The function you are looking for is called Trace. Run Trace around your input.
Wolfram|Alpha occasionally has "Shows Steps" as a teaching tool. "Show Steps" doesn't actually ever show how the integral was actually calculated. That would be impossible for nearly anyone to understand. It instead devises a series of steps that a human might take in solving the problem.
Simplify and FullSimplify were built to be efficient tools. They weren't designed as educational tools that would describe their output in regular algebraic steps. But fortunately, most stuff Simplify does is readable and understandable by most people who know algebra.