There are 16 US Post Offices in Muskingum County serving a total of 142,558 residents equating to 8,910 residents per post office. It's estimated that approximately 227,538 packages are handled across the 16 county post offices annually. Muskingum County is a county located in the U.S. state of Ohio. As of the 2010 census, the population was 86,074. Its county seat is Zanesville. Nearly bisected by the Muskingum River, the county name is based on a Delaware American Indian word translated as \"town by the river\" or \"elk's eye\". Muskingum County comprises the Zanesville, OH Micropolitan Statistical Area, which is also included in the Columbus-Marion-Zanesville, OH Combined Statistical Area."