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.

Wash Mussels Ltd will create five "limited" test areas on the bed of the River Stour where 500 tonnes of mussels would be laid each year.
The RSPB is concerned about the impact of dredgers and farming on rare birds.
A public consultation runs until October.
In 2014, the company applied for a licence for a five-year trial, but objections were raised about a lack of studies on the effects on wildlife.
The RSPB is worried about an adverse effect on the tens of thousands of birds, particularly goldeneye and red breasted merganser, which use the estuary, which has European Special Protection Area status.
Mark Nowers, RSPB conservation officer, said: "Any development needs to show these important species are not affected."
Peter Scott, solicitor for Wash Mussels, said: "There will be limited operations and no equipment in situ, because there will be no ropes or nets.
"Noise from dredgers is pretty insignificant in terms of bird disturbance.
"If the trial is successful, there will be significant employment in dredging and preparing the product for market."
Mr Scott said it would not put buoys on the river or sink pots to catch crabs which feed on mussels.
The Essex and Suffolk Wildlife Trusts said they would be reviewing the company's data as part of the public consultation which runs until 7 October.
The Department for Environment, Food and Rural Affairs (Defra) said it would consider the results of the consultation before deciding whether a licence should be granted.

The 24-year-old victim was subjected to a serious sexual assault by two men in Dixon Road, in the city's Govanhill area, in the early hours of 19 May.
Police Scotland launched a high-profile inquiry after the incident.
The force said two men, aged 28 and 29, had been reported to prosecutors following the inquiry.
Chester scored five second-half goals as they recorded their biggest win of the season at home to Dover.
[NEXT_CONCEPT]
Large scale mussel farming could deter rare birds feeding on a "tranquil" river estuary with protected status, wildlife groups have warned.
[NEXT_CONCEPT]
Two men have been reported to the procurator fiscal over the alleged rape of a woman in the south side of Glasgow earlier this year.