Just as the former things (of this world) will not be remembered or come to mind (Isa. 65:17), we won’t be affected in any way by the existence of hell. I don’t think the suffering of those in hell will even come to our mind. John MacArthur indicates in his book, The Glory of Heaven, according to Isaiah 66:22-24, “The destruction of the wicked will ultimately be something for which we will worship God.”1

Yes, I can’t believe we will suffer in the least over those in hell. God will shield our mind and emotions from any suffering. And He has said to us through David in Psalms 16:11,

You will make known to me the path of life;

In Your presence is fullness of joy;

In Your right hand there are pleasures forever.

Hence, if we are full of the joy of His presence and of the pleasure He gives us, how can we at the same time think about and suffer for sinners in hell. It seems to me that God will separate believers from any contact with unbelievers. In Revelation 21:8 and in 22:15, God tells us that those who have chosen an unbelievers life (with all the sins they commit), they will have a special place separated from believers. It is a place that God has designed for them with Satan and all his demons. And we should not be sorry for them or think that God is unjust. He gives them what they deserve. And we all deserve it; but God reached down to all of us and gave His Son to die for us and save us. All we had at do was believe in Him. We who believe have eternal life. But those who chose not to believe and obey Him will not see life, but the wrath of God abides on them (Jn. 3:36).

1 John MacArthur, The Glory of Heaven (Wheaton, Illinois: Crossway Books, 1996), p. 98.