829697 divided by 91 
Our goal is to divide 829697 by 91.

Moving on to step 1:
91 goes into 8 0 times with a remainder of 8.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 8, we end up with 8.
Take the next digit (2) from the dividend and append it to 8, then repeat: 82 / 91

Going ahead to step 2:
If we divide 82 by 91, we get 0 and a remainder of 82.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 82 after subtracting 0 from 82.
Append the next digit (9) from the dividend to 82 and continue with: 829 / 91

Let's proceed to step 3:
91 goes into 829 9 times with a remainder of 10.
Record the quotient 9 as the next digit in the result. 
Result so far: 9.0
If we subtract 819 from 829, we get 10.
Bring next digit (6) of the dividend behind the 10 and repeat the process: 106 / 91

Going ahead to step 4:
91 goes into 106 1 times with a remainder of 15.
The next digit of our result is 1. 
Result so far: 91.0
The remainder is 15 after subtracting 91 from 106.
Bring next digit (9) of the dividend behind the 15 and repeat the process: 159 / 91

Let's proceed to step 5:
If we divide 159 by 91, we get 1 and a remainder of 68.
Put 1 as the next digit of the answer. 
Result so far: 911.0
If we subtract 91 from 159, we get 68.
Grab the next digit (7) from the dividend, add it to 68, then carry on: 687 / 91

On to step 6:
When dividing 687 by 91, we get 7 with a remainder of 50.
Write down 7 as next digit of the result. 
Result so far: 9117.0
If we subtract 637 from 687, we get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Step 7:
91 can be fit into 500 5 times, resulting in a remainder of 45.
The next digit of our result is 5. 
Result so far: 9117.5
The remainder is 45 after subtracting 455 from 500.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Going ahead to step 8:
When dividing 450 by 91, we get 4 with a remainder of 86.
The next digit of our result is 4. 
Result so far: 9117.54
The remainder is 86 after subtracting 364 from 450.
Since there are no more digits in the dividend, we add a zero to the remainder making it 860, and continue the process.

Moving on to step 9:
The number 91 fits into 860 9 times, leaving a remainder of 41.
Record the quotient 9 as the next digit in the result. 
Result so far: 9117.549
The remainder is 41 after subtracting 819 from 860.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Going ahead to step 10:
410 divided by 91 is 4 with a remainder of 46.
Write down 4 as next digit of the result. 
Result so far: 9117.5494
Subtracting 364 from 410 leaves us with 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Advancing to step 11:
460 divided by 91 is 5 with a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 9117.54945
Subtract 455 from 460 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 12:
If we divide 50 by 91, we get 0 and a remainder of 50.
Use 0 as the next digit of our solution. 
Result so far: 9117.54945
If we subtract 0 from 50, we get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Going ahead to step 13:
The number 91 fits into 500 5 times, leaving a remainder of 45.
Write down 5 as next digit of the result. 
Result so far: 9117.5494505
If we take 455 away from 500, we end up with 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Moving on to step 14:
The number 91 fits into 450 4 times, leaving a remainder of 86.
The number 4 becomes the next digit in our result. 
Result so far: 9117.54945054
Deduct 364 from 450 and we're left with 86.
Since there are no more digits in the dividend, we add a zero to the remainder making it 860, and continue the process.

The final result is 9117.54945054 with a remainder of 8.6e-08.