We're dividing 10767 by 41 
The aim is to understand the frequency of 41 in 10767.

Advancing to step 1:
41 goes into 1 0 times with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Take the next digit (0) from the dividend and append it to 1, then repeat: 10 / 41

Step 2:
41 can be fit into 10 0 times, resulting in a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 10, we end up with 10.
Take the next digit (7) from the dividend and append it to 10, then repeat: 107 / 41

Step 3:
107 divided by 41 is 2 with a remainder of 25.
Put 2 as the next digit of the answer. 
Result so far: 2.0
Subtract 82 from 107 to get 25.
Include the next digit (6) from the dividend after 25, then repeat: 256 / 41

Step 4:
41 can be fit into 256 6 times, resulting in a remainder of 10.
The number 6 becomes the next digit in our result. 
Result so far: 26.0
If we subtract 246 from 256, we get 10.
Include the next digit (7) from the dividend after 10, then repeat: 107 / 41

On to step 5:
When dividing 107 by 41, we get 2 with a remainder of 25.
Use 2 as the next digit of our solution. 
Result so far: 262.0
Deduct 82 from 107 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.

Step 6:
41 goes into 250 6 times with a remainder of 4.
The next digit of our result is 6. 
Result so far: 262.6
If we subtract 246 from 250, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 7:
If we divide 40 by 41, we get 0 and a remainder of 40.
Record the quotient 0 as the next digit in the result. 
Result so far: 262.6
If we subtract 0 from 40, we get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Moving on to step 8:
If we divide 400 by 41, we get 9 and a remainder of 31.
Put 9 as the next digit of the answer. 
Result so far: 262.609
The remainder is 31 after subtracting 369 from 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

On to step 9:
When dividing 310 by 41, we get 7 with a remainder of 23.
The number 7 becomes the next digit in our result. 
Result so far: 262.6097
Deduct 287 from 310 and we're left with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Going ahead to step 10:
230 divided by 41 is 5 with a remainder of 25.
Record the quotient 5 as the next digit in the result. 
Result so far: 262.60975
Subtracting 205 from 230 leaves us 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.

Advancing to step 11:
When dividing 250 by 41, we get 6 with a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 262.609756
Subtracting 246 from 250 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 12:
41 goes into 40 0 times with a remainder of 40.
Write down 0 as next digit of the result. 
Result so far: 262.609756
The remainder is 40 after subtracting 0 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Moving on to step 13:
41 goes into 400 9 times with a remainder of 31.
Use 9 as the next digit of our solution. 
Result so far: 262.60975609
Subtract 369 from 400 to get 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

After the division, we end up with 262.60975609 and a remainder of 3.1e-08.