What was the argument between the eastern orthodox church and the roman catholic church. what were its origins and how did it end?

The prime arguments at the time of the Great Schism: 
The Catholic Churches of the Eastern Roman Empire (now called the Eastern Orthodox Church) believed (and still believe), in continuity with the ancient church, that no single bishop ruled the others; decisions were made in councils; they also held to the council-defined Nice Creed that states the Holy Spirit proceeds from the Father. 

The Catholic Church of the Western Roman Empire (now called the Roman Catholic Church) decided unilaterally that their chief bishop, the Pope of Rome, was also the chief bishop of the churches in other areas; the West also made an unauthorized change to the Creed to say that the Holy Spirit proceeds from the Father and the Son. 

These issues have *not been resolved, and continue to divide Christianity. 

Someone answered that the Orthodox do not believe the bread and wine become the body and blood of Christ. That is untrue. We do believe, as we state in our communion prayers "I believe that this is truly your pure body, and this is truly your precious blood." What we don't have is the theory of "transsubstantiation", which attempts to define how the change is made. We simply affirm that the change *is made, and don't try to figure out how.