11727 divided by 65 
The aim is to understand the frequency of 65 in 11727.

Advancing to step 1:
If we divide 1 by 65, we get 0 and a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Grab the next digit (1) from the dividend, add it to 1, then carry on: 11 / 65

Step 2:
The number 65 fits into 11 0 times, leaving a remainder of 11.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 11, we get 11.
Include the next digit (7) from the dividend after 11, then repeat: 117 / 65

Let's proceed to step 3:
65 goes into 117 1 times with a remainder of 52.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Subtract 65 from 117 to get 52.
Take the next digit (2) from the dividend and append it to 52, then repeat: 522 / 65

On to step 4:
522 divided by 65 is 8 with a remainder of 2.
Use 8 as the next digit of our solution. 
Result so far: 18.0
Deduct 520 from 522 and we're left with 2.
Take the next digit (7) from the dividend and append it to 2, then repeat: 27 / 65

On to step 5:
27 divided by 65 is 0 with a remainder of 27.
Put 0 as the next digit of the answer. 
Result so far: 180.0
If we take 0 away from 27, we end up with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Advancing to step 6:
When dividing 270 by 65, we get 4 with a remainder of 10.
The next digit of our result is 4. 
Result so far: 180.4
Subtract 260 from 270 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.

Going ahead to step 7:
If we divide 100 by 65, we get 1 and a remainder of 35.
Record the quotient 1 as the next digit in the result. 
Result so far: 180.41
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.

Let's proceed to step 8:
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: 180.415
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.

Step 9:
65 can be fit into 250 3 times, resulting in a remainder of 55.
Use 3 as the next digit of our solution. 
Result so far: 180.4153
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.

Advancing to step 10:
65 goes into 550 8 times with a remainder of 30.
Record the quotient 8 as the next digit in the result. 
Result so far: 180.41538
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.

On to step 11:
If we divide 300 by 65, we get 4 and a remainder of 40.
Put 4 as the next digit of the answer. 
Result so far: 180.415384
Deduct 260 from 300 and we're left with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

On to step 12:
65 goes into 400 6 times with a remainder of 10.
Use 6 as the next digit of our solution. 
Result so far: 180.4153846
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.

Moving on to step 13:
100 divided by 65 is 1 with a remainder of 35.
Write down 1 as next digit of the result. 
Result so far: 180.41538461
Subtracting 65 from 100 leaves us 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.

In conclusion, the division gives 180.41538461 with a balance of 3.5e-08.