There was a division - Σχισμα, a schism; they were divided in sentiment, and separated into parties. This is the true notion of schism.

So there was a division among the people concerning him. Some, though they did not go so far as to believe him to be the Messiah, yet took him to be a prophet, and a very extraordinary one; others made no difficulty to assert him to be the Christ; and others objected to it on account of the country from whence he came, and so fulfilled the words of Christ, Luke 12:51.

There was a division (σχίσμα ἐγένετο)

More correctly, as Rev., "there arose a division." See on John 1:3.

So there was a division among the people because of him.

7:40-53 The malice of Christ's enemies is always against reason, and sometimes the staying of it cannot be accounted for. Never any man spake with that wisdom, and power, and grace, that convincing clearness, and that sweetness, wherewith Christ spake. Alas, that many, who are for a time restrained, and who speak highly of the word of Jesus, speedily lose their convictions, and go on in their sins! People are foolishly swayed by outward motives in matters of eternal moment, are willing even to be damned for fashion's sake. As the wisdom of God often chooses things which men despise, so the folly of men commonly despises those whom God has chosen. The Lord brings forward his weak and timid disciples, and sometimes uses them to defeat the designs of his enemies.