The expression you provided is:

$100 \div 4(2+3)$

First, solve inside the parentheses:

$2+3 = 5$

Now the expression becomes:

$100 \div 4(5)$

Next, we evaluate the multiplication first, as per the order of operations (PEMDAS/BODMAS). This becomes:

$100 \div (4 \times 5) = 100 \div 20$

Finally, divide:

$100 \div 20 = 5$

So, the value of $100 \div 4(2+3)$ is $5$.

Would you like more details or further clarification?

Here are 5 related questions to expand on this concept:

1. How does the order of operations affect solving complex expressions?
2. What is the difference between division and multiplication in terms of priority in the order of operations?
3. How would the result change if parentheses were used differently, like $100 \div (4(2+3))$?
4. Can you simplify $100 \div 4(2+3) \times 2$?
5. What would happen if a fraction replaced the division, like $\frac{100}{4(2+3)}$?

Tip: Always handle parentheses and multiplication before division when they appear side by side, unless parentheses dictate otherwise.