This is not true in and of itself. Christians are only licensed to divorce in instances of adultery, abandonment, or (in my opinion, the Bible does not specifically address it) physical abuse. In that case immediate separation is needed, and obviously the Lord does not expect a spouse to remain with someone who abuses them.
1 Cornithians 7:12 - 14 for more reference.
And of course over all of this we remember the forgiveness of Christ which works in all circumstances.