The adverbs I would use in such a situation is [**mindlessly**](http://www.thefreedictionary.com/mindlessly) "without intellectual involvement", or  [**absentmindedly**](http://www.merriam-webster.com/dictionary/absentmindedly) "resulting from preoccupation or absence of mind".

> I absentmindedly typed my old password.  
> I keep mindlessly writing the wrong year on my checks.