41167 ÷ 81 
The aim is to understand the frequency of 81 in 41167.

Let's proceed to step 1:
The number 81 fits into 4 0 times, leaving a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Bring next digit (1) of the dividend behind the 4 and repeat the process: 41 / 81

Moving on to step 2:
If we divide 41 by 81, we get 0 and a remainder of 41.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 41, we end up with 41.
Append the next digit (1) from the dividend to 41 and continue with: 411 / 81

Step 3:
The number 81 fits into 411 5 times, leaving a remainder of 6.
Put 5 as the next digit of the answer. 
Result so far: 5.0
Subtract 405 from 411 to get 6.
Bring next digit (6) of the dividend behind the 6 and repeat the process: 66 / 81

Moving on to step 4:
81 can be fit into 66 0 times, resulting in a remainder of 66.
The number 0 becomes the next digit in our result. 
Result so far: 50.0
Subtracting 0 from 66 leaves us with 66.
Fetch the next digit (7) from the dividend, attach it to 66 and continue: 667 / 81

Moving on to step 5:
667 divided by 81 is 8 with a remainder of 19.
Use 8 as the next digit of our solution. 
Result so far: 508.0
Subtracting 648 from 667 leaves us with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Moving on to step 6:
81 can be fit into 190 2 times, resulting in a remainder of 28.
The next digit of our result is 2. 
Result so far: 508.2
The remainder is 28 after subtracting 162 from 190.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Let's proceed to step 7:
81 goes into 280 3 times with a remainder of 37.
Use 3 as the next digit of our solution. 
Result so far: 508.23
Subtracting 243 from 280 leaves us with 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Step 8:
When dividing 370 by 81, we get 4 with a remainder of 46.
Use 4 as the next digit of our solution. 
Result so far: 508.234
Deduct 324 from 370 and we're left with 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Advancing to step 9:
When dividing 460 by 81, we get 5 with a remainder of 55.
The number 5 becomes the next digit in our result. 
Result so far: 508.2345
The remainder is 55 after subtracting 405 from 460.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Advancing to step 10:
The number 81 fits into 550 6 times, leaving a remainder of 64.
The next digit of our result is 6. 
Result so far: 508.23456
Subtracting 486 from 550 leaves us with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Advancing to step 11:
81 can be fit into 640 7 times, resulting in a remainder of 73.
Put 7 as the next digit of the answer. 
Result so far: 508.234567
If we take 567 away from 640, we end up with 73.
Since there are no more digits in the dividend, we add a zero to the remainder making it 730, and continue the process.

Step 12:
If we divide 730 by 81, we get 9 and a remainder of 1.
Write down 9 as next digit of the result. 
Result so far: 508.2345679
If we subtract 729 from 730, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Going ahead to step 13:
When dividing 10 by 81, we get 0 with a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 508.2345679
If we take 0 away from 10, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

The final outcome is 508.2345679, with a leftover of 1e-08.