786543 divided by 41 
The aim is to understand the frequency of 41 in 786543.

Let's proceed to step 1:
41 goes into 7 0 times with a remainder of 7.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 7, we end up with 7.
Take the next digit (8) from the dividend and append it to 7, then repeat: 78 / 41

Let's proceed to step 2:
41 goes into 78 1 times with a remainder of 37.
Use 1 as the next digit of our solution. 
Result so far: 1.0
The remainder is 37 after subtracting 41 from 78.
Append the next digit (6) from the dividend to 37 and continue with: 376 / 41

On to step 3:
The number 41 fits into 376 9 times, leaving a remainder of 7.
Record the quotient 9 as the next digit in the result. 
Result so far: 19.0
If we subtract 369 from 376, we get 7.
Grab the next digit (5) from the dividend, add it to 7, then carry on: 75 / 41

Let's proceed to step 4:
41 goes into 75 1 times with a remainder of 34.
The next digit of our result is 1. 
Result so far: 191.0
If we subtract 41 from 75, we get 34.
Include the next digit (4) from the dividend after 34, then repeat: 344 / 41

Going ahead to step 5:
41 can be fit into 344 8 times, resulting in a remainder of 16.
Put 8 as the next digit of the answer. 
Result so far: 1918.0
If we take 328 away from 344, we end up with 16.
Take the next digit (3) from the dividend and append it to 16, then repeat: 163 / 41

Going ahead to step 6:
163 divided by 41 is 3 with a remainder of 40.
Write down 3 as next digit of the result. 
Result so far: 19183.0
Subtracting 123 from 163 leaves us with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Step 7:
41 goes into 400 9 times with a remainder of 31.
The next digit of our result is 9. 
Result so far: 19183.9
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.

Advancing to step 8:
41 goes into 310 7 times with a remainder of 23.
The next digit of our result is 7. 
Result so far: 19183.97
If we subtract 287 from 310, we get 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Let's proceed to step 9:
41 can be fit into 230 5 times, resulting in a remainder of 25.
The number 5 becomes the next digit in our result. 
Result so far: 19183.975
Deduct 205 from 230 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.

Going ahead to step 10:
41 can be fit into 250 6 times, resulting in a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 19183.9756
The remainder is 4 after subtracting 246 from 250.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 11:
When dividing 40 by 41, we get 0 with a remainder of 40.
Record the quotient 0 as the next digit in the result. 
Result so far: 19183.9756
If we take 0 away from 40, we end up with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Going ahead to step 12:
The number 41 fits into 400 9 times, leaving a remainder of 31.
Use 9 as the next digit of our solution. 
Result so far: 19183.975609
Subtracting 369 from 400 leaves us with 31.
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 13:
41 can be fit into 310 7 times, resulting in a remainder of 23.
Put 7 as the next digit of the answer. 
Result so far: 19183.9756097
The remainder is 23 after subtracting 287 from 310.
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 14:
If we divide 230 by 41, we get 5 and a remainder of 25.
Put 5 as the next digit of the answer. 
Result so far: 19183.97560975
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.

The final outcome is 19183.97560975, with a leftover of 2.5e-08.