import math


def partition_items(count, bin_size):
    """
    Given the total number of items, determine the number of items that
    can be added to each bin with a limit on the bin size.

    So if you want to partition 11 items into groups of 3, you'll want
    three of three and one of two.

    >>> partition_items(11, 3)
    [3, 3, 3, 2]

    But if you only have ten items, you'll have two groups of three and
    two of two.

    >>> partition_items(10, 3)
    [3, 3, 2, 2]
    """
    num_bins = int(math.ceil(count / float(bin_size)))
    bins = [0] * num_bins
    for i in range(count):
        bins[i % num_bins] += 1
    return bins