And their sins and iniquities will I remember no more. (Hebrews 10:17)
 
According to this gracious covenant the Lord treats His people as if they had never sinned. Practically, He forgets all their trespasses.

Sins of all kinds He treats as if they had never been, as if they were quite erased from His memory. O miracle of grace! God here doth that which in certain aspects is impossible to Him. His mercy worketh miracles which far transcend all other miracles.
 
Our God ignores our sin now that the sacrifice of Jesus has ratified the covenant. We may rejoice in Him without fear that He will be provoked to anger against us because of our iniquities. See! He puts us among the children; He accepts us as righteous; He takes delight in us as if we were perfectly holy.

He even puts us into places of trust; makes us guardians of His honor, trustees of the crown jewels, stewards of the gospel. He counts us worthy and gives us a ministry; this is the highest and most special proof that He does not remember our sins.

Even when we forgive an enemy, we are very slow to trust him; we judge it to be imprudent so to do. But the Lord forgets our sins and treats us as if we had never erred. O my soul, what a promise is this! Believe it and be happy.

Charles Spurgeon