Let's divide 91717 by 11
Our goal is to divide 91717 by 11.

Moving on to step 1:
When dividing 9 by 11, we get 0 with a remainder of 9.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 9, we get 9.
Grab the next digit (1) from the dividend, add it to 9, then carry on: 91 / 11

Let's proceed to step 2:
91 divided by 11 is 8 with a remainder of 3.
The next digit of our result is 8. 
Result so far: 8.0
Deduct 88 from 91 and we're left with 3.
Bring next digit (7) of the dividend behind the 3 and repeat the process: 37 / 11

On to step 3:
If we divide 37 by 11, we get 3 and a remainder of 4.
The number 3 becomes the next digit in our result. 
Result so far: 83.0
If we subtract 33 from 37, we get 4.
Fetch the next digit (1) from the dividend, attach it to 4 and continue: 41 / 11

Moving on to step 4:
If we divide 41 by 11, we get 3 and a remainder of 8.
Use 3 as the next digit of our solution. 
Result so far: 833.0
The remainder is 8 after subtracting 33 from 41.
Append the next digit (7) from the dividend to 8 and continue with: 87 / 11

Step 5:
When dividing 87 by 11, we get 7 with a remainder of 10.
The next digit of our result is 7. 
Result so far: 8337.0
Subtract 77 from 87 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 6:
The number 11 fits into 100 9 times, leaving a remainder of 1.
The next digit of our result is 9. 
Result so far: 8337.9
Deduct 99 from 100 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 7:
When dividing 10 by 11, we get 0 with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 8337.9
Subtract 0 from 10 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 8:
The number 11 fits into 100 9 times, leaving a remainder of 1.
Write down 9 as next digit of the result. 
Result so far: 8337.909
Subtracting 99 from 100 leaves us with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 9:
If we divide 10 by 11, we get 0 and a remainder of 10.
The next digit of our result is 0. 
Result so far: 8337.909
If we take 0 away from 10, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 10:
The number 11 fits into 100 9 times, leaving a remainder of 1.
The number 9 becomes the next digit in our result. 
Result so far: 8337.90909
Subtracting 99 from 100 leaves us with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 11:
10 divided by 11 is 0 with a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 8337.90909
The remainder is 10 after subtracting 0 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 12:
100 divided by 11 is 9 with a remainder of 1.
Use 9 as the next digit of our solution. 
Result so far: 8337.9090909
If we subtract 99 from 100, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 13:
When dividing 10 by 11, we get 0 with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 8337.9090909
If we subtract 0 from 10, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

The quotient of the division is 8337.9090909, and the remainder is 1e-08.