We're dividing 557166 by 65 
The aim is to understand the frequency of 65 in 557166.

Step 1:
5 divided by 65 is 0 with a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Append the next digit (5) from the dividend to 5 and continue with: 55 / 65

Advancing to step 2:
65 can be fit into 55 0 times, resulting in a remainder of 55.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 55 to get 55.
Fetch the next digit (7) from the dividend, attach it to 55 and continue: 557 / 65

Step 3:
557 divided by 65 is 8 with a remainder of 37.
The number 8 becomes the next digit in our result. 
Result so far: 8.0
Deduct 520 from 557 and we're left with 37.
Fetch the next digit (1) from the dividend, attach it to 37 and continue: 371 / 65

Going ahead to step 4:
If we divide 371 by 65, we get 5 and a remainder of 46.
Write down 5 as next digit of the result. 
Result so far: 85.0
Subtracting 325 from 371 leaves us with 46.
Take the next digit (6) from the dividend and append it to 46, then repeat: 466 / 65

Moving on to step 5:
The number 65 fits into 466 7 times, leaving a remainder of 11.
The next digit of our result is 7. 
Result so far: 857.0
The remainder is 11 after subtracting 455 from 466.
Bring next digit (6) of the dividend behind the 11 and repeat the process: 116 / 65

Advancing to step 6:
The number 65 fits into 116 1 times, leaving a remainder of 51.
Write down 1 as next digit of the result. 
Result so far: 8571.0
If we take 65 away from 116, we end up with 51.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

Moving on to step 7:
65 goes into 510 7 times with a remainder of 55.
Use 7 as the next digit of our solution. 
Result so far: 8571.7
Subtracting 455 from 510 leaves us 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 8:
65 goes into 550 8 times with a remainder of 30.
Use 8 as the next digit of our solution. 
Result so far: 8571.78
The remainder is 30 after subtracting 520 from 550.
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 9:
The number 65 fits into 300 4 times, leaving a remainder of 40.
Put 4 as the next digit of the answer. 
Result so far: 8571.784
Subtracting 260 from 300 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.

Moving on to step 10:
If we divide 400 by 65, we get 6 and a remainder of 10.
Put 6 as the next digit of the answer. 
Result so far: 8571.7846
The remainder is 10 after subtracting 390 from 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 11:
100 divided by 65 is 1 with a remainder of 35.
The number 1 becomes the next digit in our result. 
Result so far: 8571.78461
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.

Let's proceed to step 12:
If we divide 350 by 65, we get 5 and a remainder of 25.
Use 5 as the next digit of our solution. 
Result so far: 8571.784615
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 13:
If we divide 250 by 65, we get 3 and a remainder of 55.
Put 3 as the next digit of the answer. 
Result so far: 8571.7846153
The remainder is 55 after subtracting 195 from 250.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Let's proceed to step 14:
The number 65 fits into 550 8 times, leaving a remainder of 30.
The next digit of our result is 8. 
Result so far: 8571.78461538
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.

The final outcome is 8571.78461538, with a leftover of 3e-08.