I do it a lot with my boss. He can just never be wrong, so I find myself apologizing to him even when I'm not sorry, or know I wasn't in the wrong.
I've worked for him for 8 years and this works and makes things run smooth. I don't always like it, but it keeps the piece. Some times it even makes me giggle
The husband and wife team I used to work for are like this! They are horrible, nasty, and mean when they think you are wrong. Dog forbid if you manage to prove that they are wrong. Not only will they not apologize, they will find a way to blame you for their mistake.
I always just said that I was "sorry I disappointed you, how can I do better next time?" and kinda blew smoke just to get them to STFU. They loved me. Narcissistic fools.
Frequently. It's the only way to maintain healthy relationships, especially intimate ones.
There are many occasions where I find out what I did that was wrong and after gaining understanding I then feel I want to apologize.
Then there are the times where I do see things differently, but the bottom line is my actions were nonetheless hurtful, whether or not I intended them to be. Therefore I need to at least apologize for that.