We can never truly stop suffering, it is a holy truth. It's the manner in which we accept it and work with it that defines our practice. From my own practice, much of my suffering stems from my desires and ego. To each person it may be different in their practice. This is also why enlightenment/Buddhism is a very personal experience and why the Buddha tells us to "Find our own light."
Having learned this personally, my practice has taken on more meaning. To live is to suffer, to suffer is to practice, to practice is joy. We are all enlightened beings and we all suffer. All we need is to practice with our lives to realize this and then we can know peace.