The problem is to evaluate the expression $24 \div (6 - 3 + 1)$.

1. Problem Description

The problem is to evaluate the expression $24 \div (6 - 3 + 1)$.

2. Solution Steps

We need to follow the order of operations (PEMDAS/BODMAS). Parentheses/Brackets first, then Exponents/Orders, then Multiplication and Division (from left to right), and finally Addition and Subtraction (from left to right).

First, we evaluate the expression inside the parentheses:

$6 - 3 + 1$

Since subtraction and addition have the same priority, we perform them from left to right:

$6 - 3 = 3$

$3 + 1 = 4$

So, $6 - 3 + 1 = 4$.

Now, we have:

$24 \div 4$

$24 \div 4 = 6$

3. Final Answer

6