Durham wasted no time in wrapping up their fifth County Championship Division One win of the season, taking just 16 balls to put Derbyshire out of their misery on day four at Chester-le-Street.
The visitors lost their final three wickets in quick succession as Ben Stokes and Chris Rushworth cleaned up the tail in less than three overs, to give Durham victory by 279 runs over the bottom-placed side.
After gaining a lead of 140 after the first innings, Durham made 331-9 before declaring to leave Derbyshire a most improbable target of 472 for victory.
Shivnarine Chanderpaul made 76 in a partnership of 98 with Tom Poyton but when the West Indian fell to leave the newly promoted side 147-6, the end seemed nigh.
Derbyshire closed on 181-7 with Poyton still at the crease but when Tom Clare fell to the second ball of the day, any glimmer of hope of escaping with a draw disappeared.
Rushworth had Tim Groenewald caught behind to leave Derbyshire on the brink and Durham sealed the win as Stokes bowled Mark Footitt with two deliveries still remaining in the third over of the day.