Given the task definition and input, reply with output. 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.

[93.567, 100.118, 196.52, -14.492, 207.779, 66.852, -89.876, 153.844]

[ 0.131  0.14   0.275 -0.02   0.291  0.094 -0.126  0.215]