We're dividing 408841 by 65 
The aim is to understand the frequency of 65 in 408841.

Going ahead to step 1:
4 divided by 65 is 0 with a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Take the next digit (0) from the dividend and append it to 4, then repeat: 40 / 65

Moving on to step 2:
If we divide 40 by 65, we get 0 and a remainder of 40.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 40 leaves us with 40.
Take the next digit (8) from the dividend and append it to 40, then repeat: 408 / 65

Advancing to step 3:
The number 65 fits into 408 6 times, leaving a remainder of 18.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
If we subtract 390 from 408, we get 18.
Grab the next digit (8) from the dividend, add it to 18, then carry on: 188 / 65

Step 4:
The number 65 fits into 188 2 times, leaving a remainder of 58.
The next digit of our result is 2. 
Result so far: 62.0
If we subtract 130 from 188, we get 58.
Take the next digit (4) from the dividend and append it to 58, then repeat: 584 / 65

Let's proceed to step 5:
If we divide 584 by 65, we get 8 and a remainder of 64.
Put 8 as the next digit of the answer. 
Result so far: 628.0
The remainder is 64 after subtracting 520 from 584.
Include the next digit (1) from the dividend after 64, then repeat: 641 / 65

Advancing to step 6:
When dividing 641 by 65, we get 9 with a remainder of 56.
Record the quotient 9 as the next digit in the result. 
Result so far: 6289.0
If we take 585 away from 641, we end up with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Moving on to step 7:
560 divided by 65 is 8 with a remainder of 40.
The number 8 becomes the next digit in our result. 
Result so far: 6289.8
If we subtract 520 from 560, we get 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 8:
When dividing 400 by 65, we get 6 with a remainder of 10.
The next digit of our result is 6. 
Result so far: 6289.86
Subtracting 390 from 400 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.

Going ahead to step 9:
When dividing 100 by 65, we get 1 with a remainder of 35.
Put 1 as the next digit of the answer. 
Result so far: 6289.861
Subtract 65 from 100 to get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Let's proceed to step 10:
65 can be fit into 350 5 times, resulting in a remainder of 25.
Record the quotient 5 as the next digit in the result. 
Result so far: 6289.8615
If we subtract 325 from 350, we get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Let's proceed to step 11:
65 goes into 250 3 times with a remainder of 55.
The number 3 becomes the next digit in our result. 
Result so far: 6289.86153
If we take 195 away from 250, we end up with 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Moving on to step 12:
65 goes into 550 8 times with a remainder of 30.
Use 8 as the next digit of our solution. 
Result so far: 6289.861538
Deduct 520 from 550 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.

Let's proceed to step 13:
300 divided by 65 is 4 with a remainder of 40.
Record the quotient 4 as the next digit in the result. 
Result so far: 6289.8615384
Subtract 260 from 300 to get 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 14:
65 can be fit into 400 6 times, resulting in a remainder of 10.
Put 6 as the next digit of the answer. 
Result so far: 6289.86153846
The remainder is 10 after subtracting 390 from 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

In conclusion, the division gives 6289.86153846 with a balance of 1e-08.