277505 ÷ 81 
The aim is to understand the frequency of 81 in 277505.

Step 1:
If we divide 2 by 81, we get 0 and a remainder of 2.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 2 leaves us with 2.
Include the next digit (7) from the dividend after 2, then repeat: 27 / 81

Advancing to step 2:
When dividing 27 by 81, we get 0 with a remainder of 27.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 27 after subtracting 0 from 27.
Grab the next digit (7) from the dividend, add it to 27, then carry on: 277 / 81

On to step 3:
When dividing 277 by 81, we get 3 with a remainder of 34.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
The remainder is 34 after subtracting 243 from 277.
Grab the next digit (5) from the dividend, add it to 34, then carry on: 345 / 81

Advancing to step 4:
81 can be fit into 345 4 times, resulting in a remainder of 21.
The number 4 becomes the next digit in our result. 
Result so far: 34.0
Deduct 324 from 345 and we're left with 21.
Grab the next digit (0) from the dividend, add it to 21, then carry on: 210 / 81

Going ahead to step 5:
81 goes into 210 2 times with a remainder of 48.
Write down 2 as next digit of the result. 
Result so far: 342.0
If we subtract 162 from 210, we get 48.
Bring next digit (5) of the dividend behind the 48 and repeat the process: 485 / 81

Moving on to step 6:
81 can be fit into 485 5 times, resulting in a remainder of 80.
Use 5 as the next digit of our solution. 
Result so far: 3425.0
The remainder is 80 after subtracting 405 from 485.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Advancing to step 7:
The number 81 fits into 800 9 times, leaving a remainder of 71.
Put 9 as the next digit of the answer. 
Result so far: 3425.9
If we take 729 away from 800, we end up 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.

Let's proceed to step 8:
The number 81 fits into 710 8 times, leaving a remainder of 62.
Use 8 as the next digit of our solution. 
Result so far: 3425.98
If we take 648 away from 710, we end up with 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Going ahead to step 9:
620 divided by 81 is 7 with a remainder of 53.
Use 7 as the next digit of our solution. 
Result so far: 3425.987
Subtracting 567 from 620 leaves us with 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

Step 10:
81 can be fit into 530 6 times, resulting in a remainder of 44.
Put 6 as the next digit of the answer. 
Result so far: 3425.9876
If we take 486 away from 530, we end up 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.

Let's proceed to step 11:
440 divided by 81 is 5 with a remainder of 35.
Put 5 as the next digit of the answer. 
Result so far: 3425.98765
Deduct 405 from 440 and we're left with 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 12:
If we divide 350 by 81, we get 4 and a remainder of 26.
Use 4 as the next digit of our solution. 
Result so far: 3425.987654
If we subtract 324 from 350, we get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Step 13:
When dividing 260 by 81, we get 3 with a remainder of 17.
Put 3 as the next digit of the answer. 
Result so far: 3425.9876543
Subtract 243 from 260 to get 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 14:
If we divide 170 by 81, we get 2 and a remainder of 8.
The next digit of our result is 2. 
Result so far: 3425.98765432
If we subtract 162 from 170, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

The final result is 3425.98765432 with a remainder of 8e-09.