Wales Under-21 midfielder Mark Jones was on the mark twice as Wrexham put 10-man Stockport to the sword.
Mark Jones starred for Wrexham with two goals
It all went wrong for County when French defender Ludodic Dje elbowed Paul Linwood to receive his marching orders after only seven minutes.
Jon Walters deservedly gave the Dragons the lead on 20 minutes with a rocketing shot into the top corner.
Jones made the game safe by rifling a poor clearance home, then made it 3-0 by drilling in Alex Smith's cross.
Wrexham: Michael Jones, Linwood, Bayliss, Lawrence, Spender, Mark Jones, Ferguson (Mackin 84), Danny Williams, Smith, Walters (McEvilly 86), Bennett (Foy 75).
Subs Not Used: Ingham, Mike Williams.
Goals: Walters 21, Mark Jones 51, 57.
Stockport: Ikeme, Clare (Chris Williams 64), Raynes, Vaughan, Greenwood, Hamshaw, Briggs (Crowe 63), Ashley Williams, Robinson, Dje, Malcolm (Bramble 63).
Subs Not Used: Spencer, Griffin.
Sent Off: Dje (7).
Booked: Raynes, Ashley Williams.
Ref: N Miller (Durham).