As a Bible teacher you'll need to help people recognize there are two kinds of brokenness before God, and distinguish between them.
Scott Rodgers gives very helpful counsel:
"First, brokenness can be the result of sin. We’ve messed everything up and now, life is just broken. Second, brokenness can be the result of surrender. We’ve submitted ourselves to the purposes of God so much that we are experiencing pain; the pain of selflessness, submission, being misunderstood, etc.
It’s critical we don’t confuse the two. We need to stop saying, “God is breaking me,” when we’re really just breaking ourselves by repeating destructive, sinful behavior. And, if you’re experiencing brokenness as the result of surrender, lean into it; you’re going through a process of transformation.
Help. I’m broken and I can’t get up. I’m flat on my back. My sin is great. Lord, please forgive me and restore me.
Help. I’m broken and I can’t get up. I’m on my knees. My surrender is great. Lord, please give me the strength to stay the course."
To some degree the people you minister to will experience both, though not at the same time. It's important to help people see which is the proper response to their situation -- and in neither situation do we have the right to blame God for anything.