It left the marooned at the bottom, with only one win from 14 matches, ten of which they lost.
Tom Alsop and Joe Weatherley swept the Academy to victory – their unbroken 270-run partnership being the third highest recorded in the Premier Division.
Totton needed a big win if they were to have any remote chance of escaping the drop – but at least they gave themselves a fighting chance after a farewell century by South Australia prospect Cameron Valente pointed them to 267-8.
The Adelaide teenager hit two sixes and 15 fours in his 116 and shared a second wicket stand of 182 with Tom Arnold, whose 72 was an SPL best.
Once they were parted, Matt King (3-47) and occasional off-spinner Joe Weatherley (3-33) sliced their way through the remainder of a fragile Totton batting order.
Totton were simply blown away after that – Alsop and Weatherley, fresh back from young England duty, both producing chanceless innings.
Alsop breached the Nursery Ground boundary rope 27 times on his way to a Premier League best 155, while Weatherley struck a six and 12 fours, just missing out an a century when the Totton target was reached at the end of the 41st over.
The result sentenced Totton & Eling to a double relegation, their second team having finished bottom of Division 2.