Dillard is an American department store chain with approximately 292 stores in 29 states and headquartered in Little Rock and Arkansas.The largest number of stores are located in Florida with 42 and Texas with 57 but it also has stores in 27 more states.Dillard is an American department store chain with approximately 292 stores in 29 states and headquartered in Little Rock and Arkansas.The largest number of stores are located in Florida with 42 and Texas with 57 but it also has stores in 27 more states.