When you find yourself in an unpleasant situation it is best to get out of it as graciously as you can. To focus on the issue and blow things out of proportion is fruitless. You can teach people to mend their faults a hundred times better by setting a good example than you can by harsh or self-righteous words.
Self-awareness is defined as "knowing self well," but put in the context of divorce, I think it means having the courage to look in the mirror and say, "Hey, a lot of this (or all) was my fault." That is something I rarely hear from any men or women getting divorced. Many refuse to take any accountability for the split.
When I ask audiences to describe the best and worst boss they have ever worked for, people inevitably ignore innate characteristics (intelligence, extraversion, attractiveness and so on) and instead focus on qualities that are completely under the boss' control, such as passion, insight and honesty.