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Sponsored Topics. Dillon is a home rule municipality in Summit County, Colorado, United States. The population was 802 at the 2000 census. Dillon is located at 39Â°37â²40â³N 106Â°2â²39â³W / 39.62778Â°N 106.04417Â°W / 39.62778; -106.04417 (39.627659, -106.044199).