Jesus Brings Division

The reading for this week is Matthew 10:34-39, where Jesus says, "Do not think that I have come to bring peace to the earth. I have not come to bring peace, but a sword." How do we reconcile this with the many verses in the Bible that associate Jesus with peace? In what sense does Jesus "set a man against his father, and a daughter against her mother, and a daughter-in-law against her mother-in-law"? We turn to John Chrysostom's commentary on Matthew for insight.