Let's divide 513869 by 41
The aim is to understand the frequency of 41 in 513869.

Moving on to step 1:
If we divide 5 by 41, we get 0 and a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Take the next digit (1) from the dividend and append it to 5, then repeat: 51 / 41

Step 2:
If we divide 51 by 41, we get 1 and a remainder of 10.
Write down 1 as next digit of the result. 
Result so far: 1.0
Deduct 41 from 51 and we're left with 10.
Include the next digit (3) from the dividend after 10, then repeat: 103 / 41

Going ahead to step 3:
When dividing 103 by 41, we get 2 with a remainder of 21.
The number 2 becomes the next digit in our result. 
Result so far: 12.0
Deduct 82 from 103 and we're left with 21.
Grab the next digit (8) from the dividend, add it to 21, then carry on: 218 / 41

On to step 4:
218 divided by 41 is 5 with a remainder of 13.
Write down 5 as next digit of the result. 
Result so far: 125.0
If we subtract 205 from 218, we get 13.
Bring next digit (6) of the dividend behind the 13 and repeat the process: 136 / 41

Let's proceed to step 5:
When dividing 136 by 41, we get 3 with a remainder of 13.
The number 3 becomes the next digit in our result. 
Result so far: 1253.0
If we take 123 away from 136, we end up with 13.
Include the next digit (9) from the dividend after 13, then repeat: 139 / 41

Moving on to step 6:
If we divide 139 by 41, we get 3 and a remainder of 16.
Put 3 as the next digit of the answer. 
Result so far: 12533.0
If we take 123 away from 139, we end up 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.

Let's proceed to step 7:
41 can be fit into 160 3 times, resulting in a remainder of 37.
Use 3 as the next digit of our solution. 
Result so far: 12533.3
If we take 123 away from 160, we end up 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.

Going ahead to step 8:
370 divided by 41 is 9 with a remainder of 1.
The number 9 becomes the next digit in our result. 
Result so far: 12533.39
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.

Step 9:
41 can be fit into 10 0 times, resulting in a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 12533.39
The remainder is 10 after subtracting 0 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 10:
100 divided by 41 is 2 with a remainder of 18.
The number 2 becomes the next digit in our result. 
Result so far: 12533.3902
Deduct 82 from 100 and we're left 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 11:
41 can be fit into 180 4 times, resulting in a remainder of 16.
Record the quotient 4 as the next digit in the result. 
Result so far: 12533.39024
The remainder is 16 after subtracting 164 from 180.
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 12:
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: 12533.390243
If we subtract 123 from 160, we get 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Let's proceed to step 13:
The number 41 fits into 370 9 times, leaving a remainder of 1.
Record the quotient 9 as the next digit in the result. 
Result so far: 12533.3902439
If we subtract 369 from 370, we 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.

Let's proceed to step 14:
If we divide 10 by 41, we get 0 and a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 12533.3902439
Subtracting 0 from 10 leaves us 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.

The final outcome is 12533.3902439, with a leftover of 1e-08.