Thousands left even before a scheduled protest in the 74th minute -- chosen to mark Villa's foundation in 1874 -- and they missed their team's only goal scored by Rudy Gestede five minutes later.
By then the match was long over as a contest, leaving Villa well adrift at the bottom of the Premier League table.
Everton took the lead in the fifth minute when Ramiro Funes Mori headed in a Kevin Mirallas corner. Aaron Lennon made it 2-0 after 30 minutes following a sweeping Everton move before Romelu Lukaku bundled home the third after an hour.
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(Reporting by Mike Collett; editing by Toby Davis)
