Christ does not say "NO DIVORCE".
He said to his disciples that divorce did not come from the Creator, who created two flesh, male and female, to be joined. Christ further said that divorce arose because of the hardness of the hearts of men that developed followng their creation. He told the disciples that remarriage after a divorce "for reasons other than sexual immorality on the part of a spouse"...would be considered adultery.
You might want to revise your statement. From the DOuay Rheims:
7 For this cause a man shall leave his father and mother; and shall cleave to his wife. 8 And they two shall be in one flesh. Therefore now they are not two, but one flesh. 9 What therefore God hath joined together, let not man put asunder.
All found right here: http://www.drbo.org/chapter/48010.htm
He said Moses allowed the bill of divorce because of the hardness of their hearts. He then goes on to say, "What therefore God hath joined together, let not man put asunder." Pretty plain as day to me.
Yup, Jesus said all those things.
Importantly, Jesus said that what's in the Torah concerning divorce is a tradition of Moses and didn't come from God.
Which means that at least those sections of Deuteronomy and Leviticus that refer to divorce were NOT "God-breathed", and that either Paul is wrong when we says "ALL Scripture is God-breathed", or that Paul is right, but that there are parts of what WE call Scripture that are not really Scripture at all (such as the parts of the OT in which God lays out the rules for divorce), because those parts are not God-breathed.
We also don't have anything in Scripture to tell us what Scripture IS, exactly.
I don't mean to be too hard on Scripture, of course. I just want to chasten the tendency to make an idol out of the Bible.