This was Christ's answer when the Sadducees and Pharisees tried to trick Him into saying something which could be considered treasonous to Roman Law.
What Christ meant is that men are exhorted by God to obey the Laws of their respective Government, and also to obey God's Law.
If my country's Laws state that I have a right to due process (and they do) then this is where the Bible covers that matter.
13 And they send unto him certain of the Pharisees and of the Herodians, to catch him in his words.
14 And when they were come, they say unto him, Master, we know that thou art true, and carest for no man: for thou regardest not the person of men, but teachest the way of God in truth: Is it lawful to give tribute to Caesar, or not?
15 Shall we give, or shall we not give? But he, knowing their hypocrisy, said unto them, Why tempt ye me? bring me a penny, that I may see it.
16 And they brought it. And he saith unto them, Whose is this image and superscription? And they said unto him, Caesar's.
17 And Jesus answering said unto them, Render to Caesar the things that are Caesar's, and to God the things that are God's. And they marvelled at him.