@RC1970 - perhaps the prayer of the priest after the confession may help give you a framework of what we believe and practice in confession:
Optional Prayer of the priest:
O Lord God, the salvation of Your servants, merciful, compassionate, and long-suffering; Who forgives our evil deeds, not desiring the death of a sinner, but that he turn from his way and live: Show mercy, now, on Your servant,
[NAME], and grant to him (her) an image of repentance, forgiveness of sins and deliverance, pardoning all his (her) sins, whether voluntary or involuntary. Reconcile him (her) and unite him (her) to Your Holy Church, through Jesus Christ our Lord, to Whom, with You, are due all dominion and majesty, now and ever, and unto ages of ages. Amen.
Greek form of priest's concluding prayer - the older form - which they also use in the Orthodox Church of America:
May God Who pardoned David through Nathan the Prophet when he confessed his sins, Who pardoned Peter who wept bitterly for his denial, the Harlot who wept at His feet, the Publican and the Prodigal, forgive you all things, through me a sinner, both in this world and in the world to come, and set you uncondemned before His terrible Judgment Seat. Now, having no further care for the sins which you have confessed, depart in peace.
Honestly, I find that prayer, especially the second one, to be one of the most beautiful prayers of repentance. We confess to God in the presence of the priest, not to the priest himself.
The Church is a hospital for sinners. Every discipline and sacrament we participate in is a way for God to work in us and to heal us. That said, confession is not a work of satisfaction - it is a way to help us heal.