2842 divided by 81 
The aim is to understand the frequency of 81 in 2842.

Moving on to step 1:
2 divided by 81 is 0 with a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 2 to get 2.
Include the next digit (8) from the dividend after 2, then repeat: 28 / 81

Advancing to step 2:
If we divide 28 by 81, we get 0 and a remainder of 28.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 28, we get 28.
Include the next digit (4) from the dividend after 28, then repeat: 284 / 81

Let's proceed to step 3:
When dividing 284 by 81, we get 3 with a remainder of 41.
Use 3 as the next digit of our solution. 
Result so far: 3.0
If we take 243 away from 284, we end up with 41.
Append the next digit (2) from the dividend to 41 and continue with: 412 / 81

Advancing to step 4:
If we divide 412 by 81, we get 5 and a remainder of 7.
Put 5 as the next digit of the answer. 
Result so far: 35.0
If we take 405 away from 412, we end up with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Step 5:
81 goes into 70 0 times with a remainder of 70.
The number 0 becomes the next digit in our result. 
Result so far: 35.0
Subtract 0 from 70 to get 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Let's proceed to step 6:
When dividing 700 by 81, we get 8 with a remainder of 52.
Record the quotient 8 as the next digit in the result. 
Result so far: 35.08
Deduct 648 from 700 and we're left with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Going ahead to step 7:
The number 81 fits into 520 6 times, leaving a remainder of 34.
Record the quotient 6 as the next digit in the result. 
Result so far: 35.086
Subtracting 486 from 520 leaves us with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Advancing to step 8:
The number 81 fits into 340 4 times, leaving a remainder of 16.
The number 4 becomes the next digit in our result. 
Result so far: 35.0864
The remainder is 16 after subtracting 324 from 340.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Advancing to step 9:
When dividing 160 by 81, we get 1 with a remainder of 79.
Record the quotient 1 as the next digit in the result. 
Result so far: 35.08641
If we take 81 away from 160, we end up with 79.
Since there are no more digits in the dividend, we add a zero to the remainder making it 790, and continue the process.

Moving on to step 10:
The number 81 fits into 790 9 times, leaving a remainder of 61.
The next digit of our result is 9. 
Result so far: 35.086419
Deduct 729 from 790 and we're left with 61.
Since there are no more digits in the dividend, we add a zero to the remainder making it 610, and continue the process.

Going ahead to step 11:
When dividing 610 by 81, we get 7 with a remainder of 43.
Write down 7 as next digit of the result. 
Result so far: 35.0864197
Deduct 567 from 610 and we're left with 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

On to step 12:
The number 81 fits into 430 5 times, leaving a remainder of 25.
Put 5 as the next digit of the answer. 
Result so far: 35.08641975
Deduct 405 from 430 and we're left with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

The final result is 35.08641975 with a remainder of 2.5e-08.