The Brewers lost 5-0 to Grays on Saturday and things didn't improve for them at the Glyn Hopkin Stadium.
The visitors had the better of the first half and took a deserved lead into the break, but they were hit by three goals in a 10 minute spell early in the second half and they never looked like coming back.
John Still selected an unchanged line-up after what many thought was the Daggers best performance of the season against Woking at the weekend, but the first half went against the form book as Burton dominated for 30 minutes.
Nigel Clough's side didn't take their chances and were almost behind as the home team worked their way back into the match.
Glen Southam, Craig Mackail-Smith and Scott Griffiths all had chances for the Daggers but Burton got the goal their early pressure had deserved when Graham Ward side-footed home from 12 yards.
Dagenham came out a different side in the second half and Mackail-Smith brought them level in the 54th minute after suspicions of handball were waved away by the referee.
Things got worse for the Brewers four minutes later as Jake Leberl drove home after Mackail-Smith put him in space on the edge of the box.
The match was over bar the shouting in the 64th minute when Southam toe-poked the Daggers' third after good work by Chris Moore on the left.