There was little to choose between the sides in the first half, before the goal deluge began with two inside a minute just after the interval.
Kane Richards' pass released Johnny Hunt to put Chester ahead on 51 minutes before James Alabi quickly doubled their lead after a powerful run.
Chester then scored three more in the final 11 minutes, triggered by Elliott Durrell firing home from the penalty spot after being fouled himself.
James Akintunde then teed up winger Craig Mahon to blast in a piledriver.
Substitute Akintunde still had time to get in on the act, heading in Durrell's left-wing cross, to complete City's biggest win in seven months and lift Jon McCarthy's side into the National League top half.
Chester's fifth successive game without conceding a goal is their best run at this level or above in 14 years, matching the five clean sheets with which they started the 2002-03 season.
Report supplied by the Press Association.
Match ends, Chester FC 5, Dover Athletic 0.
Second Half ends, Chester FC 5, Dover Athletic 0.
Goal!  Chester FC 5, Dover Athletic 0. James Akintunde (Chester FC).
Sam Magri (Dover Athletic) is shown the yellow card for a bad foul.
Substitution, Dover Athletic. Mitchell Pinnock replaces Sammy Moore.
Goal!  Chester FC 4, Dover Athletic 0. Craig Mahon (Chester FC).
Aswad Thomas (Dover Athletic) is shown the yellow card for a bad foul.
Goal!  Chester FC 3, Dover Athletic 0. Elliott Durrell (Chester FC) converts the penalty with a.
Substitution, Chester FC. James Akintunde replaces Kane Richards.
Substitution, Chester FC. Wade Joyce replaces Tom Shaw.
Substitution, Dover Athletic. Ayo Obileye replaces Jack Parkinson.
Substitution, Dover Athletic. Ira Jackson Jr replaces Moses Emmanuel.
Moses Emmanuel (Dover Athletic) is shown the yellow card for a bad foul.
Ross Lafayette (Dover Athletic) is shown the yellow card for a bad foul.
Goal!  Chester FC 2, Dover Athletic 0. James Alabi (Chester FC).
Goal!  Chester FC 1, Dover Athletic 0. Johnny Hunt (Chester FC).
Substitution, Chester FC. Luke George replaces Ryan Astles.
Second Half begins Chester FC 0, Dover Athletic 0.
First Half ends, Chester FC 0, Dover Athletic 0.
First Half begins.
Lineups are announced and players are warming up.
Chester scored five second-half goals as they recorded their biggest win of the season at home to Dover.