Example:
897
x 284
Multiply 897 by 4 ones.
897
x 284
3588
Multiply 897 by 8 tens.
897
x 284
3588
71760
Multiply 897 by 2 hundreds.
897
x 284
3588
71760
179400
note two zeros inserted
add
897
x 284
3588
71760
179400
254748
The final answer is 254748.