Trying to unlock & access a password locked Android cell phone that has screen damage on a small section so I can't input the last # of password
Things I have done:

Remote into the device
Connect a peripheral input device
Use ADB to send inputs (added bonus of being scriptable and/or AHK/Rainmeter combo)
Use the accessibility tools Assistant Menu or Universal Switches
Screen casting
Specific to Samsung Note series: the phone screen uses two separate touch digitizers.  If one is broken (e.g., touch), the other (in this case the magnetic induction digitizer) may still be functioning.