(Philippians 1:6) “being confident of this very thing, that He who has begun a good work in you will complete it until the day of Jesus Christ.”
So the next step after you begin and press on is to complete it. Things begun in the will of God, God gives the ability and provision to complete. See God-begun things through to the victorious end. The victory is sure. The victory is sweet.
I am not saying never quit anything. You can quit some things and know God’s pleasure for doing it (for example, if you are robbing banks, quit pressing on in that). Things not begun in the will of God are candidates for quitting. Careful scrutiny is needed to see if it can be redeemed for His will, but if not, quit.
Meanwhile, back to complete it. There can be barriers to break through, great opposition right at the time to complete it. There can be words of discouragement, but complete it. There can be condemnation attempts against you, but complete it.
Receive great satisfaction over jobs begun, press-on-ed, and completed in the will of God. This imitates God. When God had finished creation, “Then God saw everything that He had made, and indeed it was very good…” (From Genesis )