A Harry Pritchard double and Sam Barratt goal effectively put the game beyond Chester by half-time after James Jones’ early red card.
It was the Magpies’ first National League win in five matches and they are now closer points wise to the play-off places than the relegation zone.
Despite Chester’s poor run, Devonshire was beaming after the game and said a dominating result had been coming.
He told BBC Radio Berkshire: “We played at a tempo that suits us. We’re not good at slowing games down but we blew the game away and it was over by half-time.
“I like players that are different and we’ve got quite a few of them. When we’re playing like that, teams will struggle to hold us. Hopefully, I can keep them all together and we can build for the rest of the season.
“I’m really pleased with how it’s going at the moment. We’re looking to get positive results in the next two games and push on again.
“I thought somebody was going to get a good hiding from us. Winning 3-0 against anybody in this league is hard.”
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