The truth of the matter is that God knows that we cannot overcome trials and difficulties in our own strength. Jesus exhorts us, "Come to me all who are weary and heavy-laden and I will give you rest. (Mathew 11:28) He also warns us, "In this world, you will have tribulation but be of good cheer for I have overcome the world." (John 16:33) It is evident through just these two scriptures alone that God knows that we cannot handle our darkest trials alone....but He can! Therefore, the more correct statement is that God won't give us more than He can handle.
It is in the painful trials of our lives when we think we can’t go on another day that we can cry out to Him, fall at His feet in sweet surrender and humility and acknowledge our desperate need for Him that He fills us with His supernatural peace, strength, comfort and hope.
In the process, we encounter His very heart. He fills us with His love and grace causing us to bow down in praise and adoration giving God all the glory for meeting us in the depth of our pain and despair and carrying us through it giving us the victory in Jesus. We can’t do it alone.
And He said unto me, My grace is sufficient for you, for My strength is made perfect in weakness." Therefore most gladly I will rather boast in my infirmities, that the power of Christ may rest upon me. (2 Corinthians 12:9)