562531 ÷ 41 
The aim is to understand the frequency of 41 in 562531.

On to step 1:
5 divided by 41 is 0 with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Append the next digit (6) from the dividend to 5 and continue with: 56 / 41

Let's proceed to step 2:
41 goes into 56 1 times with a remainder of 15.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtracting 41 from 56 leaves us with 15.
Take the next digit (2) from the dividend and append it to 15, then repeat: 152 / 41

Moving on to step 3:
When dividing 152 by 41, we get 3 with a remainder of 29.
The number 3 becomes the next digit in our result. 
Result so far: 13.0
The remainder is 29 after subtracting 123 from 152.
Take the next digit (5) from the dividend and append it to 29, then repeat: 295 / 41

Advancing to step 4:
When dividing 295 by 41, we get 7 with a remainder of 8.
Put 7 as the next digit of the answer. 
Result so far: 137.0
If we subtract 287 from 295, we get 8.
Fetch the next digit (3) from the dividend, attach it to 8 and continue: 83 / 41

Step 5:
When dividing 83 by 41, we get 2 with a remainder of 1.
Write down 2 as next digit of the result. 
Result so far: 1372.0
If we take 82 away from 83, we end up with 1.
Bring next digit (1) of the dividend behind the 1 and repeat the process: 11 / 41

Advancing to step 6:
11 divided by 41 is 0 with a remainder of 11.
Record the quotient 0 as the next digit in the result. 
Result so far: 13720.0
If we subtract 0 from 11, we get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Advancing to step 7:
The number 41 fits into 110 2 times, leaving a remainder of 28.
Write down 2 as next digit of the result. 
Result so far: 13720.2
The remainder is 28 after subtracting 82 from 110.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Step 8:
When dividing 280 by 41, we get 6 with a remainder of 34.
Use 6 as the next digit of our solution. 
Result so far: 13720.26
Subtract 246 from 280 to get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Let's proceed to step 9:
The number 41 fits into 340 8 times, leaving a remainder of 12.
The number 8 becomes the next digit in our result. 
Result so far: 13720.268
The remainder is 12 after subtracting 328 from 340.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Going ahead to step 10:
41 goes into 120 2 times with a remainder of 38.
Put 2 as the next digit of the answer. 
Result so far: 13720.2682
Deduct 82 from 120 and we're left with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

On to step 11:
The number 41 fits into 380 9 times, leaving a remainder of 11.
The next digit of our result is 9. 
Result so far: 13720.26829
If we take 369 away from 380, we end up with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Let's proceed to step 12:
The number 41 fits into 110 2 times, leaving a remainder of 28.
The next digit of our result is 2. 
Result so far: 13720.268292
The remainder is 28 after subtracting 82 from 110.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

On to step 13:
The number 41 fits into 280 6 times, leaving a remainder of 34.
Record the quotient 6 as the next digit in the result. 
Result so far: 13720.2682926
Subtract 246 from 280 to get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Let's proceed to step 14:
41 goes into 340 8 times with a remainder of 12.
Use 8 as the next digit of our solution. 
Result so far: 13720.26829268
Deduct 328 from 340 and we're left with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

In conclusion, the division gives 13720.26829268 with a balance of 1.2e-08.