The home fans chanted against their players and owner Randy Lerner as the Blues took control in the second half.
Ruben Loftus-Cheek's deflected shot and Pato's precise penalty had given the visitors a healthy half-time lead.
Pedro scored twice - slotting in Oscar's pull-back and hammering home a loose ball - before Alan Hutton was sent off to compound Villa's misery.
Aston Villa's Premier League survival may still be possible in theory but, with 12 points separating them from safety and six games left, attention has long since switched to the longer term in the Holte End.
Before kick-off, fans held aloft banners asking "Proud History, What future?" as they contemplate a Championship campaign on the pitch and owner Randy Lerner's continuing attempts to sell up off it.
Their protests increased in volume towards the end of the match with substitute Leandro Bacuna - who spoke of his plans to leave the club this week - picked out for particular criticism and a synchronised show of discontent on the 74th minute.
The final whistle was greeted with resounding boos from the fans who remained in a fast-emptying Villa Park.
BBC Sports
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