213507 ÷ 65 
The aim is to understand the frequency of 65 in 213507.

Advancing to step 1:
65 goes into 2 0 times with a remainder of 2.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 2 and we're left with 2.
Bring next digit (1) of the dividend behind the 2 and repeat the process: 21 / 65

Step 2:
21 divided by 65 is 0 with a remainder of 21.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 21 after subtracting 0 from 21.
Append the next digit (3) from the dividend to 21 and continue with: 213 / 65

On to step 3:
65 goes into 213 3 times with a remainder of 18.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
If we subtract 195 from 213, we get 18.
Fetch the next digit (5) from the dividend, attach it to 18 and continue: 185 / 65

Going ahead to step 4:
185 divided by 65 is 2 with a remainder of 55.
The number 2 becomes the next digit in our result. 
Result so far: 32.0
Subtract 130 from 185 to get 55.
Fetch the next digit (0) from the dividend, attach it to 55 and continue: 550 / 65

Moving on to step 5:
When dividing 550 by 65, we get 8 with a remainder of 30.
Record the quotient 8 as the next digit in the result. 
Result so far: 328.0
The remainder is 30 after subtracting 520 from 550.
Grab the next digit (7) from the dividend, add it to 30, then carry on: 307 / 65

Moving on to step 6:
65 goes into 307 4 times with a remainder of 47.
The number 4 becomes the next digit in our result. 
Result so far: 3284.0
The remainder is 47 after subtracting 260 from 307.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

Let's proceed to step 7:
65 goes into 470 7 times with a remainder of 15.
Record the quotient 7 as the next digit in the result. 
Result so far: 3284.7
Subtracting 455 from 470 leaves us 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.

Moving on to step 8:
65 goes into 150 2 times with a remainder of 20.
The number 2 becomes the next digit in our result. 
Result so far: 3284.72
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.

On to step 9:
When dividing 200 by 65, we get 3 with a remainder of 5.
The next digit of our result is 3. 
Result so far: 3284.723
The remainder is 5 after subtracting 195 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 10:
If we divide 50 by 65, we get 0 and a remainder of 50.
The next digit of our result is 0. 
Result so far: 3284.723
Subtracting 0 from 50 leaves us with 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 11:
When dividing 500 by 65, we get 7 with a remainder of 45.
Put 7 as the next digit of the answer. 
Result so far: 3284.72307
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.

Step 12:
450 divided by 65 is 6 with a remainder of 60.
The number 6 becomes the next digit in our result. 
Result so far: 3284.723076
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.

On to step 13:
65 goes into 600 9 times with a remainder of 15.
The next digit of our result is 9. 
Result so far: 3284.7230769
Subtracting 585 from 600 leaves us 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 14:
65 goes into 150 2 times with a remainder of 20.
Use 2 as the next digit of our solution. 
Result so far: 3284.72307692
The remainder is 20 after subtracting 130 from 150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

The final outcome is 3284.72307692, with a leftover of 2e-08.