We're dividing 681184 by 65 
The aim is to understand the frequency of 65 in 681184.

Advancing to step 1:
When dividing 6 by 65, we get 0 with a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Take the next digit (8) from the dividend and append it to 6, then repeat: 68 / 65

Let's proceed to step 2:
65 can be fit into 68 1 times, resulting in a remainder of 3.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we take 65 away from 68, we end up with 3.
Grab the next digit (1) from the dividend, add it to 3, then carry on: 31 / 65

On to step 3:
The number 65 fits into 31 0 times, leaving a remainder of 31.
Record the quotient 0 as the next digit in the result. 
Result so far: 10.0
Deduct 0 from 31 and we're left with 31.
Include the next digit (1) from the dividend after 31, then repeat: 311 / 65

Going ahead to step 4:
65 can be fit into 311 4 times, resulting in a remainder of 51.
Use 4 as the next digit of our solution. 
Result so far: 104.0
Subtracting 260 from 311 leaves us with 51.
Append the next digit (8) from the dividend to 51 and continue with: 518 / 65

Going ahead to step 5:
518 divided by 65 is 7 with a remainder of 63.
Record the quotient 7 as the next digit in the result. 
Result so far: 1047.0
Subtract 455 from 518 to get 63.
Take the next digit (4) from the dividend and append it to 63, then repeat: 634 / 65

Moving on to step 6:
65 goes into 634 9 times with a remainder of 49.
Write down 9 as next digit of the result. 
Result so far: 10479.0
If we take 585 away from 634, we end up with 49.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

Step 7:
65 goes into 490 7 times with a remainder of 35.
The next digit of our result is 7. 
Result so far: 10479.7
If we subtract 455 from 490, we 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.

Advancing to step 8:
65 goes into 350 5 times with a remainder of 25.
Use 5 as the next digit of our solution. 
Result so far: 10479.75
If we take 325 away from 350, we end up with 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 9:
65 goes into 250 3 times with a remainder of 55.
The next digit of our result is 3. 
Result so far: 10479.753
Deduct 195 from 250 and we're left 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.

Step 10:
65 can be fit into 550 8 times, resulting in a remainder of 30.
The number 8 becomes the next digit in our result. 
Result so far: 10479.7538
Subtracting 520 from 550 leaves us 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.

Advancing to step 11:
65 goes into 300 4 times with a remainder of 40.
Put 4 as the next digit of the answer. 
Result so far: 10479.75384
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.

Step 12:
65 can be fit into 400 6 times, resulting in a remainder of 10.
Use 6 as the next digit of our solution. 
Result so far: 10479.753846
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 13:
The number 65 fits into 100 1 times, leaving a remainder of 35.
Write down 1 as next digit of the result. 
Result so far: 10479.7538461
If we subtract 65 from 100, we 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.

Step 14:
If we divide 350 by 65, we get 5 and a remainder of 25.
The number 5 becomes the next digit in our result. 
Result so far: 10479.75384615
Subtract 325 from 350 to 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.

The final result is 10479.75384615 with a remainder of 2.5e-08.