Let's divide 829878 by 91
The aim is to understand the frequency of 91 in 829878.

Advancing to step 1:
If we divide 8 by 91, we get 0 and a remainder of 8.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 8 leaves us with 8.
Take the next digit (2) from the dividend and append it to 8, then repeat: 82 / 91

On to step 2:
82 divided by 91 is 0 with a remainder of 82.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 82 leaves us with 82.
Grab the next digit (9) from the dividend, add it to 82, then carry on: 829 / 91

Advancing to step 3:
The number 91 fits into 829 9 times, leaving a remainder of 10.
Write down 9 as next digit of the result. 
Result so far: 9.0
Subtract 819 from 829 to get 10.
Take the next digit (8) from the dividend and append it to 10, then repeat: 108 / 91

Advancing to step 4:
91 can be fit into 108 1 times, resulting in a remainder of 17.
The next digit of our result is 1. 
Result so far: 91.0
Subtract 91 from 108 to get 17.
Append the next digit (7) from the dividend to 17 and continue with: 177 / 91

Moving on to step 5:
When dividing 177 by 91, we get 1 with a remainder of 86.
Use 1 as the next digit of our solution. 
Result so far: 911.0
Deduct 91 from 177 and we're left with 86.
Append the next digit (8) from the dividend to 86 and continue with: 868 / 91

Let's proceed to step 6:
868 divided by 91 is 9 with a remainder of 49.
Write down 9 as next digit of the result. 
Result so far: 9119.0
Subtract 819 from 868 to get 49.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

On to step 7:
When dividing 490 by 91, we get 5 with a remainder of 35.
Record the quotient 5 as the next digit in the result. 
Result so far: 9119.5
The remainder is 35 after subtracting 455 from 490.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Let's proceed to step 8:
If we divide 350 by 91, we get 3 and a remainder of 77.
The next digit of our result is 3. 
Result so far: 9119.53
If we subtract 273 from 350, we get 77.
Since there are no more digits in the dividend, we add a zero to the remainder making it 770, and continue the process.

Advancing to step 9:
The number 91 fits into 770 8 times, leaving a remainder of 42.
Use 8 as the next digit of our solution. 
Result so far: 9119.538
If we subtract 728 from 770, we get 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Going ahead to step 10:
420 divided by 91 is 4 with a remainder of 56.
The next digit of our result is 4. 
Result so far: 9119.5384
If we take 364 away from 420, we end up with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Going ahead to step 11:
When dividing 560 by 91, we get 6 with a remainder of 14.
The number 6 becomes the next digit in our result. 
Result so far: 9119.53846
Subtracting 546 from 560 leaves us with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Step 12:
When dividing 140 by 91, we get 1 with a remainder of 49.
Use 1 as the next digit of our solution. 
Result so far: 9119.538461
If we subtract 91 from 140, we get 49.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

On to step 13:
The number 91 fits into 490 5 times, leaving a remainder of 35.
Put 5 as the next digit of the answer. 
Result so far: 9119.5384615
Subtracting 455 from 490 leaves us with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Going ahead to step 14:
When dividing 350 by 91, we get 3 with a remainder of 77.
The number 3 becomes the next digit in our result. 
Result so far: 9119.53846153
The remainder is 77 after subtracting 273 from 350.
Since there are no more digits in the dividend, we add a zero to the remainder making it 770, and continue the process.

The quotient of the division is 9119.53846153, and the remainder is 7.7e-08.