[41] And he said unto them, How say they that Christ is David's son? [42] And David himself saith in the book of Psalms, The LORD said unto my Lord, Sit thou on my right hand, [43] Till I make thine enemies thy footstool. [44] David therefore calleth him Lord, how is he then his son? [45] Then in the audience of all the people he said unto his disciples, [46] Beware of the scribes, which desire to walk in long robes, and love greetings in the markets, and the highest seats in the synagogues, and the chief rooms at feasts; [47] Which devour widows' houses, and for a shew make long prayers: the same shall receive greater damnation.

When Jesus quoted David in the Psalms, he did several things. First he was showing His divinity as Lord, by God (the Lord) calling “Christ,” Lord. Next he showed his pre-existence, before David, and then his willingness to humble himself to become “David’s son” in the lineage of the Bible. Next he showed his exaltation to the highest possible “seat” sitting on the right hand of God the Father until the Lord made the enemies of Christ “his footstool.”
Then in contrast to his willingness to humble himself, he exposed the Scribes or leaders and their desire for exaltation, to be “seen of men.” They wanted the “highest seats,” and the “chief rooms at the feasts.” They wanted the people to greet them in the marketplace. Even their prayers were for “show.”
Finally, Jesus told his disciples what their end would be. They would receive the “greater damnation.”