We're dividing 417600 by 65 
The aim is to understand the frequency of 65 in 417600.

Let's proceed to step 1:
If we divide 4 by 65, we get 0 and a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Take the next digit (1) from the dividend and append it to 4, then repeat: 41 / 65

Advancing to step 2:
41 divided by 65 is 0 with a remainder of 41.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 41 to get 41.
Append the next digit (7) from the dividend to 41 and continue with: 417 / 65

On to step 3:
417 divided by 65 is 6 with a remainder of 27.
Use 6 as the next digit of our solution. 
Result so far: 6.0
Subtracting 390 from 417 leaves us with 27.
Fetch the next digit (6) from the dividend, attach it to 27 and continue: 276 / 65

Step 4:
65 can be fit into 276 4 times, resulting in a remainder of 16.
Put 4 as the next digit of the answer. 
Result so far: 64.0
If we subtract 260 from 276, we get 16.
Fetch the next digit (0) from the dividend, attach it to 16 and continue: 160 / 65

Advancing to step 5:
When dividing 160 by 65, we get 2 with a remainder of 30.
Put 2 as the next digit of the answer. 
Result so far: 642.0
Subtract 130 from 160 to get 30.
Append the next digit (0) from the dividend to 30 and continue with: 300 / 65

Going ahead to step 6:
300 divided by 65 is 4 with a remainder of 40.
Use 4 as the next digit of our solution. 
Result so far: 6424.0
If we subtract 260 from 300, 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.

Going ahead to step 7:
400 divided by 65 is 6 with a remainder of 10.
The next digit of our result is 6. 
Result so far: 6424.6
If we subtract 390 from 400, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 8:
65 goes into 100 1 times with a remainder of 35.
Record the quotient 1 as the next digit in the result. 
Result so far: 6424.61
Deduct 65 from 100 and we're left with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

On to step 9:
350 divided by 65 is 5 with a remainder of 25.
The number 5 becomes the next digit in our result. 
Result so far: 6424.615
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.

On to step 10:
250 divided by 65 is 3 with a remainder of 55.
The next digit of our result is 3. 
Result so far: 6424.6153
Subtracting 195 from 250 leaves us 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.

Let's proceed to step 11:
550 divided by 65 is 8 with a remainder of 30.
The next digit of our result is 8. 
Result so far: 6424.61538
If we take 520 away from 550, we end up 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.

On to step 12:
The number 65 fits into 300 4 times, leaving a remainder of 40.
The next digit of our result is 4. 
Result so far: 6424.615384
If we subtract 260 from 300, 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 13:
65 can be fit into 400 6 times, resulting in a remainder of 10.
Write down 6 as next digit of the result. 
Result so far: 6424.6153846
Subtract 390 from 400 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 14:
100 divided by 65 is 1 with a remainder of 35.
Put 1 as the next digit of the answer. 
Result so far: 6424.61538461
If we take 65 away from 100, we end up with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

The final result is 6424.61538461 with a remainder of 3.5e-08.