1. The problem is to evaluate the expression $6 \div 2(1+2)$. 2. According to the order of operations (PEMDAS/BODMAS), we first solve expressions inside parentheses. 3. Calculate the parentheses: $1+2=3$. So the expression becomes $6 \div 2(3)$. 4. Next, multiplication and division are performed from left to right. So, first do $6 \div 2 = 3$. 5. Then multiply by $3$: $3 \times 3 = 9$. 6. Therefore, the value of the expression is $9$.