559660 divided by 41 
The aim is to understand the frequency of 41 in 559660.

Going ahead to step 1:
If we divide 5 by 41, we get 0 and a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Fetch the next digit (5) from the dividend, attach it to 5 and continue: 55 / 41

Going ahead to step 2:
55 divided by 41 is 1 with a remainder of 14.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Deduct 41 from 55 and we're left with 14.
Append the next digit (9) from the dividend to 14 and continue with: 149 / 41

Advancing to step 3:
149 divided by 41 is 3 with a remainder of 26.
Write down 3 as next digit of the result. 
Result so far: 13.0
Subtract 123 from 149 to get 26.
Fetch the next digit (6) from the dividend, attach it to 26 and continue: 266 / 41

Let's proceed to step 4:
If we divide 266 by 41, we get 6 and a remainder of 20.
The next digit of our result is 6. 
Result so far: 136.0
Subtracting 246 from 266 leaves us with 20.
Bring next digit (6) of the dividend behind the 20 and repeat the process: 206 / 41

Advancing to step 5:
41 goes into 206 5 times with a remainder of 1.
Use 5 as the next digit of our solution. 
Result so far: 1365.0
Subtracting 205 from 206 leaves us with 1.
Bring next digit (0) of the dividend behind the 1 and repeat the process: 10 / 41

On to step 6:
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: 13650.0
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.

Moving on to step 7:
100 divided by 41 is 2 with a remainder of 18.
Write down 2 as next digit of the result. 
Result so far: 13650.2
If we subtract 82 from 100, we get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Moving on to step 8:
41 goes into 180 4 times with a remainder of 16.
Use 4 as the next digit of our solution. 
Result so far: 13650.24
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 9:
The number 41 fits into 160 3 times, leaving a remainder of 37.
Use 3 as the next digit of our solution. 
Result so far: 13650.243
The remainder is 37 after subtracting 123 from 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Step 10:
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: 13650.2439
Subtracting 369 from 370 leaves us 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.

Let's proceed to step 11:
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: 13650.2439
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.

Let's proceed to step 12:
The number 41 fits into 100 2 times, leaving a remainder of 18.
The next digit of our result is 2. 
Result so far: 13650.243902
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.

On to step 13:
If we divide 180 by 41, we get 4 and a remainder of 16.
The number 4 becomes the next digit in our result. 
Result so far: 13650.2439024
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.

Moving on to step 14:
The number 41 fits into 160 3 times, leaving a remainder of 37.
Use 3 as the next digit of our solution. 
Result so far: 13650.24390243
Subtracting 123 from 160 leaves us 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.

The final result is 13650.24390243 with a remainder of 3.7e-08.