Captain Lee McCulloch scored twice from the penalty spot and once from open play as the hosts wrapped up the scoring at Ibrox before half-time.
Rangers, Scottish champions a record 54 times, were forced to relaunch from the fourth tier in 2012 after collapsing under a pile of debt, a fall from grace which sent shockwaves through the Scottish game.
The Glasgow club, who secured immediate promotion from the fourth tier last season, claimed back-to-back titles after winning 26 and drawing two of their 28 games as they built an unbeatable 26-point lead over second-placed Dunfermline.
The success came as a welcome relief for manager Ally McCoist after the team came in for criticism following Sunday's lacklustre 1-1 draw with League Two Albion Rovers in the Scottish Cup quarter-finals.
Rangers ran up an operating loss of £14 million last season and have been subject to off-field struggles involving the board and investors as they seek further funds.
- Sports & Recreation