Step 1: Identify the expression

The given expression is $13 - 12 \div 4 \times 2$. According to BODMAS, we must perform division and multiplication before subtraction.

$13 - 12 \div 4 \times 2$

Step 2: Perform division

Evaluate the division part first: $12 \div 4 = 3$. The expression becomes $13 - 3 \times 2$.

$12 \div 4 = 3$

Step 3: Perform multiplication

Next, evaluate the multiplication part: $3 \times 2 = 6$. The expression now simplifies to $13 - 6$.

$3 \times 2 = 6$

Step 4: Perform subtraction

Finally, subtract the numbers: $13 - 6 = 7$.

$13 - 6 = 7$