Divorced her three times, then she married and was divorced; does she return to the first husband with three new divorces?

Question: Does a wife whose husband divorced her with three divorces, then she married another husband, then he divorced her, and then the first husband married her again, does this husband have three new divorces?

Answer: Yes, if the husband divorced her with the third of the three, then she married a lawful husband and he had intercourse with her, entered into marital relations with her, and then she returned to her first husband after the divorce, or after his death. Yes, he has three divorces, just as he did in the first marriage.
But if he had only divorced her with one divorce, or divorced her with two, then she married and returned to him, then she has only what remained of her first divorces, one or two; what remained for her remains for her. However, if he had exhausted the three divorces, then divorced her, then she contracted a lawful marriage, then her husband divorced her or died after entering into marital relations with her, after having intercourse with her, meaning, then the first husband marries her, and she returns to him with a count of three divorces, like the first marriage.
And the minor final divorce (bay'nah saghirah) is: the one whose husband divorced her with one or two, then she returned to him by taking her back (ruju') or by a new marriage; like the one whose marriage was annulled or whose marriage was dissolved, she returns on the remaining divorce as we mentioned.