Oli Shaw scored twice for Neil Lennon's side, with Simon Murray, David Gray, Steven Whittaker and Lewis Allan also on target.
Aberdeen defeated Falkirk 1-0 at Gayfield and Raith Rovers beat Fife rivals Dunfermline Athletic 2-1 at Bayview. Elgin City won 2-0 away to Clachnacuddin of the Highland League and Stirling Albion beat East Kilbride by the same score at K-Park.