What is the ruling on my remaining with my wife after learning of her betrayal, given that we have four children and my religious commitment, and should I marry another?

If the wife repents and regrets her transgression, and her condition improves, the husband is advised not to divorce her but to conceal her faults, and he will be rewarded for that. Not divorcing her preserves the stability of the family and the upbringing of the children. The husband must treat his wife with kindness and not abstain from conjugal relations with her, as this is her right and part of treating her with kindness. The husband is permitted to marry another woman, provided he is just. As for swearing on the Quran, it has specific details. The term "marital betrayal" should be avoided when referring to adultery. It is permissible to live with a brother in a shared house, provided that facilities that might expose one's awrah (intimate parts) are not shared.