Divorce was the legal dissolution of marriage.
Francine and Clive Jones were divorced at some point after most of their children were young adults. (TV: Smith and Jones) Rory Williams once got Amy Pond's signature on divorce papers, but the Eleventh Doctor arranged a reconciliation before he had an opportunity to file them. (TV: Asylum of the Daleks)
Duggan used to do divorce investigations prior to his involvement with the Fourth Doctor and the theft of the Mona Lisa. (TV: City of Death)
Kate Stewart was divorced. (TV: Death in Heaven)