Divorce lawful?

Matthew 19:3 - And Pharisees came up to him and testing him said, "Is it lawful for a man to divorce his wife for any reason?"

I'm not sure offhand what the Pharisees believed about divorce. From this passage, I'd guess they are against it. Yet it is in the laws of Moses, if the woman is found guilty of adultery ... So there is a disagreement about it in scripture. How will Jesus solve this? Surely he cannot, they win, and Jesus is humiliated. The Pharisees, like many of us, could be cruel in their adherence to the law.

The text doesn't say he was in the middle of healing. It implies it. So, maybe this discussion will be a different form of hearing - if not for the Pharisees (they do not learn according to the scriptures) but maybe for Jesus' audience, including us. When the Pharisees come testing Jesus, it is a sign that we must pay attention to what follows.
B