Should a husband remain in a marriage where he faces continuous problems with his wife, who was religiously committed before marriage but then he discovered her intermittent prayer and lack of communication with his family, or should he proceed with divorce?

You were right to ask about the girl and her engagement to you, as she was praised for her goodness. A Muslim seeks a religious woman. However, it became clear that she is negligent in her prayers, and disputes arose between her and your family. It would have been more appropriate for you to pause and consider breaking off the engagement, as this is easier than completing the marriage and then divorcing. Breaking off an engagement is permissible if there is a valid excuse. The most important thing we advise you to do is to supplicate to Allah for her rectification, continue advising her to maintain her prayers, and instill in her the fear of Allah Almighty. If she repents, then keep her, treat her well, and strive to mend the relationship between her and your family. If she persists in neglecting and abandoning her prayers, then it is recommended to separate from her. A woman, before her husband consummates the marriage, owes obedience to her guardian.