We divide 17161 by 9
We're looking to find how many times 9 goes into 17161.

Going ahead to step 1:
If we divide 1 by 9, we get 0 and a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Grab the next digit (7) from the dividend, add it to 1, then carry on: 17 / 9

On to step 2:
When dividing 17 by 9, we get 1 with a remainder of 8.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtracting 9 from 17 leaves us with 8.
Take the next digit (1) from the dividend and append it to 8, then repeat: 81 / 9

Moving on to step 3:
9 can be fit into 81 9 times, resulting in a remainder of 0.
Put 9 as the next digit of the answer. 
Result so far: 19.0
The remainder is 0 after subtracting 81 from 81.
Fetch the next digit (6) from the dividend, attach it to 0 and continue: 6 / 9

Advancing to step 4:
6 divided by 9 is 0 with a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 190.0
Deduct 0 from 6 and we're left with 6.
Include the next digit (1) from the dividend after 6, then repeat: 61 / 9

Let's proceed to step 5:
If we divide 61 by 9, we get 6 and a remainder of 7.
Record the quotient 6 as the next digit in the result. 
Result so far: 1906.0
The remainder is 7 after subtracting 54 from 61.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Step 6:
The number 9 fits into 70 7 times, leaving a remainder of 7.
Put 7 as the next digit of the answer. 
Result so far: 1906.7
Subtract 63 from 70 to get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Advancing to step 7:
The number 9 fits into 70 7 times, leaving a remainder of 7.
Use 7 as the next digit of our solution. 
Result so far: 1906.77
If we take 63 away from 70, we end up with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

After the division, we end up with 1906.77 and a remainder of 0.007.