Praise be to Allah, the Lord of the Worlds; and may His blessings and peace be upon our Prophet Muhammad and upon all his Family and Companions.
Your saying to your wife, ‘you are divorced three times’ is a Talaq Bain, i.e. you cannot take her back unless she marries a man willingly and has sex with him. Thereafter if they divorce you may marry her after fulfilling all the conditions of a legal marriage. Allah Says (interpretation of meaning): {And if he has divorced her (the third time), then she is not lawful unto him thereafter until she has married another husband. Then, if the other husband divorces her, it is no sin on both of them that they reunite, provided they feel that they can keep the limits ordained by Allâh…..}[2:230]. This is the opinion of the majority of Muslim scholars.
However, some people of knowledge are of the opinion that delivering divorce three times at once is considered as only one divorce.
We would like here to inform you that the effectiveness of a divorce does not depend on its registration in an American court or even in an Islamic court; whenever it occurs it is valid regardless of its registration. Registration is only to certify the administrative validity of a divorce, which was already effective.
Allah knows best.