Can I get re-married?

In this episode, Dr. Betters answers the question, "I am a single parent of two teenage girls. I divorced my husband 5 years ago after he severely beat me. I have now met a man that loves the Lord and loves his kids, and I believe he would make a wonderful father for my girls. His ex-wife was unfaithful to him. Biblically, are we allowed to remarry? Would you recommend it?"