Here is a simple program for the HP-35s pocket calculator, to get the nth digit of an integer:
M001 LBL M M002 10x M003 ÷ M004 ENTER M005 INTG M006 - M007 10 M008 × M009 INTG M010 RTN
The program assumes two parameters on the stack, first is the integer, second is the number of the digit it should extract.
Example input to get the 4th digit from right for the number 123456789:
123456789 ENTER 4 XEQ M ENTER
Result is 6!