to make it easier, remove the decimals, we'll add those later.
462
x 8
-------
3704
multiply each digit of 462 by 8. you get 3704.
now, since 46.3's decimal is one to the left and .8 is one to the left as well those are 2 place marks
so we move the decimal 2 places to the left in 3704, the answer
and we get 37.04