We divide 525877 by 41
The aim is to understand the frequency of 41 in 525877.

Moving on to step 1:
If we divide 5 by 41, we get 0 and a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Take the next digit (2) from the dividend and append it to 5, then repeat: 52 / 41

Let's proceed to step 2:
When dividing 52 by 41, we get 1 with a remainder of 11.
The next digit of our result is 1. 
Result so far: 1.0
If we subtract 41 from 52, we get 11.
Take the next digit (5) from the dividend and append it to 11, then repeat: 115 / 41

Going ahead to step 3:
115 divided by 41 is 2 with a remainder of 33.
The next digit of our result is 2. 
Result so far: 12.0
If we subtract 82 from 115, we get 33.
Grab the next digit (8) from the dividend, add it to 33, then carry on: 338 / 41

Moving on to step 4:
41 can be fit into 338 8 times, resulting in a remainder of 10.
Put 8 as the next digit of the answer. 
Result so far: 128.0
Subtracting 328 from 338 leaves us with 10.
Grab the next digit (7) from the dividend, add it to 10, then carry on: 107 / 41

Moving on to step 5:
41 can be fit into 107 2 times, resulting in a remainder of 25.
Record the quotient 2 as the next digit in the result. 
Result so far: 1282.0
If we take 82 away from 107, we end up with 25.
Grab the next digit (7) from the dividend, add it to 25, then carry on: 257 / 41

Going ahead to step 6:
257 divided by 41 is 6 with a remainder of 11.
The next digit of our result is 6. 
Result so far: 12826.0
If we take 246 away from 257, we end up with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

On to step 7:
110 divided by 41 is 2 with a remainder of 28.
Record the quotient 2 as the next digit in the result. 
Result so far: 12826.2
If we take 82 away from 110, we end up with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Going ahead to step 8:
When dividing 280 by 41, we get 6 with a remainder of 34.
The next digit of our result is 6. 
Result so far: 12826.26
If we take 246 away from 280, we end up with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Step 9:
The number 41 fits into 340 8 times, leaving a remainder of 12.
The next digit of our result is 8. 
Result so far: 12826.268
Deduct 328 from 340 and we're left with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Going ahead to step 10:
If we divide 120 by 41, we get 2 and a remainder of 38.
Record the quotient 2 as the next digit in the result. 
Result so far: 12826.2682
If we take 82 away from 120, we end up with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

On to step 11:
When dividing 380 by 41, we get 9 with a remainder of 11.
The number 9 becomes the next digit in our result. 
Result so far: 12826.26829
Deduct 369 from 380 and we're left with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Let's proceed to step 12:
The number 41 fits into 110 2 times, leaving a remainder of 28.
Use 2 as the next digit of our solution. 
Result so far: 12826.268292
If we subtract 82 from 110, we get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Going ahead to step 13:
280 divided by 41 is 6 with a remainder of 34.
Write down 6 as next digit of the result. 
Result so far: 12826.2682926
The remainder is 34 after subtracting 246 from 280.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Going ahead to step 14:
When dividing 340 by 41, we get 8 with a remainder of 12.
The next digit of our result is 8. 
Result so far: 12826.26829268
Subtracting 328 from 340 leaves us with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

The final outcome is 12826.26829268, with a leftover of 1.2e-08.