
Connor Pace fired The Blues in front with a beautiful effort from range before efforts from James Taylor and Owen Betts extended the lead.
The win away from home moves Long Eaton up to seventh place in the Northern Premier League Midlands division while Shepshed Dyanmo remain fourth from bottom.
After a midweek postponement, Brad Munn made three changes to the side that faced Corby Town last weekend as Gianluca Bucci, Ryan Campbell-Gordon and Pace returned to the starting line-up.
Long Eaton had a strong start to the first-half and looked dangerous in the wide areas as full-backs Campbell-Gordon and Betts provided the overlap.
Pace gave United the lead after 15 minutes played with a volley from range that was smashed in via the underside of the crossbar - his second goal of the season.
Jesse Friend looked for an immediate reply for the hosts but was denied by the offside flag as he raced through on goal and took the ball around Lewis King to slot into an empty net.
At the other end of the pitch Taylor found the back of the net in a crowded Dynamo area to make it two for The Blues after Liam Loughlan’s in-swinging free kick caused havoc in the box.
In the final action of the first-half Betts bundled the ball across the line at the back post to score Long Eaton United’s third.
Ahead by three at the break The Blues picked up from where they left off after the restart; however, Anthony Nunez was able to stop shots from Taylor, Pace and Campbell-Gordon early on in the second half.
As the hosts searched for a way back into the match, a flurry of corner kicks and long throw-ins from Exodus Geohaghon followed as Shepshed opted for the direct approach but United’s back line were alert to the danger and carried out their defensive duties.
In the dying embers of the match Bucci came agonisingly close to making it four but The Blue’s centre half was denied by the woodwork after he attacked Loughlan’s corner with a towering header.