Hat-trick star Lewis Moody scored one of the quickest tries in Leicester's 126-year history as Tigers blitzed hapless Bourgoin at Welford Road.
England flanker Moody's opening touchdown - after just 29 seconds - set the tone for a Pool Four romp which kept Leicester on course to reach the Heineken Cup quarter-finals.
Their last-eight hopes are now hurtling towards a showdown with reigning European champions Munster in Limerick next month, but Bourgoin have once again made a shambolic tournament exit.
The French club's fourth successive pool defeat was signed, sealed and settled well before half-time as scrum-half Harry Ellis, flanker Shane Jennings and centre Daryl Gibson all followed Moody's example.
Leading 29-0 at the break, the second period proved little more than a training exercise for Leicester ahead of a busy Christmas Guinness Premiership period which features appointments with Bristol, London Irish and Saracens during a demanding 11-day schedule.
Bourgoin, on the ropes at half-time, hardly needed speed merchant Tom Varndell's arrival off the replacements' bench, and his first touch resulted in a 70-metre try created by fellow wing Geordan Murphy's exquisite pass.
Moody then scored two tries in two minutes to complete his treble before making way for Brett Deacon after 62 minutes, but Leicester had already registered a half-century, assisted by fly-half Andy Goode's 17-point haul.
Bourgoin, not for the first time, proved a tournament embarrassment, and watching European Rugby Cup chief executive Derek McGrath could not have been impressed by their abject surrender.
Leicester though, have no such worries, and their trip to Ireland on the third weekend of January will undoubtedly rank among the great Heineken Cup occasions.
Cardiff Blues are next up for them in the competition at Welford Road, yet in the meantime Tigers can happily reflect on a landslide success - their biggest win against French opposition in Heineken Cup history.
Leicester boss Pat Howard made four changes from the side that triumphed in Bourgoin last week, while Bourgoin left out fly-half Benjamin Boyet and skipper Julien Bonnaire, seemingly having given up the ghost after three successive defeats.
The French club had to go back more than four years for their last Heineken Cup away win, while two victories from the last 17 European starts confirmed Leicester's status as red-hot favourites.
And that mantle was justified inside the first half minute as Leicester scored from their first attack when full-back Sam Vesty's clean catch created an attacking platform which made space for Moody to sprint 30 metres and score.
Goode slotted the touchline conversion, and Leicester were up and running in their pursuit of a bonus-point victory.
Bourgoin were clueless in defence, where wing Glenn Davis' weakness was ruthlessly exposed when Ellis darted clear for Leicester's second try, before the visitors' scrum crumpled under pressure and Jennings claimed another score.
Leicester led 22-0 after 18 minutes, and with Bourgoin's collective finger already in the dam, Tigers monopolised possession and territory.
The bonus point score duly arrived eight minutes before half-time - and it came following a farcical blunder by Sebastien Laloo, who dropped a simple pass behind his own line.
Laloo's error handed Leicester a short-range scrum from which ball was eventually recycled to Gibson, who crashed over.
Goode's third successful conversion underlined a case of job done for Leicester, yet there was no let-up in their intensity after the break.
Varndell, Moody (twice) and Jennings added further scores as Leicester finished eight tries that proved an accurate reflection of the gulf in class between a team harbouring quarter-final aspirations and an opponent with little appetite for the battle.