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.
[-71.498, -70.608, -3.013, 44.931, 49.536, 49.282, -88.359, -58.374, 247.618, 125.814]