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.
[133.33, -45.32, 56.671, 50.434, 204.879, -19.003, 206.935, 46.147, 34.773, -39.194]