To solve $100 \div 4(2 + 3)$, we follow the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).

1. Parentheses: First, evaluate what's inside the parentheses: $2 + 3 = 5$ So the expression becomes: $100 \div 4(5)$

2. Multiplication and Division: Now, we need to resolve the division and multiplication from left to right: $100 \div 4 = 25$ Then multiply: $25 \times 5 = 125$

Thus, the final result is: $\boxed{125}$

Would you like more details on how to approach similar problems? Here are some related questions:

1. What is the order of operations and why is it important?
2. How would the result change if there were additional parentheses?
3. Can you provide an example where division and multiplication must be done in a specific sequence?
4. How do parentheses affect the grouping of terms in mathematical expressions?
5. How does this approach differ for expressions involving exponents?

Tip: Always handle operations inside parentheses first before moving on to division and multiplication.