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.
[-36.535, 106.422, 70.12, -59.884, 246.44, -3.675, -49.287, -68.436, 112.992, 33.578]