If a man divorces his wife three times, then she marries another man, does she return to him with three remaining divorces?

Question:
I heard a shaykh say: The questioner is a man who divorced his wife with three divorces. In the third divorce, she married another husband, and he consummated the marriage with her. Then she returned to her first husband, and he divorced her a fourth time. Now he wants to take her back. How does she return to him? Is it necessary for her to marry another man, or not?

Answer:
If he divorced her three times, then she married a lawful husband, and he consummated the marriage and had intercourse with her, then he divorced her, a new count of divorces begins. For every three divorces, a new count begins. He has one divorce remaining to take her back. If he marries her anew and divorces her once, he has one divorce remaining to take her back. This previous divorce is not counted; it becomes the first divorce in the new marriage.