First, I would want to make sure the error is not due to a larger computer software glitch. I have worked with systems that were corrupted by updates or programming errors. I make sure my accounting systems are backed up regularly just in case the data gets corrupted. Also, I reconcile all balance sheet accounts during the month and as a part of my month end close process so I would be able tell if the problem is isolated to one general ledger account or if I have a larger problem.
If I discover an error in the accounting system due to an update, I would recover the most recent backup prior to the update. If the problem is only in one account and the balance is only $.24, I would write off the difference to an Miscellaneous Expense account. In my opinion, looking for a $.24 error is not the best use of my time or your resources.   _{Your Comment}