Have done it a bunch, here in the US. Best approach I found was to become totally calm (conditions premitting) and then move through at a speed that didn't compromise attention to detail- but not too slow, either. You don't want the baddies to anticipate your arrival at their precise location. Always be looking for something to get behind if need be, use any available cover and lighting to your advantage.
Rookies occasionally did two things that drove me nuts. They would either have the gun up in front of their face where they couldn't see squat, or they would make so much noise that a deaf person could tell where they were, and which way they were moving.
There's a lot to be said for sending the dog in, first.
I'm inclined to think if a man hasn't gotten his point across in 4912 attempts, 4913 probably isn't going to do it.