We look at the division of 589022 by 81 
The aim is to understand the frequency of 81 in 589022.

Going ahead to step 1:
81 can be fit into 5 0 times, resulting in a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Append the next digit (8) from the dividend to 5 and continue with: 58 / 81

Step 2:
If we divide 58 by 81, we get 0 and a remainder of 58.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 58 leaves us with 58.
Take the next digit (9) from the dividend and append it to 58, then repeat: 589 / 81

Step 3:
The number 81 fits into 589 7 times, leaving a remainder of 22.
Write down 7 as next digit of the result. 
Result so far: 7.0
Subtracting 567 from 589 leaves us with 22.
Append the next digit (0) from the dividend to 22 and continue with: 220 / 81

Moving on to step 4:
The number 81 fits into 220 2 times, leaving a remainder of 58.
The number 2 becomes the next digit in our result. 
Result so far: 72.0
The remainder is 58 after subtracting 162 from 220.
Include the next digit (2) from the dividend after 58, then repeat: 582 / 81

Step 5:
The number 81 fits into 582 7 times, leaving a remainder of 15.
The number 7 becomes the next digit in our result. 
Result so far: 727.0
If we subtract 567 from 582, we get 15.
Grab the next digit (2) from the dividend, add it to 15, then carry on: 152 / 81

Advancing to step 6:
If we divide 152 by 81, we get 1 and a remainder of 71.
Put 1 as the next digit of the answer. 
Result so far: 7271.0
Subtracting 81 from 152 leaves us with 71.
Since there are no more digits in the dividend, we add a zero to the remainder making it 710, and continue the process.

Moving on to step 7:
710 divided by 81 is 8 with a remainder of 62.
Use 8 as the next digit of our solution. 
Result so far: 7271.8
Subtract 648 from 710 to get 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

On to step 8:
If we divide 620 by 81, we get 7 and a remainder of 53.
Write down 7 as next digit of the result. 
Result so far: 7271.87
If we subtract 567 from 620, we get 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

On to step 9:
530 divided by 81 is 6 with a remainder of 44.
The number 6 becomes the next digit in our result. 
Result so far: 7271.876
Deduct 486 from 530 and we're left with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Moving on to step 10:
When dividing 440 by 81, we get 5 with a remainder of 35.
Use 5 as the next digit of our solution. 
Result so far: 7271.8765
Subtract 405 from 440 to get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Advancing to step 11:
81 can be fit into 350 4 times, resulting in a remainder of 26.
Write down 4 as next digit of the result. 
Result so far: 7271.87654
The remainder is 26 after subtracting 324 from 350.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Moving on to step 12:
81 goes into 260 3 times with a remainder of 17.
Use 3 as the next digit of our solution. 
Result so far: 7271.876543
Deduct 243 from 260 and we're left with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Let's proceed to step 13:
When dividing 170 by 81, we get 2 with a remainder of 8.
Record the quotient 2 as the next digit in the result. 
Result so far: 7271.8765432
Deduct 162 from 170 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Going ahead to step 14:
If we divide 80 by 81, we get 0 and a remainder of 80.
Record the quotient 0 as the next digit in the result. 
Result so far: 7271.8765432
Subtract 0 from 80 to get 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

The final outcome is 7271.8765432, with a leftover of 8e-08.