We're dividing 787427 by 65 
The aim is to understand the frequency of 65 in 787427.

Going ahead to step 1:
7 divided by 65 is 0 with a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 7 to get 7.
Bring next digit (8) of the dividend behind the 7 and repeat the process: 78 / 65

Moving on to step 2:
65 can be fit into 78 1 times, resulting in a remainder of 13.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtract 65 from 78 to get 13.
Grab the next digit (7) from the dividend, add it to 13, then carry on: 137 / 65

Going ahead to step 3:
65 can be fit into 137 2 times, resulting in a remainder of 7.
Put 2 as the next digit of the answer. 
Result so far: 12.0
Deduct 130 from 137 and we're left with 7.
Bring next digit (4) of the dividend behind the 7 and repeat the process: 74 / 65

Moving on to step 4:
65 goes into 74 1 times with a remainder of 9.
The next digit of our result is 1. 
Result so far: 121.0
Subtract 65 from 74 to get 9.
Append the next digit (2) from the dividend to 9 and continue with: 92 / 65

Let's proceed to step 5:
65 goes into 92 1 times with a remainder of 27.
Record the quotient 1 as the next digit in the result. 
Result so far: 1211.0
The remainder is 27 after subtracting 65 from 92.
Append the next digit (7) from the dividend to 27 and continue with: 277 / 65

Going ahead to step 6:
When dividing 277 by 65, we get 4 with a remainder of 17.
Use 4 as the next digit of our solution. 
Result so far: 12114.0
Subtracting 260 from 277 leaves us with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Step 7:
When dividing 170 by 65, we get 2 with a remainder of 40.
The next digit of our result is 2. 
Result so far: 12114.2
Subtracting 130 from 170 leaves us 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.

Let's proceed to step 8:
When dividing 400 by 65, we get 6 with a remainder of 10.
Use 6 as the next digit of our solution. 
Result so far: 12114.26
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.

Advancing to step 9:
65 goes into 100 1 times with a remainder of 35.
Use 1 as the next digit of our solution. 
Result so far: 12114.261
The remainder is 35 after subtracting 65 from 100.
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 10:
65 goes into 350 5 times with a remainder of 25.
Record the quotient 5 as the next digit in the result. 
Result so far: 12114.2615
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.

Step 11:
65 can be fit into 250 3 times, resulting in a remainder of 55.
The next digit of our result is 3. 
Result so far: 12114.26153
If we subtract 195 from 250, we get 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 12:
550 divided by 65 is 8 with a remainder of 30.
Put 8 as the next digit of the answer. 
Result so far: 12114.261538
Subtract 520 from 550 to get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Step 13:
65 goes into 300 4 times with a remainder of 40.
Put 4 as the next digit of the answer. 
Result so far: 12114.2615384
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 14:
If we divide 400 by 65, we get 6 and a remainder of 10.
Write down 6 as next digit of the result. 
Result so far: 12114.26153846
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.

After the division, we end up with 12114.26153846 and a remainder of 1e-08.