640259 ÷ 41 
The aim is to understand the frequency of 41 in 640259.

Moving on to step 1:
When dividing 6 by 41, we get 0 with a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Take the next digit (4) from the dividend and append it to 6, then repeat: 64 / 41

On to step 2:
64 divided by 41 is 1 with a remainder of 23.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Subtracting 41 from 64 leaves us with 23.
Append the next digit (0) from the dividend to 23 and continue with: 230 / 41

Going ahead to step 3:
230 divided by 41 is 5 with a remainder of 25.
Write down 5 as next digit of the result. 
Result so far: 15.0
The remainder is 25 after subtracting 205 from 230.
Append the next digit (2) from the dividend to 25 and continue with: 252 / 41

Advancing to step 4:
252 divided by 41 is 6 with a remainder of 6.
Use 6 as the next digit of our solution. 
Result so far: 156.0
The remainder is 6 after subtracting 246 from 252.
Bring next digit (5) of the dividend behind the 6 and repeat the process: 65 / 41

Going ahead to step 5:
41 can be fit into 65 1 times, resulting in a remainder of 24.
Write down 1 as next digit of the result. 
Result so far: 1561.0
Subtract 41 from 65 to get 24.
Fetch the next digit (9) from the dividend, attach it to 24 and continue: 249 / 41

Let's proceed to step 6:
41 can be fit into 249 6 times, resulting in a remainder of 3.
Write down 6 as next digit of the result. 
Result so far: 15616.0
The remainder is 3 after subtracting 246 from 249.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Let's proceed to step 7:
When dividing 30 by 41, we get 0 with a remainder of 30.
Use 0 as the next digit of our solution. 
Result so far: 15616.0
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.

Let's proceed to step 8:
If we divide 300 by 41, we get 7 and a remainder of 13.
The next digit of our result is 7. 
Result so far: 15616.07
Deduct 287 from 300 and we're left with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Going ahead to step 9:
When dividing 130 by 41, we get 3 with a remainder of 7.
Write down 3 as next digit of the result. 
Result so far: 15616.073
Subtracting 123 from 130 leaves us 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.

Going ahead to step 10:
If we divide 70 by 41, we get 1 and a remainder of 29.
Record the quotient 1 as the next digit in the result. 
Result so far: 15616.0731
The remainder is 29 after subtracting 41 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Going ahead to step 11:
290 divided by 41 is 7 with a remainder of 3.
Use 7 as the next digit of our solution. 
Result so far: 15616.07317
Subtract 287 from 290 to 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.

Advancing to step 12:
If we divide 30 by 41, we get 0 and a remainder of 30.
Put 0 as the next digit of the answer. 
Result so far: 15616.07317
Deduct 0 from 30 and we're left 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.
The number 7 becomes the next digit in our result. 
Result so far: 15616.0731707
Subtract 287 from 300 to 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.

Advancing to step 14:
The number 41 fits into 130 3 times, leaving a remainder of 7.
Use 3 as the next digit of our solution. 
Result so far: 15616.07317073
The remainder is 7 after subtracting 123 from 130.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Our division results in 15616.07317073 with a remaining 7e-09.