Celtic and Motherwell beat Aberdeen and Inverness respecively while Kilmarnock and Hearts were held.
Gordon Strachan's men wrapped up Saturday's early Scottish Premier League contest inside the first 20 minutes at Pittodrie.
It took the SPL champions just nine minutes to break the deadlock in The Granite City, as Shunsuke Nakamura's incisive pass allowed Craig Beattie to race clear down the right flank.
Beattie then slipped a fine finish past Dons goalkeeper Jamie Langfield to give the visitors the lead.
The Old Firm giants doubled their lead on 20 minutes after Jan Vennegoor of Hesselink was fouled near the edge of Aberdeen's box by Russell Anderson.
Nakamura took charge of the free-kick opportunity and curled a superb left-foot set-piece past Langfield for a two-goal lead at the break.
Aderdeen made the final moments of the game interesting when Langfield's long clearance forward was flicked on by Lee Miller and into the path of Darren Mackie.
He raced in unmarked on Celtic's goal and slipped the ball through Bhoys goalkeeper Artur Boruc's legs to mark the scoreline more respectable.
Elsewhere, Scott McDonald netted the only goal of the game as Motherwell secured their ninth win of the league campaign with a 1-0 success over Inverness.
St Mirren will consider it a point gained despite being pegged back by Hearts.
Stephen O'Donnell fired The Buddies ahead, but Ghana international Laryea Kingston levelled the contest on 71 minutes.
Bottom of the table Dunfermline came from behind to claim a point at home to 10-man Kilmarnock.
Steven Naismith fired the visitors ahead, but The Pars were given the chance to level the match from the penalty spot.
Adam Hammill was hauled down by Simon Ford in the box and after he was sent off, Stephen Crawford netted as the spoils were shared.