Long Division Problem: Dividing 171 by 9 Step-by-Step

We will use the long division method to solve for the quotient when dividing 171 by 9:

• Step 1: Set up the division: Place 171 inside the division bracket, and 9 outside. We will divide 171 by 9.
• Step 2: Divide the first digit: 9 goes into 17 once. Write 1 above the division line.
• Step 3: Multiply and subtract: Multiply 1 by 9 to get 9. Subtract 9 from 17 to get a remainder of 8.
• Step 4: Bring down the next digit: Bring down the next digit (1) from 171, resulting in 81.
• Step 5: Divide the new number: 9 goes into 81 nine times. Write 9 next to the 1 above the division line.
• Step 6: Multiply and subtract: Multiply 9 by 9 to get 81. Subtract 81 from 81, resulting in 0 as the final remainder.

The quotient of 171 divided by 9 is $\mathbf{19}$.

Therefore, the solution to the problem is $19$.