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.
[-40.11, -97.708, 113.233, -29.674, 100.433, 194.801, -58.745, 104.305, -17.059, -46.847]