These verses are pretty much the best thing you could ever read. God is merciful- slow to anger and abounding in love. I can get set off so quickly. How hypocritical when God is the complete opposite. He doesn't repay us according to our sin- he chooses to forget it.
Verse 14 has always given me encouragement- He knows my frames, he remembers that we are dust. He knows me inside and out. He made me. He knows my shortcomings, my weaknesses. He's not floored when I mess up. He knows I will. But He chooses to love me regardless. Knwoing I came from dust doesn't make me feel bad either. It just reminds me that I, too need the breath of God to bring me to life. I need God. I can't go form one day to the next without Him. This grace I've been given as described in verses 8-14- it just shows me how desperately I have to have God in my life. And in doing os, hopefully O become more like Him- slow to anger, quick to forgive, choosing not to remember sin against me but offering freely to forget. Whew. I need You God- because I need to remember this.

Psalm 103:8-14