Hereford equalled the conference record with an astonishing performance.
Tony James scored a penalty after Danny Shipp was sent off for a professional foul and David Brown turned Ashley Vickers before making it 2-0.
Stephen Guinan scored either side of the break before Brown thumped in a header and Danny Williams curled in a superb effort from 25 yards.
Dismal defending allowed Mark Beesley, Danny Williams and Brown to add further goals against shell-shocked Daggers.
Dag & Red: Roberts, Mustafa, Cole, Vickers, Bruce, Janney,
Hill, Shipp, Jimmy Jackson, Kirk Jackson, Moore. Subs: Baruwa,
Chris Piper, Lenny Piper, Braithwaite, Kimble.
Hereford: Baker, Green, Tretton, James, Mkandawire, Rose,
Pitman, Purdey, Willis, Brown, Guinan. Subs: Scott, Williams,
Teesdale, Craven, Beesley.
Referee: G Lewis (Cambridge).