Throughout time, different cultures have had varying views regarding demonic possession, but in most cases they are all rooted in similar beliefs and doctrines.
Pagan cultures surrounding the ancient Israelites appear to have been obsessed by these two topics. But Judaism was an exception in the Middle East. The Hebrew Scriptures contain relatively few references to demon possession, and none at all to exorcism. The only references to evil spirits indwelling humans are found in 3 stories about Abimelech (Judges 9), some prophets (1 Kings 22) and Saul (1 Samuel 16, 18 & 19). In each case, it was God who specifically sent an evil or lying spirit to torment individuals. The relative scarcity of demonic spirits in the Hebrew Scriptures might have been caused by the Hebrew's strong monotheistic beliefs. Their belief in a single God may have caused them to reject the existence of any other supernatural entities.
There has been speculation that the Hebrew Scriptures originally contained descriptions of interactions between people and demons, but that that material has been deleted from the text.
But these, and similar, suggestions must remain pure conjecture. In no case do they imply either indwelling of a human by a demonic spirit, or discuss an exorcism ritual.
Numerous cases of demonic possession and exorcisms by Jesus and his disciples are reported in the Gospels and Acts. The Epistles by Paul and other authors and the book of Revelation are silent on these topics. We can gather certain conclusions about the exorcism procedures used in Palestine during the first century CE from the Scriptures: