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.
[134.732, 196.502, -12.388, -53.837, 54.783, 153.179, 81.65, 240.321, -51.563, -33.569]