Let's solve the expression step by step:

$100 \div 4(2 + 3)$

1. Parentheses: First, calculate inside the parentheses.

$2 + 3 = 5$

The expression becomes:

$100 \div 4(5)$

2. Multiplication or Division (from left to right): Now, perform the division first, since division and multiplication are done from left to right.

$100 \div 4 = 25$

3. Final multiplication:

$25 \times 5 = 125$

So, the final result is:

$\boxed{125}$

Would you like further details or have any other questions?

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Here are 5 related questions to explore:

1. How do you solve expressions involving both division and multiplication?
2. What is the order of operations in mathematics (PEMDAS)?
3. How do parentheses affect calculations?
4. Can multiplication be implied without a multiplication sign?
5. What happens when you change the position of operations in an expression?

Tip: Always follow the left-to-right rule when both division and multiplication appear together.