And they triumphed despite having to play most of the second half with only 10 men after skipper Garry Moody was sent off for a foul on Ben Anderson.
Six of the goals were shoehorned into the first 45 minutes - Fareham leading 4-2 at the interval thanks to Curt Robbins, Josh Benfield and Jack Breed (2).
Sam Hookey had levelled for the Deans, who had won 12 and drawn twice since their only previous Wessex Premier loss of the season, 1-0 at Hythe on September 3. Connor Duffin also replied just before half-time.
Though having a numerical advantage, the Deans had to wait until late on in the second period before Harry Jackson completed the scoring.
29. Curt Robbins heads Fareham's first goal
Curt Robbins heads Fareham's first goal. Picture by Ken Walker Photo: Ken WALKER
30. Jack Breed rifles in his first goal, and Fareham's third
Jack Breed rifles in his first goal, and Fareham's third. Picture by Ken Walker Photo: Ken WALKER
31. Jack Breed heads in his second goal, and Fareham's fourth
Jack Breed heads in his second goal, and Fareham's fourth. Picture by Ken Walker Photo: Ken WALKER
32. Josh Benfield about to score Fareham's second goal
Josh Benfield about to score Fareham's second goal. Picture by Ken Walker Photo: Ken WALKER