Let's divide 806441 by 81
The aim is to understand the frequency of 81 in 806441.

Step 1:
8 divided by 81 is 0 with a remainder of 8.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 8 to get 8.
Bring next digit (0) of the dividend behind the 8 and repeat the process: 80 / 81

On to step 2:
If we divide 80 by 81, we get 0 and a remainder of 80.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 80 leaves us with 80.
Fetch the next digit (6) from the dividend, attach it to 80 and continue: 806 / 81

On to step 3:
If we divide 806 by 81, we get 9 and a remainder of 77.
Use 9 as the next digit of our solution. 
Result so far: 9.0
The remainder is 77 after subtracting 729 from 806.
Bring next digit (4) of the dividend behind the 77 and repeat the process: 774 / 81

Advancing to step 4:
81 goes into 774 9 times with a remainder of 45.
Use 9 as the next digit of our solution. 
Result so far: 99.0
Deduct 729 from 774 and we're left with 45.
Include the next digit (4) from the dividend after 45, then repeat: 454 / 81

Step 5:
454 divided by 81 is 5 with a remainder of 49.
Use 5 as the next digit of our solution. 
Result so far: 995.0
Subtracting 405 from 454 leaves us with 49.
Bring next digit (1) of the dividend behind the 49 and repeat the process: 491 / 81

On to step 6:
When dividing 491 by 81, we get 6 with a remainder of 5.
Use 6 as the next digit of our solution. 
Result so far: 9956.0
The remainder is 5 after subtracting 486 from 491.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 7:
50 divided by 81 is 0 with a remainder of 50.
Record the quotient 0 as the next digit in the result. 
Result so far: 9956.0
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.

On to step 8:
If we divide 500 by 81, we get 6 and a remainder of 14.
Use 6 as the next digit of our solution. 
Result so far: 9956.06
Subtract 486 from 500 to get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Let's proceed to step 9:
140 divided by 81 is 1 with a remainder of 59.
Use 1 as the next digit of our solution. 
Result so far: 9956.061
Subtract 81 from 140 to get 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 10:
590 divided by 81 is 7 with a remainder of 23.
Write down 7 as next digit of the result. 
Result so far: 9956.0617
If we subtract 567 from 590, we get 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Let's proceed to step 11:
81 can be fit into 230 2 times, resulting in a remainder of 68.
The next digit of our result is 2. 
Result so far: 9956.06172
If we subtract 162 from 230, we get 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Going ahead to step 12:
The number 81 fits into 680 8 times, leaving a remainder of 32.
The next digit of our result is 8. 
Result so far: 9956.061728
If we subtract 648 from 680, we get 32.
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 13:
81 can be fit into 320 3 times, resulting in a remainder of 77.
Record the quotient 3 as the next digit in the result. 
Result so far: 9956.0617283
Deduct 243 from 320 and we're left with 77.
Since there are no more digits in the dividend, we add a zero to the remainder making it 770, and continue the process.

Moving on to step 14:
81 goes into 770 9 times with a remainder of 41.
Put 9 as the next digit of the answer. 
Result so far: 9956.06172839
If we subtract 729 from 770, we get 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

The final result is 9956.06172839 with a remainder of 4.1e-08.