In my opinion, one thing is true of EVERY job. The process determines success or failure.

That said, there are two types of people in the workforce. Those that understand the process, and those that "follow" the process. It could be that you are following the process and then when mistakes happen you blame yourself because "surely it isn't the process, right?" Not necessarily. All processes have holes in them. And "double checking" isn't some grand fix that puts the blame back on you. If it is, then it needs to be an OFFICIAL "double check", complete with checkbox on a clipboard or something.

Too many managers use "did you double check it" as a way of shifting the blame away from their faulty process onto the workers that are following the faulty process.

But be careful, I am not giving you a license to shift blame onto the process if it really is, in fact, your fault.

My advice is to reflect on how a minor change in the process would have prevented the mistake. Take ownership of that process adjustment. If you aren't allowed to do that, write it down and present it to your manager. This initiative is worth far more than "I'll try to do better next time". Trying to do better next time is faulty. It's like telling a beta version of a software program to not have a glitch next time. It doesn't just fix itself. You have to actively fix the program.

Now, last bit: This is VERY different from "being a perfectionist". Being a perfectionist would be like trying to do all of this in your head. Improving the process MUST take place on paper. So that you DON'T have to carry it around in your head. YOU don't have to be a perfectionist. The process does.

I have taken employees that other departments can't do anything with, and turned them into proud and productive workers. It is usually the managers inability to pinpoint the glitch in the process. Then they like to blame the workers. Fix the process, and unload your brain.