Let's divide 171981 by 15
Our goal is to divide 171981 by 15.

Advancing to step 1:
15 goes into 1 0 times with 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.
Include the next digit (7) from the dividend after 1, then repeat: 17 / 15

Going ahead to step 2:
The number 15 fits into 17 1 times, leaving a remainder of 2.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we subtract 15 from 17, we get 2.
Append the next digit (1) from the dividend to 2 and continue with: 21 / 15

Step 3:
If we divide 21 by 15, we get 1 and a remainder of 6.
Write down 1 as next digit of the result. 
Result so far: 11.0
Subtract 15 from 21 to get 6.
Append the next digit (9) from the dividend to 6 and continue with: 69 / 15

Step 4:
15 can be fit into 69 4 times, resulting in a remainder of 9.
Use 4 as the next digit of our solution. 
Result so far: 114.0
Deduct 60 from 69 and we're left with 9.
Fetch the next digit (8) from the dividend, attach it to 9 and continue: 98 / 15

Let's proceed to step 5:
If we divide 98 by 15, we get 6 and a remainder of 8.
Use 6 as the next digit of our solution. 
Result so far: 1146.0
If we take 90 away from 98, we end up with 8.
Take the next digit (1) from the dividend and append it to 8, then repeat: 81 / 15

Step 6:
When dividing 81 by 15, we get 5 with a remainder of 6.
Record the quotient 5 as the next digit in the result. 
Result so far: 11465.0
Subtract 75 from 81 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 7:
If we divide 60 by 15, we get 4 and a remainder of 0.
Put 4 as the next digit of the answer. 
Result so far: 11465.4
Subtract 60 from 60 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Let's proceed to step 8:
15 can be fit into 0 0 times, resulting in a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 11465.4
Subtracting 0 from 0 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Moving on to step 9:
When dividing 0 by 15, we get 0 with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 11465.4
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The quotient of the division is 11465.4, and the remainder is 0.0.