543472 ÷ 65 
The aim is to understand the frequency of 65 in 543472.

Going ahead to step 1:
If we divide 5 by 65, we get 0 and a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Append the next digit (4) from the dividend to 5 and continue with: 54 / 65

Let's proceed to step 2:
If we divide 54 by 65, we get 0 and a remainder of 54.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 54 leaves us with 54.
Include the next digit (3) from the dividend after 54, then repeat: 543 / 65

Going ahead to step 3:
When dividing 543 by 65, we get 8 with a remainder of 23.
Record the quotient 8 as the next digit in the result. 
Result so far: 8.0
If we take 520 away from 543, we end up with 23.
Append the next digit (4) from the dividend to 23 and continue with: 234 / 65

Going ahead to step 4:
234 divided by 65 is 3 with a remainder of 39.
Record the quotient 3 as the next digit in the result. 
Result so far: 83.0
Subtracting 195 from 234 leaves us with 39.
Bring next digit (7) of the dividend behind the 39 and repeat the process: 397 / 65

Step 5:
65 can be fit into 397 6 times, resulting in a remainder of 7.
Put 6 as the next digit of the answer. 
Result so far: 836.0
Subtract 390 from 397 to get 7.
Grab the next digit (2) from the dividend, add it to 7, then carry on: 72 / 65

On to step 6:
The number 65 fits into 72 1 times, leaving a remainder of 7.
Use 1 as the next digit of our solution. 
Result so far: 8361.0
The remainder is 7 after subtracting 65 from 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Let's proceed to step 7:
If we divide 70 by 65, we get 1 and a remainder of 5.
Record the quotient 1 as the next digit in the result. 
Result so far: 8361.1
Deduct 65 from 70 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 8:
65 can be fit into 50 0 times, resulting in a remainder of 50.
The next digit of our result is 0. 
Result so far: 8361.1
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.

Moving on to step 9:
If we divide 500 by 65, we get 7 and a remainder of 45.
Put 7 as the next digit of the answer. 
Result so far: 8361.107
Subtract 455 from 500 to 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.

Step 10:
450 divided by 65 is 6 with a remainder of 60.
Use 6 as the next digit of our solution. 
Result so far: 8361.1076
Subtract 390 from 450 to get 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Step 11:
The number 65 fits into 600 9 times, leaving a remainder of 15.
The next digit of our result is 9. 
Result so far: 8361.10769
If we subtract 585 from 600, we get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

On to step 12:
65 goes into 150 2 times with a remainder of 20.
The next digit of our result is 2. 
Result so far: 8361.107692
Deduct 130 from 150 and we're left 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 13:
65 can be fit into 200 3 times, resulting in a remainder of 5.
The number 3 becomes the next digit in our result. 
Result so far: 8361.1076923
Subtracting 195 from 200 leaves us 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.

Going ahead to step 14:
65 goes into 50 0 times with a remainder of 50.
The next digit of our result is 0. 
Result so far: 8361.1076923
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.

Our division results in 8361.1076923 with a remaining 5e-08.