520121 ÷ 65 
The aim is to understand the frequency of 65 in 520121.

Advancing to step 1:
5 divided by 65 is 0 with a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Append the next digit (2) from the dividend to 5 and continue with: 52 / 65

Step 2:
65 can be fit into 52 0 times, resulting in a remainder of 52.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 52 to get 52.
Take the next digit (0) from the dividend and append it to 52, then repeat: 520 / 65

Step 3:
520 divided by 65 is 8 with a remainder of 0.
Write down 8 as next digit of the result. 
Result so far: 8.0
Deduct 520 from 520 and we're left with 0.
Bring next digit (1) of the dividend behind the 0 and repeat the process: 1 / 65

On to step 4:
65 goes into 1 0 times with a remainder of 1.
The next digit of our result is 0. 
Result so far: 80.0
Subtracting 0 from 1 leaves us with 1.
Append the next digit (2) from the dividend to 1 and continue with: 12 / 65

Moving on to step 5:
When dividing 12 by 65, we get 0 with a remainder of 12.
The number 0 becomes the next digit in our result. 
Result so far: 800.0
Deduct 0 from 12 and we're left with 12.
Fetch the next digit (1) from the dividend, attach it to 12 and continue: 121 / 65

Step 6:
65 can be fit into 121 1 times, resulting in a remainder of 56.
Write down 1 as next digit of the result. 
Result so far: 8001.0
Deduct 65 from 121 and we're left with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Let's proceed to step 7:
If we divide 560 by 65, we get 8 and a remainder of 40.
The number 8 becomes the next digit in our result. 
Result so far: 8001.8
If we take 520 away from 560, we end up 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.

Going ahead to step 8:
65 can be fit into 400 6 times, resulting in a remainder of 10.
The next digit of our result is 6. 
Result so far: 8001.86
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.

Advancing to step 9:
65 goes into 100 1 times with a remainder of 35.
The next digit of our result is 1. 
Result so far: 8001.861
If we subtract 65 from 100, we get 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 10:
The number 65 fits into 350 5 times, leaving a remainder of 25.
Use 5 as the next digit of our solution. 
Result so far: 8001.8615
Subtract 325 from 350 to 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.

Moving on to step 11:
If we divide 250 by 65, we get 3 and a remainder of 55.
Record the quotient 3 as the next digit in the result. 
Result so far: 8001.86153
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.

Let's proceed to step 12:
When dividing 550 by 65, we get 8 with a remainder of 30.
The next digit of our result is 8. 
Result so far: 8001.861538
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.

Advancing to step 13:
300 divided by 65 is 4 with a remainder of 40.
Record the quotient 4 as the next digit in the result. 
Result so far: 8001.8615384
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.

On to step 14:
65 can be fit into 400 6 times, resulting in a remainder of 10.
Put 6 as the next digit of the answer. 
Result so far: 8001.86153846
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.

Our division results in 8001.86153846 with a remaining 1e-08.