Actually that is not the right reason for the schism between Roman Catholics and eastern Orthodox, which had both theological (nature of the trinity) and political (frankish kings versus Byzantine empire) sources.
I had wanted to share specifics but my own history is fuzzy ... the schism occured in 1054AD when a Frankish pope delivered a Papal bull rejected by the bishop of Constaninople. But the underlying cause was a divergence since the 400s, between Augustinian theology of the west (Platonic-based theology) and eastern theology, and the fact that east and west no longer shared a linguistic or political unity.