Goals from Raffaele De Vita, Matt Ritchie, Miles Storey and Adam Rooney gave the Robins the three points. Swindon even had a Tommy Miller penalty saved.
Swindon started the stronger and came out of the blocks a lot quicker than the home side, Miles Storey had a turn and swivel shot comfortable saved by Steve Arnold in goal for Stevenage.
But Swindon took the lead after seventeen minutes when a cross in the left found Matt Ritchie at the back post who headed across goal to found Raffaele De Vita who turned and hit a lovely left footed volley into the bottom corner. This was the winger fourth goal of the season, his second in two games.
On the half hour Swindon doubled the lead when a cross by Alan McCormack was punched away by Arnold and it fell to Matt Ritchie who hit a low drive through the bodies in the penalty area and it went through the Stevenage keeper legs into the back of the net.
Swindon had the chance to add to their lead just minutes later when Alan McCormack run from the back was ended right inside of the penalty box by Bondz N’Gala. Tommy Miller then stepped up but he had his spot kick saved by Steve Arnold who guessed right and parried the effort away.
But seven minutes before half time Swindon added a third and was in dream land. John Bostock played in Matt Ritchie on the right hand side who crossed in to Miles Storey who headed home and scored his first senior goal for Swindon. Swindon keeper Wes Foderingham had one save to make all game and it was an important save. The home side only had three shots on goal all game.
Swindon was on the attack again in the second half and Miles Storey had his header brilliantly tipped over the bar by Arnold from a Tommy Miller cross.
On the hour Swindon hit a fourth and it added a gloss to the score line. John Bostock played a through ball to sub Adam Rooney who hit a first time left footed effort into the bottom corner.
This was a brilliant display by the Robins who are now 7th in the league after this 4-0 away win. This was Stevenage first defeat in the league at home for eighteen games.
Up next for Swindon is a mouth watering League Cup home tie against Premiership side Aston Villa on Tuesday night.