Basically there doesn't seem to be much of it.
Future Picard and Beverly were divorced. And it's assumed that McCoy is divorced in the prime universe series, but that's never confirmed. The majority of marriages are ongoing, or they end in the death of one of the spouses.
At the end of Amok Time, after winning T'Pring as his wife (property), Spock then verbally transfers her (as property?) to another Vulcan male. While it would appear that this is what T'Pring wanted, it isn't clear if she had any actual say in the matter.
Strickly speaking, is this Vulcan divorce or annulment? Spock's marriage was dissolved.
Harry Mudd was estranged from Stella, perhaps divorced, my belief is that he just left her at some point. Kirk suggested that the dilithuim miners could have had their marriages annulled, not quite the same as divorce though.
On the other hand, marriage does seem to be alive and well in the Star Trek universe. All the main characters, when the matter has come up, have had married parents. We don't hear of everyone's parents marital status, but when was there a clear mention of a main character being a "bastard ~slash~ love child?"
There are a few secondary characters where this is the case. Worf's son Alexander is one. Worf did at one point attempt to take a marriage oath with K'Ehleyr, but she refused.
Did I miss any divorces?

Future Picard and Beverly were divorced. And it's assumed that McCoy is divorced in the prime universe series, but that's never confirmed. The majority of marriages are ongoing, or they end in the death of one of the spouses.
At the end of Amok Time, after winning T'Pring as his wife (property), Spock then verbally transfers her (as property?) to another Vulcan male. While it would appear that this is what T'Pring wanted, it isn't clear if she had any actual say in the matter.
Strickly speaking, is this Vulcan divorce or annulment? Spock's marriage was dissolved.
Harry Mudd was estranged from Stella, perhaps divorced, my belief is that he just left her at some point. Kirk suggested that the dilithuim miners could have had their marriages annulled, not quite the same as divorce though.
On the other hand, marriage does seem to be alive and well in the Star Trek universe. All the main characters, when the matter has come up, have had married parents. We don't hear of everyone's parents marital status, but when was there a clear mention of a main character being a "bastard ~slash~ love child?"
There are a few secondary characters where this is the case. Worf's son Alexander is one. Worf did at one point attempt to take a marriage oath with K'Ehleyr, but she refused.
Did I miss any divorces?
