We're dividing 823171 by 91 
Our goal is to divide 823171 by 91.

Step 1:
91 can be fit into 8 0 times, resulting in a remainder of 8.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 8 leaves us with 8.
Include the next digit (2) from the dividend after 8, then repeat: 82 / 91

On to step 2:
The number 91 fits into 82 0 times, leaving a remainder of 82.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 82, we get 82.
Include the next digit (3) from the dividend after 82, then repeat: 823 / 91

Going ahead to step 3:
823 divided by 91 is 9 with a remainder of 4.
The number 9 becomes the next digit in our result. 
Result so far: 9.0
Subtracting 819 from 823 leaves us with 4.
Take the next digit (1) from the dividend and append it to 4, then repeat: 41 / 91

Step 4:
41 divided by 91 is 0 with a remainder of 41.
The number 0 becomes the next digit in our result. 
Result so far: 90.0
Subtracting 0 from 41 leaves us with 41.
Grab the next digit (7) from the dividend, add it to 41, then carry on: 417 / 91

Let's proceed to step 5:
The number 91 fits into 417 4 times, leaving a remainder of 53.
Record the quotient 4 as the next digit in the result. 
Result so far: 904.0
Subtract 364 from 417 to get 53.
Bring next digit (1) of the dividend behind the 53 and repeat the process: 531 / 91

Moving on to step 6:
531 divided by 91 is 5 with a remainder of 76.
Use 5 as the next digit of our solution. 
Result so far: 9045.0
The remainder is 76 after subtracting 455 from 531.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

Let's proceed to step 7:
If we divide 760 by 91, we get 8 and a remainder of 32.
Put 8 as the next digit of the answer. 
Result so far: 9045.8
The remainder is 32 after subtracting 728 from 760.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Step 8:
320 divided by 91 is 3 with a remainder of 47.
Use 3 as the next digit of our solution. 
Result so far: 9045.83
If we take 273 away from 320, we end up with 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

Going ahead to step 9:
91 can be fit into 470 5 times, resulting in a remainder of 15.
The next digit of our result is 5. 
Result so far: 9045.835
Deduct 455 from 470 and we're left with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Advancing to step 10:
150 divided by 91 is 1 with a remainder of 59.
Record the quotient 1 as the next digit in the result. 
Result so far: 9045.8351
Deduct 91 from 150 and we're left with 59.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

Step 11:
When dividing 590 by 91, we get 6 with a remainder of 44.
Use 6 as the next digit of our solution. 
Result so far: 9045.83516
Subtract 546 from 590 to get 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Advancing to step 12:
91 can be fit into 440 4 times, resulting in a remainder of 76.
Put 4 as the next digit of the answer. 
Result so far: 9045.835164
If we take 364 away from 440, we end up with 76.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

Moving on to step 13:
760 divided by 91 is 8 with a remainder of 32.
The next digit of our result is 8. 
Result so far: 9045.8351648
The remainder is 32 after subtracting 728 from 760.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

On to step 14:
When dividing 320 by 91, we get 3 with a remainder of 47.
Use 3 as the next digit of our solution. 
Result so far: 9045.83516483
If we subtract 273 from 320, we get 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

After the division, we end up with 9045.83516483 and a remainder of 4.7e-08.