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.
[202.757, 53.034, 222.02, 69.928, 77.712, 128.444, 121.109, 23.417, -23.934, -41.88]