We're dividing 676677 by 81 
The aim is to understand the frequency of 81 in 676677.

Step 1:
6 divided by 81 is 0 with a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Include the next digit (7) from the dividend after 6, then repeat: 67 / 81

Advancing to step 2:
81 can be fit into 67 0 times, resulting in a remainder of 67.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 67 and we're left with 67.
Take the next digit (6) from the dividend and append it to 67, then repeat: 676 / 81

Moving on to step 3:
The number 81 fits into 676 8 times, leaving a remainder of 28.
Put 8 as the next digit of the answer. 
Result so far: 8.0
Subtract 648 from 676 to get 28.
Fetch the next digit (6) from the dividend, attach it to 28 and continue: 286 / 81

Step 4:
81 can be fit into 286 3 times, resulting in a remainder of 43.
Use 3 as the next digit of our solution. 
Result so far: 83.0
The remainder is 43 after subtracting 243 from 286.
Append the next digit (7) from the dividend to 43 and continue with: 437 / 81

Let's proceed to step 5:
If we divide 437 by 81, we get 5 and a remainder of 32.
Write down 5 as next digit of the result. 
Result so far: 835.0
If we subtract 405 from 437, we get 32.
Append the next digit (7) from the dividend to 32 and continue with: 327 / 81

Going ahead to step 6:
81 goes into 327 4 times with a remainder of 3.
Use 4 as the next digit of our solution. 
Result so far: 8354.0
Subtract 324 from 327 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Moving on to step 7:
81 goes into 30 0 times with a remainder of 30.
The next digit of our result is 0. 
Result so far: 8354.0
Deduct 0 from 30 and we're left with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Let's proceed to step 8:
The number 81 fits into 300 3 times, leaving a remainder of 57.
The next digit of our result is 3. 
Result so far: 8354.03
Subtract 243 from 300 to get 57.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

On to step 9:
81 can be fit into 570 7 times, resulting in a remainder of 3.
Record the quotient 7 as the next digit in the result. 
Result so far: 8354.037
Deduct 567 from 570 and we're left with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Advancing to step 10:
81 can be fit into 30 0 times, resulting in a remainder of 30.
Write down 0 as next digit of the result. 
Result so far: 8354.037
The remainder is 30 after subtracting 0 from 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Going ahead to step 11:
81 goes into 300 3 times with a remainder of 57.
Write down 3 as next digit of the result. 
Result so far: 8354.03703
Subtract 243 from 300 to get 57.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

Let's proceed to step 12:
81 goes into 570 7 times with a remainder of 3.
Use 7 as the next digit of our solution. 
Result so far: 8354.037037
Subtract 567 from 570 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Step 13:
If we divide 30 by 81, we get 0 and a remainder of 30.
The number 0 becomes the next digit in our result. 
Result so far: 8354.037037
If we take 0 away from 30, we end up with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Moving on to step 14:
81 can be fit into 300 3 times, resulting in a remainder of 57.
Put 3 as the next digit of the answer. 
Result so far: 8354.03703703
If we take 243 away from 300, we end up with 57.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

The final result is 8354.03703703 with a remainder of 5.7e-08.