(230) And if he has divorced her [for the third time], then she is not lawful to him afterward until [after] she marries a husband other than him. And if the latter husband divorces her [or dies], there is no blame upon the woman and her former husband for returning to each other if they think that they can keep [within] the limits of Allah. These are the limits of Allah, which He makes clear to a people who know.
A man divorced his wife three times, then another man married her and divorced her before touching her. The Messenger of Allah (PBUH) was asked: Is it permissible for her to remarry the first one? He said: No, until he [second husband] tastes her sweetness [by having sexual intercourse] as the first one did.

404!