Wow, I can’t believe this is at the bottom of the comments. This is exactly the approach regardless of whether the problem is at work or at home.

Problems: Analyze, break down, examine from all angles and add details. Then try solving.

I spent my career trying to teach this exact concept to my engineering teams. I agree with you 100%.

And if you think it's atomized enough, yet you still have problems then it's not atomized enough. You might have to get deep into first premises and axiom-land.