The Wales international was a revelation for Spurs last season and the north Londoners narrowly missed out on a Champions League place before he sealed an £86million summer move to Real.
Tottenham have struggled without Bale in this campaign and Andre Villas-Boas was sacked as manager after last weekend's 5-0 home defeat by Liverpool, a game that saw no shots on target from the hosts.
Bale felt it was often his responsibility to spark Spurs into life on the pitch, but does not feel the same pressures as part of the star-studded line-up at the Bernabeu.
"They lead by example. If you ever want to talk to them, they're always there to listen. It's great to play alongside them because they're world-class players too," he told the Daily Telegraph.
"At Tottenham, I was always trying to get onto the ball and make everything tick, whereas here everybody's doing that, there are world-class players all around the pitch and you're able to concentrate just on your game rather than bringing the whole team forward, and I'm enjoying that."
Bale struck two of Real Madrid's 20 goals as they made a red-hot start to their Champions League campaign.
The Spanish giants will be expected to beat Schalke in the knockout stages, but Bale played down the expectation on Real as they attempt to secure the trophy for a 10th time.
"I wouldn't say it's pressure," he said. "The fact it's the 10th title will be special for the club but for everybody at the club, the players, the staff, we want to win the Champions League because we want to win every trophy we're playing in."