I don't know about your bible, but in mine it says that He will remember my sins no more. It also tells me that they have been cast into the depths of the sea. Is that how I forgive others? Um, no...I may say that I forgive someone or something and most times I mean it, but I still remember it. I don't cast it into a 'sea of forgetfulness'. Instead, it gets locked in a little compartment in my mind for Satan to find and bring out some day.
So, how do I display biblical forgiveness? I must say that I have no idea. But I did do a little definition digging and really liked this version:
Forgiveness is typically defined as the process of concluding resentment, indignation or anger as a result of a perceived offense, difference or mistake, and/or ceasing to demand punishment or restitution (wikipedia)
Now I can do a process. I can recognize an offense. I can extend the forgiveness. I can really mean it. But how do you conclude resentment or anger? Let me know when you figure that one out. The only way I know how to do that is to seek the help of the ultimate Forgiver. If you truly desire to display forgiveness, then give it to Him. When Satan tries to rear his ugly head, pick up the Word and read passages on forgiveness. Pray. Get an accountability partner. Replace angry and resentful thoughts with pure, good ones.
I want to be a picture of Him on this earth. I want to glorify Him. True forgiveness is one trait that He has that I want to display to others (and for myself). I don't know how to do it in my own power, but I know that through Him and the Holy Spirit that dwells in me, I am able.