We're dividing 417601 by 65 
The aim is to understand the frequency of 65 in 417601.

Advancing to step 1:
65 goes into 4 0 times with a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Grab the next digit (1) from the dividend, add it to 4, then carry on: 41 / 65

On to step 2:
65 can be fit into 41 0 times, resulting in a remainder of 41.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 41 and we're left with 41.
Include the next digit (7) from the dividend after 41, then repeat: 417 / 65

Going ahead to step 3:
If we divide 417 by 65, we get 6 and a remainder of 27.
Use 6 as the next digit of our solution. 
Result so far: 6.0
Deduct 390 from 417 and we're left with 27.
Fetch the next digit (6) from the dividend, attach it to 27 and continue: 276 / 65

On to step 4:
The number 65 fits into 276 4 times, leaving a remainder of 16.
Write down 4 as next digit of the result. 
Result so far: 64.0
Subtract 260 from 276 to get 16.
Grab the next digit (0) from the dividend, add it to 16, then carry on: 160 / 65

On to step 5:
When dividing 160 by 65, we get 2 with a remainder of 30.
Record the quotient 2 as the next digit in the result. 
Result so far: 642.0
If we subtract 130 from 160, we get 30.
Grab the next digit (1) from the dividend, add it to 30, then carry on: 301 / 65

Step 6:
If we divide 301 by 65, we get 4 and a remainder of 41.
The number 4 becomes the next digit in our result. 
Result so far: 6424.0
Deduct 260 from 301 and we're left with 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

On to step 7:
If we divide 410 by 65, we get 6 and a remainder of 20.
Use 6 as the next digit of our solution. 
Result so far: 6424.6
If we take 390 away from 410, we end up 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 8:
The number 65 fits into 200 3 times, leaving a remainder of 5.
Record the quotient 3 as the next digit in the result. 
Result so far: 6424.63
Deduct 195 from 200 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 9:
The number 65 fits into 50 0 times, leaving a remainder of 50.
Use 0 as the next digit of our solution. 
Result so far: 6424.63
Deduct 0 from 50 and we're left with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Step 10:
When dividing 500 by 65, we get 7 with a remainder of 45.
The number 7 becomes the next digit in our result. 
Result so far: 6424.6307
The remainder is 45 after subtracting 455 from 500.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Going ahead to step 11:
When dividing 450 by 65, we get 6 with a remainder of 60.
The number 6 becomes the next digit in our result. 
Result so far: 6424.63076
If we subtract 390 from 450, we get 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Step 12:
The number 65 fits into 600 9 times, leaving a remainder of 15.
Use 9 as the next digit of our solution. 
Result so far: 6424.630769
If we take 585 away from 600, we end up with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Going ahead to step 13:
65 can be fit into 150 2 times, resulting in a remainder of 20.
The next digit of our result is 2. 
Result so far: 6424.6307692
Subtracting 130 from 150 leaves us 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.

Step 14:
If we divide 200 by 65, we get 3 and a remainder of 5.
Put 3 as the next digit of the answer. 
Result so far: 6424.63076923
If we take 195 away from 200, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

In conclusion, the division gives 6424.63076923 with a balance of 5e-09.