We're dividing 642896 by 41 
The aim is to understand the frequency of 41 in 642896.

On to step 1:
The number 41 fits into 6 0 times, leaving a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Take the next digit (4) from the dividend and append it to 6, then repeat: 64 / 41

Step 2:
The number 41 fits into 64 1 times, leaving a remainder of 23.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Deduct 41 from 64 and we're left with 23.
Bring next digit (2) of the dividend behind the 23 and repeat the process: 232 / 41

Let's proceed to step 3:
41 goes into 232 5 times with a remainder of 27.
The next digit of our result is 5. 
Result so far: 15.0
Subtract 205 from 232 to get 27.
Bring next digit (8) of the dividend behind the 27 and repeat the process: 278 / 41

Step 4:
The number 41 fits into 278 6 times, leaving a remainder of 32.
Put 6 as the next digit of the answer. 
Result so far: 156.0
If we subtract 246 from 278, we get 32.
Bring next digit (9) of the dividend behind the 32 and repeat the process: 329 / 41

Moving on to step 5:
When dividing 329 by 41, we get 8 with a remainder of 1.
Record the quotient 8 as the next digit in the result. 
Result so far: 1568.0
The remainder is 1 after subtracting 328 from 329.
Bring next digit (6) of the dividend behind the 1 and repeat the process: 16 / 41

Moving on to step 6:
The number 41 fits into 16 0 times, leaving a remainder of 16.
The next digit of our result is 0. 
Result so far: 15680.0
The remainder is 16 after subtracting 0 from 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Step 7:
If we divide 160 by 41, we get 3 and a remainder of 37.
The next digit of our result is 3. 
Result so far: 15680.3
The remainder is 37 after subtracting 123 from 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Step 8:
When dividing 370 by 41, we get 9 with a remainder of 1.
The next digit of our result is 9. 
Result so far: 15680.39
If we take 369 away from 370, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Moving on to step 9:
41 can be fit into 10 0 times, resulting in a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 15680.39
If we take 0 away from 10, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 10:
If we divide 100 by 41, we get 2 and a remainder of 18.
Write down 2 as next digit of the result. 
Result so far: 15680.3902
Subtracting 82 from 100 leaves us with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

On to step 11:
The number 41 fits into 180 4 times, leaving a remainder of 16.
Use 4 as the next digit of our solution. 
Result so far: 15680.39024
If we subtract 164 from 180, we get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Moving on to step 12:
The number 41 fits into 160 3 times, leaving a remainder of 37.
Put 3 as the next digit of the answer. 
Result so far: 15680.390243
Deduct 123 from 160 and we're left with 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

On to step 13:
370 divided by 41 is 9 with a remainder of 1.
Use 9 as the next digit of our solution. 
Result so far: 15680.3902439
If we subtract 369 from 370, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Going ahead to step 14:
10 divided by 41 is 0 with a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 15680.3902439
Subtracting 0 from 10 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

The quotient of the division is 15680.3902439, and the remainder is 1e-08.