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.
[78.045, -25.139, -54.869, -85.511, 38.744, 186.095, -2.4, 79.8, 116.69, 134.393]