In this task, you will be given a list of numbers. The goal is to divide all the numbers in the list by a constant such that the sum of the resulting list is 1. The output should be rounded to 3 decimals.
[151.203, -74.056, -10.375, -18.288, 1.593, 105.327, 21.703, 164.316, 78.33, 65.395]