38515 ÷ 41 
The aim is to understand the frequency of 41 in 38515.

Step 1:
3 divided by 41 is 0 with a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Take the next digit (8) from the dividend and append it to 3, then repeat: 38 / 41

Let's proceed to step 2:
41 can be fit into 38 0 times, resulting in a remainder of 38.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 38 to get 38.
Include the next digit (5) from the dividend after 38, then repeat: 385 / 41

Advancing to step 3:
If we divide 385 by 41, we get 9 and a remainder of 16.
Record the quotient 9 as the next digit in the result. 
Result so far: 9.0
If we take 369 away from 385, we end up with 16.
Fetch the next digit (1) from the dividend, attach it to 16 and continue: 161 / 41

Let's proceed to step 4:
When dividing 161 by 41, we get 3 with a remainder of 38.
Use 3 as the next digit of our solution. 
Result so far: 93.0
The remainder is 38 after subtracting 123 from 161.
Include the next digit (5) from the dividend after 38, then repeat: 385 / 41

On to step 5:
When dividing 385 by 41, we get 9 with a remainder of 16.
The next digit of our result is 9. 
Result so far: 939.0
Deduct 369 from 385 and we're left with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Step 6:
41 can be fit into 160 3 times, resulting in a remainder of 37.
Put 3 as the next digit of the answer. 
Result so far: 939.3
Deduct 123 from 160 and we're left 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.

Advancing to step 7:
41 goes into 370 9 times with a remainder of 1.
Record the quotient 9 as the next digit in the result. 
Result so far: 939.39
Subtract 369 from 370 to 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.

Step 8:
The number 41 fits into 10 0 times, leaving a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 939.39
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.

Advancing to step 9:
100 divided by 41 is 2 with a remainder of 18.
Record the quotient 2 as the next digit in the result. 
Result so far: 939.3902
If we take 82 away from 100, we end up with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Advancing to step 10:
41 can be fit into 180 4 times, resulting in a remainder of 16.
Use 4 as the next digit of our solution. 
Result so far: 939.39024
Deduct 164 from 180 and we're left with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

On to step 11:
41 can be fit into 160 3 times, resulting in a remainder of 37.
Write down 3 as next digit of the result. 
Result so far: 939.390243
Deduct 123 from 160 and we're left 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.

On to step 12:
When dividing 370 by 41, we get 9 with a remainder of 1.
Use 9 as the next digit of our solution. 
Result so far: 939.3902439
If we take 369 away from 370, we end up with 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:
41 goes into 10 0 times with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 939.3902439
Deduct 0 from 10 and we're left 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.

In conclusion, the division gives 939.3902439 with a balance of 1e-08.