826600 ÷ 81 
The aim is to understand the frequency of 81 in 826600.

Advancing to step 1:
When dividing 8 by 81, we get 0 with a remainder of 8.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 8, we get 8.
Grab the next digit (2) from the dividend, add it to 8, then carry on: 82 / 81

Going ahead to step 2:
82 divided by 81 is 1 with a remainder of 1.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtracting 81 from 82 leaves us with 1.
Fetch the next digit (6) from the dividend, attach it to 1 and continue: 16 / 81

Advancing to step 3:
16 divided by 81 is 0 with a remainder of 16.
The next digit of our result is 0. 
Result so far: 10.0
If we subtract 0 from 16, we get 16.
Take the next digit (6) from the dividend and append it to 16, then repeat: 166 / 81

Step 4:
If we divide 166 by 81, we get 2 and a remainder of 4.
The number 2 becomes the next digit in our result. 
Result so far: 102.0
The remainder is 4 after subtracting 162 from 166.
Include the next digit (0) from the dividend after 4, then repeat: 40 / 81

On to step 5:
When dividing 40 by 81, we get 0 with a remainder of 40.
Use 0 as the next digit of our solution. 
Result so far: 1020.0
If we subtract 0 from 40, we get 40.
Append the next digit (0) from the dividend to 40 and continue with: 400 / 81

Going ahead to step 6:
If we divide 400 by 81, we get 4 and a remainder of 76.
The number 4 becomes the next digit in our result. 
Result so far: 10204.0
If we subtract 324 from 400, we get 76.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

On to step 7:
If we divide 760 by 81, we get 9 and a remainder of 31.
Write down 9 as next digit of the result. 
Result so far: 10204.9
Deduct 729 from 760 and we're left with 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Step 8:
If we divide 310 by 81, we get 3 and a remainder of 67.
The number 3 becomes the next digit in our result. 
Result so far: 10204.93
Subtract 243 from 310 to get 67.
Since there are no more digits in the dividend, we add a zero to the remainder making it 670, and continue the process.

Moving on to step 9:
81 can be fit into 670 8 times, resulting in a remainder of 22.
The number 8 becomes the next digit in our result. 
Result so far: 10204.938
If we take 648 away from 670, we end up with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Step 10:
81 goes into 220 2 times with a remainder of 58.
Use 2 as the next digit of our solution. 
Result so far: 10204.9382
The remainder is 58 after subtracting 162 from 220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Moving on to step 11:
If we divide 580 by 81, we get 7 and a remainder of 13.
Record the quotient 7 as the next digit in the result. 
Result so far: 10204.93827
If we take 567 away from 580, we end up with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Let's proceed to step 12:
When dividing 130 by 81, we get 1 with a remainder of 49.
Write down 1 as next digit of the result. 
Result so far: 10204.938271
Deduct 81 from 130 and we're left with 49.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

Going ahead to step 13:
When dividing 490 by 81, we get 6 with a remainder of 4.
The number 6 becomes the next digit in our result. 
Result so far: 10204.9382716
If we take 486 away from 490, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 14:
40 divided by 81 is 0 with a remainder of 40.
Write down 0 as next digit of the result. 
Result so far: 10204.9382716
Deduct 0 from 40 and we're left with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

In conclusion, the division gives 10204.9382716 with a balance of 4e-08.