1. The problem is to evaluate the expression $6 \div 2(1 + 2)$.\n\n2. According to the order of operations (PEMDAS/BODMAS), we first solve expressions inside parentheses.\n\n3. Calculate the parentheses: $1 + 2 = 3$. So the expression becomes $6 \div 2(3)$.\n\n4. Next, multiplication and division are performed from left to right. So we rewrite the expression as $6 \div 2 \times 3$.\n\n5. Perform the division first: $6 \div 2 = \cancel{6 \div 2} = 3$.\n\n6. Now multiply: $3 \times 3 = 9$.\n\n7. Therefore, the value of the expression is $9$.