“But avoid foolish disputes, genealogies, contentions, and strivings about the law; for they are unprofitable and useless. Reject a divisive man after the first and second admonition, knowing that such a person is warped and sinning, being self-condemned.” — Titus 3:10-11

The process is clear, here. Titus is told to “reject” a divisive man after two warnings. Paul says that foolish disputes, arguments about the Law of Moses, contentions and genealogies are unprofitable and useless. One who wrangles over these matters is being divisive. Although the language may seem strong, Paul says a person who does so is “warped and sinning, being self-condemned.”

One word that is interesting here is the Greek hairetikos. This is the only time it is used in the New Testament, and according to the Analytical Lexicon of the Greek New Testament it means “denoting loyalty to a separatist group, heretical, factious, causing divisions.”

Bottom line: According to this passage, anyone who tries to divide the Lord’s church by being part of a faction would need to be warned twice. If there is no repentance, the culprit must be rejected, or denied fellowship.