Compute: $6\div6-6+6\times6$.
This problem involves order of operations, which means I need to follow the rules of PEMDAS: parentheses, exponents, multiplication/division, and addition/subtraction. I can use this acronym to help me remember which operations to do first, and which ones to do last. Looking at the expression, I don't see any parentheses or exponents, so I can skip those steps. Next, I need to do any multiplication or division that I see from left to right. I see that the first operation is $6\div6$, which is 1. So I can rewrite the expression as $1-6+6\times6$. Next, I see that there is another operation of $6\times6$, which is 36. So I can rewrite the expression again as $1-6+36$. Now, I only have addition and subtraction left, which I do from left to right as well. I see that the first operation is $1-6$, which is -5. So I can rewrite the expression one more time as $-5+36$. Finally, I can do the last operation of $-5+36$, which is 31. So the final answer is 31. 