Tottenham increased Everton's growing relegation fears and maintained their own top-four aspirations as Frank Lampard's side were outclassed and humiliated.
On an embarrassing night for Lampard and his players, Spurs ran riot as Everton capitulated in a fashion that raises genuine doubts about their ability to maintain Premier League status.
Everton defender Michael Keane set the tone for the night by firing Ryan Sessegnon's into his own net after 14 minutes while goalkeeper Jordan Pickford was at fault for Son Heung-min's second three minutes later.
Matt Doherty set Harry Kane free to put the game out of sight eight minutes before half-time, while any slim hopes of an Everton revival were snuffed out when substitute Sergio Reguilon scored with his first touch at the far post seconds after the restart.
As Everton simply fell apart, Kane added the fifth after 55 minutes, meeting Doherty's perfect cross with a crisp left-footed volley.
Everton are just one point and one place above the relegation zone with a game in hand on Burnley below them.
Tottenham stay seventh, just three points behind fourth-placed Arsenal in the last of the Champions League qualifying spots.
Last month, following a 2-0 loss against Wolves, Spurs boss Antonio Conte insisted it was "impossible" for his side to finish in the top four but after Monday's win said his "expectations have become higher".
"A top-four race for sure and we want to be involved, we're becoming stronger in many aspects," added the Italian.
"We have to take the responsibility now. We have to fight to reach the best possible position and to fight for a place in the Champions League."
"For sure it won't be easy. We need to have ambition and I think we can do this, I think we’re ready to do this."
"Since my arrival in Tottenham I didn't know if it could be realistic but now after months of hard work I think the two (new) players (Dejan Kulusevski and Rodrigo Bentancur) complete our squad."