Today let me try with base 30.

Ex : 34 x 37

step 1: base is 30
step 2: 34 x 37
     +4    + 7

step 3: 34 + 7 / 4 x 7
          = 41 / 28
          = 41 x 3 /  28 ( multiply with 3 as base is 30 )
          = 123 + 2 / 8  ( carry forward 2 )
          = 125/8  
          = 1258
  
Actually these many steps not required. For your understanding purpose, I am explaining step by step.

 One more example

Ex 2 : 33 x 37

base = 30
result = 33 + 7 /  7 x 3
          = 40 / 21
          = 40 x 3 / 21    ( multiply with 3 as base is 30 )
          = 120 / 21        ( carry forward 2 )
          = 1221


we can do second example in  very simple way. How?

Wait till next post...