502314 ÷ 41 
The aim is to understand the frequency of 41 in 502314.

Advancing to step 1:
If we divide 5 by 41, we get 0 and a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Append the next digit (0) from the dividend to 5 and continue with: 50 / 41

Moving on to step 2:
41 can be fit into 50 1 times, resulting in a remainder of 9.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtracting 41 from 50 leaves us with 9.
Grab the next digit (2) from the dividend, add it to 9, then carry on: 92 / 41

Going ahead to step 3:
41 goes into 92 2 times with a remainder of 10.
The next digit of our result is 2. 
Result so far: 12.0
The remainder is 10 after subtracting 82 from 92.
Take the next digit (3) from the dividend and append it to 10, then repeat: 103 / 41

Let's proceed to step 4:
If we divide 103 by 41, we get 2 and a remainder of 21.
Write down 2 as next digit of the result. 
Result so far: 122.0
If we take 82 away from 103, we end up with 21.
Grab the next digit (1) from the dividend, add it to 21, then carry on: 211 / 41

Let's proceed to step 5:
When dividing 211 by 41, we get 5 with a remainder of 6.
Use 5 as the next digit of our solution. 
Result so far: 1225.0
Subtracting 205 from 211 leaves us with 6.
Bring next digit (4) of the dividend behind the 6 and repeat the process: 64 / 41

Moving on to step 6:
The number 41 fits into 64 1 times, leaving a remainder of 23.
Write down 1 as next digit of the result. 
Result so far: 12251.0
If we subtract 41 from 64, we get 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Step 7:
41 can be fit into 230 5 times, resulting in a remainder of 25.
Write down 5 as next digit of the result. 
Result so far: 12251.5
Deduct 205 from 230 and we're left with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

On to step 8:
The number 41 fits into 250 6 times, leaving a remainder of 4.
Put 6 as the next digit of the answer. 
Result so far: 12251.56
If we take 246 away from 250, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 9:
41 goes into 40 0 times with a remainder of 40.
Write down 0 as next digit of the result. 
Result so far: 12251.56
Deduct 0 from 40 and we're left with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Let's proceed to step 10:
When dividing 400 by 41, we get 9 with a remainder of 31.
The next digit of our result is 9. 
Result so far: 12251.5609
If we take 369 away from 400, we end up with 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

On to step 11:
310 divided by 41 is 7 with a remainder of 23.
Record the quotient 7 as the next digit in the result. 
Result so far: 12251.56097
The remainder is 23 after subtracting 287 from 310.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Step 12:
When dividing 230 by 41, we get 5 with a remainder of 25.
The number 5 becomes the next digit in our result. 
Result so far: 12251.560975
The remainder is 25 after subtracting 205 from 230.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Step 13:
41 can be fit into 250 6 times, resulting in a remainder of 4.
Write down 6 as next digit of the result. 
Result so far: 12251.5609756
Subtract 246 from 250 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 14:
40 divided by 41 is 0 with a remainder of 40.
Put 0 as the next digit of the answer. 
Result so far: 12251.5609756
Subtracting 0 from 40 leaves us with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

In conclusion, the division gives 12251.5609756 with a balance of 4e-08.