Either God holds us to a higher standard than He holds Himself, or many churches are teaching false doctrine.

Before God forgives us, we must forgive others. Then we must ask God for forgiveness.

How are we obligated to forgive those who never ask for forgiveness? They know they wronged us, and they don't care.

I always ask God to help me with forgiveness, because I cannot do it alone.

God is constantly pouring out forgiveness on all of us, but it is not effective without a conversion on the part of the forgiven. Part of God's forgiveness is a restoration of our relationship with Him, and this relationship must be bilateral in order to be true. Imagine a person standing in a waterfall trying to collect water by holding a bucket upside down. There's water constantly being given to him, but he will never get any unless he takes the action of turning the bucket over. God's forgiveness is thus like the water - it's there for the taking, but you are not forced to receive it. Repentance is the decision to collect the water.
So too with the way we treat others. See Mt 5:44ff:
"Love your enemies and pray for those who persecute you, so that you may be sons of your Father who is in heaven; for he makes his sun rise on the evil and on the good, and sends rain on the just and on the unjust... You, therefore, must be perfect, as your heavenly Father is perfect."
When it comes to your conduct, whether the one who sinned against you asks your forgiveness isn't nearly as important as whether you offer it. By offering it unilaterally and sincerely, you follow the example of God. Whether your offer of forgiveness is ever taken up should not influence your offering of it.