HDQ Inc - Dairy Queen Hawaii is an Ice-cream shop and fast-food restaurant franchise founded and locally owned by P. Mehring. However Dairy Queen is not new to Hawaii; the first Dairy Queen location was on Li'iha Street on Oahu in 1949. Today, the DQ® system is one of the largest fast food systems in the world, with more than 6,000 restaurants in the United States, Canada and 18 other countries. Today there are more than a dozen Dairy Queen / Orange Julius locations throughout the Hawaiian Islands.