Wa `alaykum As-Salamu wa Rahmatullahi wa Barakatuh
If I understand your question correctly, I cannot see how could a Muslim man divorce his wife because of her miscarriage; such a man is heartless and cruel; how can he justify such an action, when she is the one who deserves all forms of emotional, moral and spiritual support. How could he victimize her more?
It is not befitting a Muslim to do so. The Prophet, peace be upon him, said, “The best of men are those who are most affectionate to their wives.”
Her miscarriage is not her fault; it is a decree of Allah; so by reacting to her in this way, he is guilty of challenging the order of Allah. Therefore, I would urge him to repent, seek forgiveness of Allah and his wife and use the opportunity of the blessed month of Ramadan to repent and wash his sins.
Once he has done that, he should take her back, if the waiting period of three months did not expire. If, however, three months expired, then he should renew the marriage.
Having said this, I would also urge him to seek marriage counseling; he can also benefit from studying the book, Blissful Marriage: A Practical Islamic Guide by Ekram Beshir and Mohamed Beshir.
I pray to Allah to guide our hearts and inspire us all to do what is right to improve our faith and character by seeking repentance and doing what is right and pleasing to Him.
Almighty Allah knows best.
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