DERBY County exited the FA Cup after second-half goals from Chelsea's John Obi Mikel and Oscar.
Mikel made the breakthrough for the Premier League side when he headed home opener Willian's cross before Oscar sealed a relatively comfortable win with a curling shot.
Ramires then hit the bar while Chris Martin's late strike was the only Derby shot to test goalkeeper Mark Schwarzer.
Ramiree saw yellow for a second-half dive in the Rams penalty area.
Steve Nicholson's full match report in tomorrow's Burton Mail and online.