We look at the division of 288741 by 65 
The aim is to understand the frequency of 65 in 288741.

Step 1:
65 goes into 2 0 times with a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 2 to get 2.
Append the next digit (8) from the dividend to 2 and continue with: 28 / 65

Moving on to step 2:
When dividing 28 by 65, we get 0 with a remainder of 28.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 28 and we're left with 28.
Grab the next digit (8) from the dividend, add it to 28, then carry on: 288 / 65

Step 3:
When dividing 288 by 65, we get 4 with a remainder of 28.
Write down 4 as next digit of the result. 
Result so far: 4.0
Subtract 260 from 288 to get 28.
Include the next digit (7) from the dividend after 28, then repeat: 287 / 65

Step 4:
287 divided by 65 is 4 with a remainder of 27.
Put 4 as the next digit of the answer. 
Result so far: 44.0
Subtract 260 from 287 to get 27.
Append the next digit (4) from the dividend to 27 and continue with: 274 / 65

Step 5:
When dividing 274 by 65, we get 4 with a remainder of 14.
Put 4 as the next digit of the answer. 
Result so far: 444.0
If we subtract 260 from 274, we get 14.
Grab the next digit (1) from the dividend, add it to 14, then carry on: 141 / 65

On to step 6:
If we divide 141 by 65, we get 2 and a remainder of 11.
Use 2 as the next digit of our solution. 
Result so far: 4442.0
If we subtract 130 from 141, we get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Going ahead to step 7:
The number 65 fits into 110 1 times, leaving a remainder of 45.
Use 1 as the next digit of our solution. 
Result so far: 4442.1
If we subtract 65 from 110, we get 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Advancing to step 8:
450 divided by 65 is 6 with a remainder of 60.
Record the quotient 6 as the next digit in the result. 
Result so far: 4442.16
Deduct 390 from 450 and we're left with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Moving on to step 9:
65 goes into 600 9 times with a remainder of 15.
The next digit of our result is 9. 
Result so far: 4442.169
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 10:
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: 4442.1692
If we take 130 away from 150, 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.

Step 11:
If we divide 200 by 65, we get 3 and a remainder of 5.
The next digit of our result is 3. 
Result so far: 4442.16923
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.

Moving on to step 12:
65 can be fit into 50 0 times, resulting in a remainder of 50.
Record the quotient 0 as the next digit in the result. 
Result so far: 4442.16923
The remainder is 50 after subtracting 0 from 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 13:
500 divided by 65 is 7 with a remainder of 45.
The number 7 becomes the next digit in our result. 
Result so far: 4442.1692307
Deduct 455 from 500 and we're left with 45.
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 14:
65 can be fit into 450 6 times, resulting in a remainder of 60.
Write down 6 as next digit of the result. 
Result so far: 4442.16923076
If we take 390 away from 450, we end up with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

The final result is 4442.16923076 with a remainder of 6e-08.