We look at the division of 812970 by 81 
The aim is to understand the frequency of 81 in 812970.

Going ahead to step 1:
81 goes into 8 0 times with a remainder of 8.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 8, we get 8.
Take the next digit (1) from the dividend and append it to 8, then repeat: 81 / 81

Let's proceed to step 2:
81 can be fit into 81 1 times, resulting in a remainder of 0.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we take 81 away from 81, we end up with 0.
Append the next digit (2) from the dividend to 0 and continue with: 2 / 81

Going ahead to step 3:
81 goes into 2 0 times with a remainder of 2.
The next digit of our result is 0. 
Result so far: 10.0
Deduct 0 from 2 and we're left with 2.
Append the next digit (9) from the dividend to 2 and continue with: 29 / 81

Moving on to step 4:
The number 81 fits into 29 0 times, leaving a remainder of 29.
Put 0 as the next digit of the answer. 
Result so far: 100.0
If we take 0 away from 29, we end up with 29.
Append the next digit (7) from the dividend to 29 and continue with: 297 / 81

Let's proceed to step 5:
The number 81 fits into 297 3 times, leaving a remainder of 54.
Put 3 as the next digit of the answer. 
Result so far: 1003.0
If we take 243 away from 297, we end up with 54.
Grab the next digit (0) from the dividend, add it to 54, then carry on: 540 / 81

Let's proceed to step 6:
81 goes into 540 6 times with a remainder of 54.
The next digit of our result is 6. 
Result so far: 10036.0
Subtract 486 from 540 to get 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

On to step 7:
When dividing 540 by 81, we get 6 with a remainder of 54.
Use 6 as the next digit of our solution. 
Result so far: 10036.6
Deduct 486 from 540 and we're left with 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

On to step 8:
When dividing 540 by 81, we get 6 with a remainder of 54.
Record the quotient 6 as the next digit in the result. 
Result so far: 10036.66
The remainder is 54 after subtracting 486 from 540.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

In conclusion, the division gives 10036.66 with a balance of 0.054.