582531 ÷ 41 
The aim is to understand the frequency of 41 in 582531.

On to step 1:
When dividing 5 by 41, we get 0 with a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Append the next digit (8) from the dividend to 5 and continue with: 58 / 41

Let's proceed to step 2:
41 goes into 58 1 times with a remainder of 17.
The next digit of our result is 1. 
Result so far: 1.0
Deduct 41 from 58 and we're left with 17.
Fetch the next digit (2) from the dividend, attach it to 17 and continue: 172 / 41

Let's proceed to step 3:
If we divide 172 by 41, we get 4 and a remainder of 8.
Use 4 as the next digit of our solution. 
Result so far: 14.0
Subtracting 164 from 172 leaves us with 8.
Append the next digit (5) from the dividend to 8 and continue with: 85 / 41

Moving on to step 4:
41 goes into 85 2 times with a remainder of 3.
Put 2 as the next digit of the answer. 
Result so far: 142.0
Subtracting 82 from 85 leaves us with 3.
Append the next digit (3) from the dividend to 3 and continue with: 33 / 41

Let's proceed to step 5:
The number 41 fits into 33 0 times, leaving a remainder of 33.
The next digit of our result is 0. 
Result so far: 1420.0
If we take 0 away from 33, we end up with 33.
Grab the next digit (1) from the dividend, add it to 33, then carry on: 331 / 41

Advancing to step 6:
When dividing 331 by 41, we get 8 with a remainder of 3.
The next digit of our result is 8. 
Result so far: 14208.0
If we subtract 328 from 331, we get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Moving on to step 7:
If we divide 30 by 41, we get 0 and a remainder of 30.
Use 0 as the next digit of our solution. 
Result so far: 14208.0
The remainder is 30 after subtracting 0 from 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Step 8:
300 divided by 41 is 7 with a remainder of 13.
Record the quotient 7 as the next digit in the result. 
Result so far: 14208.07
If we subtract 287 from 300, we get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Moving on to step 9:
130 divided by 41 is 3 with a remainder of 7.
Record the quotient 3 as the next digit in the result. 
Result so far: 14208.073
If we subtract 123 from 130, we get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Let's proceed to step 10:
The number 41 fits into 70 1 times, leaving a remainder of 29.
Put 1 as the next digit of the answer. 
Result so far: 14208.0731
If we take 41 away from 70, we end up with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Let's proceed to step 11:
41 can be fit into 290 7 times, resulting in a remainder of 3.
Put 7 as the next digit of the answer. 
Result so far: 14208.07317
Subtracting 287 from 290 leaves us with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Moving on to step 12:
41 can be fit into 30 0 times, resulting in a remainder of 30.
Record the quotient 0 as the next digit in the result. 
Result so far: 14208.07317
If we take 0 away from 30, we end up with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Advancing to step 13:
300 divided by 41 is 7 with a remainder of 13.
Put 7 as the next digit of the answer. 
Result so far: 14208.0731707
If we subtract 287 from 300, we get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Moving on to step 14:
41 goes into 130 3 times with a remainder of 7.
Put 3 as the next digit of the answer. 
Result so far: 14208.07317073
If we take 123 away from 130, we end up with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

The final outcome is 14208.07317073, with a leftover of 7e-09.