It's estimated that approximately 45,449 packages are handled across the 5 county post offices annually. Daviess County /\u02c8de\u026avi\u02d0z/ is a county located in the U.S. state of Indiana. As of 2010, the population was 31,648. The county seat is Washington."