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.

[-31.41, -14.311, 219.097, 19.386, -16.874, -96.636, 155.37, 198.501]
[-0.073 -0.033  0.506  0.045 -0.039 -0.223  0.359  0.458]