586049 divided by 41 
The aim is to understand the frequency of 41 in 586049.

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
Deduct 0 from 5 and we're left with 5.
Grab the next digit (8) from the dividend, add it to 5, then carry on: 58 / 41

On to step 2:
58 divided by 41 is 1 with a remainder of 17.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Deduct 41 from 58 and we're left with 17.
Bring next digit (6) of the dividend behind the 17 and repeat the process: 176 / 41

Moving on to step 3:
If we divide 176 by 41, we get 4 and a remainder of 12.
Use 4 as the next digit of our solution. 
Result so far: 14.0
Subtract 164 from 176 to get 12.
Include the next digit (0) from the dividend after 12, then repeat: 120 / 41

Advancing to step 4:
41 goes into 120 2 times with a remainder of 38.
Record the quotient 2 as the next digit in the result. 
Result so far: 142.0
The remainder is 38 after subtracting 82 from 120.
Take the next digit (4) from the dividend and append it to 38, then repeat: 384 / 41

Moving on to step 5:
When dividing 384 by 41, we get 9 with a remainder of 15.
Write down 9 as next digit of the result. 
Result so far: 1429.0
Subtracting 369 from 384 leaves us with 15.
Grab the next digit (9) from the dividend, add it to 15, then carry on: 159 / 41

Let's proceed to step 6:
41 can be fit into 159 3 times, resulting in a remainder of 36.
Use 3 as the next digit of our solution. 
Result so far: 14293.0
The remainder is 36 after subtracting 123 from 159.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Step 7:
360 divided by 41 is 8 with a remainder of 32.
Write down 8 as next digit of the result. 
Result so far: 14293.8
Deduct 328 from 360 and we're left with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Advancing to step 8:
When dividing 320 by 41, we get 7 with a remainder of 33.
The next digit of our result is 7. 
Result so far: 14293.87
The remainder is 33 after subtracting 287 from 320.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Moving on to step 9:
330 divided by 41 is 8 with a remainder of 2.
The number 8 becomes the next digit in our result. 
Result so far: 14293.878
Subtract 328 from 330 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 10:
The number 41 fits into 20 0 times, leaving a remainder of 20.
Put 0 as the next digit of the answer. 
Result so far: 14293.878
Subtracting 0 from 20 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Step 11:
200 divided by 41 is 4 with a remainder of 36.
Record the quotient 4 as the next digit in the result. 
Result so far: 14293.87804
Subtracting 164 from 200 leaves us with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Going ahead to step 12:
41 can be fit into 360 8 times, resulting in a remainder of 32.
Put 8 as the next digit of the answer. 
Result so far: 14293.878048
The remainder is 32 after subtracting 328 from 360.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Advancing to step 13:
41 goes into 320 7 times with a remainder of 33.
Record the quotient 7 as the next digit in the result. 
Result so far: 14293.8780487
The remainder is 33 after subtracting 287 from 320.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Let's proceed to step 14:
The number 41 fits into 330 8 times, leaving a remainder of 2.
The next digit of our result is 8. 
Result so far: 14293.87804878
If we subtract 328 from 330, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

The final outcome is 14293.87804878, with a leftover of 2e-09.