Don't misunderstand. Jesus is not promising that if we remain in him life's problems will go away. We will always have to face challenges in life. But if we remain in him we can face the challenges with a sense of peace.
Perhaps that is the best way to measure whether or not I am remaining in him. If I am feeling all stressed out, perhaps that indicates that I have stepped out of him into the world. Maybe it's time for me to stop and pray. Take out my Bible and immerse myself in his word. Stop by a church and spend some time in silence before Christ present to us in the Blessed Sacrament.
In the world or in him, where are you right now?