Do not expect anyone to have a perfect past in this matter: only have benchmarks and thresholds that you will not enter in terms of negative 'sorry' history. You can, for example, take employees who appear to be fired because of 'baseless rudeness' but it would be crazy to take someone who is clearly letting go of violence, sabotage, or theft at work.
The pre-employment screening element that you cannot afford to do wrong is a credit history check. If you want to know more about background check for employment types, benefits & regulations then you can explore various online sources.
It gives you insight into employee personal financial management. You can ask about your interest in this matter, especially for employees who will not be involved in financial management.
The answer is how well someone manages their finances is usually a good indicator of how well they control their lives, which in turn is a good indicator of how well their performance as employees in the future.
This is important because you cannot ask someone, empty, how well they control their lives: You must rely on this type of check to give you a glimpse. For potential managers, and especially financial managers, this kind of inspection becomes mandatory.
Of course, because this is not a loan you give, you shouldn't be too strict here. The credit check results must be seen against other elements of pre-employment screening.
You will not see credit scores as numbers, but see something that strongly indicates a large financial irregularity that will make the alarm bell ring.