We're dividing 645834 by 41 
The aim is to understand the frequency of 41 in 645834.

Moving on to step 1:
If we divide 6 by 41, we get 0 and a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Bring next digit (4) of the dividend behind the 6 and repeat the process: 64 / 41

Advancing to step 2:
When dividing 64 by 41, we get 1 with a remainder of 23.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we take 41 away from 64, we end up with 23.
Bring next digit (5) of the dividend behind the 23 and repeat the process: 235 / 41

Advancing to step 3:
When dividing 235 by 41, we get 5 with a remainder of 30.
Use 5 as the next digit of our solution. 
Result so far: 15.0
If we take 205 away from 235, we end up with 30.
Append the next digit (8) from the dividend to 30 and continue with: 308 / 41

Advancing to step 4:
41 goes into 308 7 times with a remainder of 21.
Put 7 as the next digit of the answer. 
Result so far: 157.0
If we subtract 287 from 308, we get 21.
Include the next digit (3) from the dividend after 21, then repeat: 213 / 41

On to step 5:
The number 41 fits into 213 5 times, leaving a remainder of 8.
Use 5 as the next digit of our solution. 
Result so far: 1575.0
The remainder is 8 after subtracting 205 from 213.
Fetch the next digit (4) from the dividend, attach it to 8 and continue: 84 / 41

Advancing to step 6:
41 goes into 84 2 times with a remainder of 2.
Write down 2 as next digit of the result. 
Result so far: 15752.0
Deduct 82 from 84 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 7:
If we divide 20 by 41, we get 0 and a remainder of 20.
Write down 0 as next digit of the result. 
Result so far: 15752.0
Subtract 0 from 20 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 8:
200 divided by 41 is 4 with a remainder of 36.
Write down 4 as next digit of the result. 
Result so far: 15752.04
Subtract 164 from 200 to get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Let's proceed to step 9:
41 can be fit into 360 8 times, resulting in a remainder of 32.
Use 8 as the next digit of our solution. 
Result so far: 15752.048
Subtracting 328 from 360 leaves us with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Going ahead to step 10:
320 divided by 41 is 7 with a remainder of 33.
Write down 7 as next digit of the result. 
Result so far: 15752.0487
If we subtract 287 from 320, we get 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

On to step 11:
41 can be fit into 330 8 times, resulting in a remainder of 2.
Record the quotient 8 as the next digit in the result. 
Result so far: 15752.04878
If we subtract 328 from 330, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 12:
If we divide 20 by 41, we get 0 and a remainder of 20.
Use 0 as the next digit of our solution. 
Result so far: 15752.04878
Deduct 0 from 20 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 13:
The number 41 fits into 200 4 times, leaving a remainder of 36.
Write down 4 as next digit of the result. 
Result so far: 15752.0487804
Subtract 164 from 200 to get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Step 14:
When dividing 360 by 41, we get 8 with a remainder of 32.
The number 8 becomes the next digit in our result. 
Result so far: 15752.04878048
Subtract 328 from 360 to get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

The final result is 15752.04878048 with a remainder of 3.2e-08.