There is considerable evidence that suggests that women with more education are less likely to get divorced. In this chart from the National Center for Health Statistics, you can see the percentages of women with various amounts of education and they likelihood that there marriages will last 20 years. You can see that women with a college education are much more likely to have marriages that last over 20 years (about 80%). There is a similar trend for men, but it is less dramatic.
A comprehensive report on trends in US marriage and divorce rates can be found at the National Center for Health Statistics.