Goals from Jeff King, Nathan Tyson, Liam Mandeville and Stefan Payne eased the Spireites to victory at the Tameside Stadium.
Town were in control and untroubled for most of the game as they saw off the National League North side.
They now advance to the next round where a potential tie against a Football League club could be waiting.
Here are Liam Norcliffe’s player ratings from the game...
They now advance to the next round where a potential tie against a Football League club could be waiting.
4 / 4