Is there something in the Bible that says "Till death do you part?"

Yes. This is the point of Romans 7:2-3, which says,

For a married woman is bound by law to her husband while he lives, but if her husband dies she is released from the law of marriage. Accordingly, she will be called an adulteress if she lives with another man while her husband is alive. But if her husband dies, she is free from that law, and if she marries another man she is not an adulteress. - Romans 7:2-3

Marriage did not begin with any human or government. God designed marriage. It is simply a male-female relationship. When a couple marries, the male and female become "one flesh" figuratively in the sight of God and men. The two are to be cleaved or glued together. Consider what happens if you firmly separate the C-shaped handle from the body of a cup. It will certainly split apart, ruining the cup. The same is true for a married couple who separates; it will undermine their marriage bond, affecting not only them but their entire generation. This is why it is vital that before the two marry, they go through marriage preparation so that they understand their responsibilities as husband and wife. The Lord desires the couple to live in love, peace, and harmony as husband and wife until their deaths. Yes, until death do them part.    

Therefore a man shall leave his father and his mother and hold fast to his wife, and they shall become one flesh. - Genesis 2:24