Yes, let's look at God's nature. God's nature is to be faithful, even when we are unfaithful.
Now translate that to the marriage covenant, and you will see why Jesus never says that divorce and remarriage is not committing adultery. People draw this conclusion from the phrase 'whoever divorces his wife, except for fornication, causes her to commit adultery...' In this example, the woman who is divorced for fornication has already committed adultery.
In both other recorded examples where Jesus talks about divorce, he makes no exceptions. He says that "whoever divorces his wife and marries another woman commits adultery..." and "if a woman divorces her husband and marries another man, she commits adultery..." (Mark) and "Everyone who divorces his wife and marries another woman commits adultery, and he who marries a divorced woman commits adultery..." (Luke)
A marriage relationship is God's plan for our sexuality. That doesn't mean that's His plan for us. If it were, why would Jesus tell His disciples that there are some who make themselves Eunuchs for the Kingdom of Heaven? Also, why would the apostle Paul say that it is better for a man not to marry in order that he may focus on the things of God?
The example God gives us through His word is of one who will remain faithful even when a covenant is broken. If adultery is 'righteous' grounds for divorce, then every man and woman in the world can righteously divorce his or her spouse based on the definition of adultery that we are given by Jesus.