I agree with amberrose that there are many issues here. Including whether both parties are Christians or whether one party is an unbeliever. The bible makes distinctions there. Also, whether adultery has been committed by any parties before a person can divorce their spouse.
There is also another article by Glenn Pease which deals with this issue in a very interesting manner.
But I say unto you, That whosoever shall put away his wife, saving for the cause of fornication, causeth her to commit adultery: and whosoever shall marry her that is divorced committeth adultery.
Jesus introduced something new here. He is charging the man to be guilty for putting away his wife if she has not committed adultery. Glenn thinks that the only reason why most people put away their wives if they have not been unfaithful is because of their own lust for another woman. Divorce justifies their action and allows them to go free to choose another, while the wife becomes a victim of their lust for another. Jesus now has made it clear that the man is guilty because he is FORCING her to commit adultery. Is she guilty if she remarries another when she is put away or abandoned? This article provides an interesting perspective ... The real issue is the issue of the heart, prevention of actions due to our lust.