497559 divided by 41 
The aim is to understand the frequency of 41 in 497559.

Let's proceed to step 1:
The number 41 fits into 4 0 times, leaving a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Take the next digit (9) from the dividend and append it to 4, then repeat: 49 / 41

Going ahead to step 2:
The number 41 fits into 49 1 times, leaving a remainder of 8.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we take 41 away from 49, we end up with 8.
Take the next digit (7) from the dividend and append it to 8, then repeat: 87 / 41

On to step 3:
If we divide 87 by 41, we get 2 and a remainder of 5.
Write down 2 as next digit of the result. 
Result so far: 12.0
If we take 82 away from 87, we end up with 5.
Bring next digit (5) of the dividend behind the 5 and repeat the process: 55 / 41

Step 4:
When dividing 55 by 41, we get 1 with a remainder of 14.
Use 1 as the next digit of our solution. 
Result so far: 121.0
Subtract 41 from 55 to get 14.
Bring next digit (5) of the dividend behind the 14 and repeat the process: 145 / 41

Going ahead to step 5:
41 goes into 145 3 times with a remainder of 22.
Put 3 as the next digit of the answer. 
Result so far: 1213.0
The remainder is 22 after subtracting 123 from 145.
Append the next digit (9) from the dividend to 22 and continue with: 229 / 41

Going ahead to step 6:
If we divide 229 by 41, we get 5 and a remainder of 24.
The number 5 becomes the next digit in our result. 
Result so far: 12135.0
The remainder is 24 after subtracting 205 from 229.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Moving on to step 7:
If we divide 240 by 41, we get 5 and a remainder of 35.
Record the quotient 5 as the next digit in the result. 
Result so far: 12135.5
If we take 205 away from 240, we end up with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

On to step 8:
If we divide 350 by 41, we get 8 and a remainder of 22.
Write down 8 as next digit of the result. 
Result so far: 12135.58
Subtract 328 from 350 to get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Going ahead to step 9:
41 goes into 220 5 times with a remainder of 15.
The number 5 becomes the next digit in our result. 
Result so far: 12135.585
Deduct 205 from 220 and we're left with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Let's proceed to step 10:
If we divide 150 by 41, we get 3 and a remainder of 27.
The number 3 becomes the next digit in our result. 
Result so far: 12135.5853
If we subtract 123 from 150, we get 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Going ahead to step 11:
The number 41 fits into 270 6 times, leaving a remainder of 24.
The number 6 becomes the next digit in our result. 
Result so far: 12135.58536
Subtract 246 from 270 to get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Going ahead to step 12:
41 can be fit into 240 5 times, resulting in a remainder of 35.
The next digit of our result is 5. 
Result so far: 12135.585365
If we subtract 205 from 240, we get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Moving on to step 13:
The number 41 fits into 350 8 times, leaving a remainder of 22.
The number 8 becomes the next digit in our result. 
Result so far: 12135.5853658
Subtract 328 from 350 to get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Advancing to step 14:
41 goes into 220 5 times with a remainder of 15.
The next digit of our result is 5. 
Result so far: 12135.58536585
Subtracting 205 from 220 leaves us with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

The final outcome is 12135.58536585, with a leftover of 1.5e-08.