1. The problem is to evaluate the expression $6 \div 2(1+2)$.\n\n2. According to the order of operations (PEMDAS/BODMAS), first solve the parentheses.\n\n3. Calculate inside the parentheses: $1+2=3$. So the expression becomes $6 \div 2(3)$.\n\n4. The expression $6 \div 2(3)$ can be interpreted as $6 \div 2 \times 3$ because multiplication by juxtaposition and explicit multiplication have the same precedence and are evaluated left to right.\n\n5. Perform the division first: $6 \div 2 = 3$.\n\n6. Then multiply: $3 \times 3 = 9$.\n\n7. Therefore, the value of the expression is $9$.