Long Division Problem: Dividing 722 by 9 Step-by-Step

To solve this problem, we'll follow these steps:

• Step 1: Use long division to divide 722 by 9.

• Step 2: Calculate the quotient and remainder during division.

• Step 3: Verify against the given multiple-choice options.

Now, let's work through each step:

Step 1: Begin with the long division of 722 by 9.

Step 2: Breakdown the division:
- 9 goes into 72 eight times (because $9 \times 8 = 72$). - Subtract $72$ from $72$, leaving $0$.
- Bring down the next digit $2$.
- 9 goes into 2 zero times.
- This gives a quotient of $80$ and a remainder of $2$, since $80 \times 9 + 2 = 722$.

Step 3: Verify with choices:
- Compare the quotient $80$ and remainder $2$ against the options provided.
- The correct choice is: $80$ with a remainder of $2$.

Thus, the answer is that $9$ goes into $722$, leaving a quotient of $\mathbf{80}$ and a remainder of $\mathbf{2}$.