First, you never have to multiply 166 by 366.

Second, there is a much easier way:

150 x 366 = 1.5 x 366 x 100 = 54900

Eliminates a couple of steps.

Next, add 3660 = 58560

Then do 10 x 366, or 3660, then halve it to 1830 and add to get to 59390

then add 366 to get 60756

Third, I just use my HP 11C.