The what? I don't know what you're getting at with this.
> Checking for forgery, active forgery presumably underway
I learned just last week that forged cashier's checks are a risk, which you can get burned by even if your bank makes the mistake. Forged Cashier's checks! Insane. The whole purpose of those is to ensure the money exists before issuing.
I remember with some clarity the moment that Chase Bank suggested that a letter of reference from my bank in Canada might ease matters and they'd just hold my check some extra time for their troubles. And I thought: I don't need to continue at this bank. There is a better than even chance that I can find a bank that treats me better than this.
That's what "you're not from around here" looks like.
Problem is most business checks are written against business banks.
That does not universally eliminate "you're not from around here". Anecdotally, some banks will fingerprint people who show up with a check from that bank if they don't already have an account at that bank.
I have a neighbor with a hobby of accepting and depositing forged cashier's checks from people who want to "buy" a car from him or do some other scam. He knows the checks will be counterfeit, so he leaves the money in his account to cover the the deposit and the $5 returned check fee. Then he posts them here:
Domestic checks barely exist either, the only way you'll ever see one is if the government owes you money for some reason but you haven't told them what your bank account number is.
In some places its "keep money local" and in others its probably confidence they won't be left holding the baby in a scam.
UK check guarantee cards helped solve some of this by security pantomime.
When I moved to a new place, I couldn't pay for anything with a check because I still had my old address printed on the checks and most stores wouldn't accept checks with an out-of-state address printed on it. This was ~18 years ago, so things may be different.
What systems to handle it?
The cashier puts the check under the cash tray like you do for $100 bills, and then you toss the check in the cash bag that you send to the bank that night or at the end of the week or whatever, and the bank handles the check.
I guess I was doing it to service providers rather than stores though - most stores would much rather have had a card payment even back then.