Division with Ceil and floor in Python without math module

ceil_and_floor_without_math.py

def division(x: int, y: int, method: str = 'float') -> Union[int, float]:
    """
    :param x: dividend
    :param y: divisor
    :param method: {'float', 'round', 'ceil', 'floor'}
    """
    method_mapping = {
        'float': lambda a, b: a / b,
        'nearest': lambda a, b: round(a / b),
        'ceil': lambda a, b: int(a // b + bool(a % b)),
        'floor': lambda a, b: a // b,
    }

    return method_mapping[method](x, y)