I understand that the the distributive law cannot be applied to division over addition/subtraction, but is there an equivalent law to expand it out. For example, I know: $$100 \times (5 + 3) = (100 \times 5) + (100 \times 3),$$ but with $$100 \div (5 + 3),$$ I can't do (that is, is not equal to) $$(100 \div 5) + (100\div 3).$$
Is there a way I can "distribute" when it is division over addition/subtraction?