Before the victory at Loftus Road, the Potters had scraped only one win in their previous 25 away matches and had picked up just five points in 2013.
Victory against the Rs, coupled with Wigan's defeat to West Ham, has now put Stoke six points clear of the drop and Shawcross is keen to continue moving away from danger.
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|14/1||Stoke are 14/1 with BetVictor to be relegated from the Premier League
"To be honest, over the last couple of weeks we have been looking forward to the games coming up because we want to push up the table.
"The gaffer has belief in us that we can finish quite high. We believed [on Saturday] and the result came out of it but we know there's another massive game against Norwich. Hopefully the fans will get behind us and we can get three points.
"We feel we have been playing better than the results have shown. We have been on a bad run and a lot has been made of it. A lot of people have been getting stick but we have been playing better than people have given us credit for. We'll move on to the next game with the same sort of attitude and hopefully a bit of pride.
"There's still a lot of points to play for and we want to finish as high as we can."
Despite Stoke’s slump in the league, Shawcross believes that under-fire manager Tony Pulis deserves credit for keeping the players focused.
"The manager has been great," the centre-back insisted. "He has settled us down. He knew we were a good team and we know we are a good team who can win games."