Burns 3', Omerod 15', 34', Clarke 23', Olgeby 31', Hunt 76'
Dartford got off to the perfect start when Lee Burns scored his second goal of the season after two minutes.
Wrexham levelled when Brett Ormerod's deflected shot beat Tommy Forecast, before Joe Clarke put them ahead.
Goals from Rob Ogleby and Ormerod extended Wrexham's lead before Johnny Hunt added a fifth in the second half.
Andy Morrell's side are now 15th in the Conference Premier following their second away league win of the season.