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.
[-81.41, 38.013, 107.796, 164.262, 4.859, -26.254, 123.497, -11.105, 127.311, 212.111]