JMO - application of addition, subtraction and multiplication

Your are given that 12345 x 33 = 407385
Use this information, and the concept of addition, subtraction, multiplication and division to arrive at the multiplication of 12345 x 336567.
You cannot  multiply directly.



Answer:

336567 = 330000 + {10000 - 3433} = 330000 + {10000 - [3300 + 100 + 33]}
so, 12345 x 336567=

12345 x { 330000 + 10000 - [3300 + 100 + 33]}

 add:
12345x 330000 = 4073850000
12345 x 10000 =    123450000
---------------------------------
                             4197300000

Add:
12345 x 3300 = 40738500
12345 x 100 =     1234500
12345 x 33 =         407385
-------------------------------
                          42380385

Subtract:
                     4197300000
                         42380385
----------------------------
                     4154919615