And it's probably worth noting that when McCoy tells Kirk about the divorce, he's not all weepy and "Woe is me, my heart is broken." He's making a wry, humorous remark about his ex-wife.
I wrote a bit in Seek a Newer World where Spock asks why Kirk calls McCoy "Bones" and McCoy is a bit abashed when Kirk chortles and repeats the "she left me nothing but my bones" line. Spock takes it literally and asks if McCoy's ex-wife was an archaeologist. McCoy smirks and says, "Yeah. She specialized in gold-digging."