How do you apologize to others?

How do you apologize to others?
Apologizing with others is part of social skills. I did a stupid thing, I try to remedy and I apologize.
But it is important to apologize only once.
When we apologize repeatedly, we become aggressive. Yes, you read that right: aggressive. Because with our behavior, we oblige the person we have damaged to console us.
I broke your grandmother's ancient and precious vase. Shit happens. But I also show myself so sorry that you have to tell me "Come on, it's nothing important". To add insult to injury!
Attention to these subtleties: they can have a negative effect on those around us.