def levelize_path(path):
    """Splits given path to list of paths removing latest level in each step.

    >>> path = '/application/item/new'
    >>> levelize_path(path)
    ['/application/item/new', '/application/item', '/application']
    """
    parts = tuple(filter(None, path.split('/')))
    return ['/' + '/'.join(parts[:n]) for n in range(len(parts), 0, -1)]