Students typically have to write letters of apology for even minor infractions - being late, say, or forgetting to wear the complete uniform. (wacharterschools.org)
The last time he was around he said the time for apologies from bankers was over. (politics.co.uk)
After almost giving up hope, I got a reply by e-mail that was full of apology for the delay and gave me exactly the news I had been hoping for. (sciencemag.org)