'Chaff' in the Bible

Whose fan is in his hand, and he will throughly purge his floor, and will gather the wheat into his garner; but the chaff he will burn with fire unquenchable.

Why do you see the speck of chaff that is in your brother's eye, but don't consider the beam that is in your own eye?

Or how can you tell your brother, 'Brother, let me remove the speck of chaff that is in your eye,' when you yourself don't see the beam that is in your own eye? You hypocrite! First remove the beam from your own eye, and then you can see clearly to remove the speck of chaff that is in your brother's eye.