Let's divide 27781 by 41
The aim is to understand the frequency of 41 in 27781.

Advancing to step 1:
41 goes into 2 0 times with a remainder of 2.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 2 leaves us with 2.
Grab the next digit (7) from the dividend, add it to 2, then carry on: 27 / 41

On to step 2:
When dividing 27 by 41, we get 0 with a remainder of 27.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 27, we get 27.
Include the next digit (7) from the dividend after 27, then repeat: 277 / 41

Moving on to step 3:
41 goes into 277 6 times with a remainder of 31.
Write down 6 as next digit of the result. 
Result so far: 6.0
Subtracting 246 from 277 leaves us with 31.
Grab the next digit (8) from the dividend, add it to 31, then carry on: 318 / 41

Moving on to step 4:
When dividing 318 by 41, we get 7 with a remainder of 31.
Use 7 as the next digit of our solution. 
Result so far: 67.0
If we subtract 287 from 318, we get 31.
Bring next digit (1) of the dividend behind the 31 and repeat the process: 311 / 41

On to step 5:
41 goes into 311 7 times with a remainder of 24.
Put 7 as the next digit of the answer. 
Result so far: 677.0
Deduct 287 from 311 and we're left with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Moving on to step 6:
41 can be fit into 240 5 times, resulting in a remainder of 35.
Put 5 as the next digit of the answer. 
Result so far: 677.5
If we subtract 205 from 240, we get 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 7:
350 divided by 41 is 8 with a remainder of 22.
The number 8 becomes the next digit in our result. 
Result so far: 677.58
If we take 328 away from 350, we end up with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Advancing to step 8:
When dividing 220 by 41, we get 5 with a remainder of 15.
Use 5 as the next digit of our solution. 
Result so far: 677.585
The remainder is 15 after subtracting 205 from 220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Moving on to step 9:
The number 41 fits into 150 3 times, leaving a remainder of 27.
The number 3 becomes the next digit in our result. 
Result so far: 677.5853
Subtracting 123 from 150 leaves us with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Advancing to step 10:
When dividing 270 by 41, we get 6 with a remainder of 24.
The next digit of our result is 6. 
Result so far: 677.58536
The remainder is 24 after subtracting 246 from 270.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Moving on to step 11:
If we divide 240 by 41, we get 5 and a remainder of 35.
The next digit of our result is 5. 
Result so far: 677.585365
If we subtract 205 from 240, we get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Step 12:
When dividing 350 by 41, we get 8 with a remainder of 22.
The next digit of our result is 8. 
Result so far: 677.5853658
If we subtract 328 from 350, we get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Going ahead to step 13:
If we divide 220 by 41, we get 5 and a remainder of 15.
Put 5 as the next digit of the answer. 
Result so far: 677.58536585
Subtracting 205 from 220 leaves us with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

In conclusion, the division gives 677.58536585 with a balance of 1.5e-08.