382112 ÷ 65 
The aim is to understand the frequency of 65 in 382112.

Step 1:
65 goes into 3 0 times with a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Append the next digit (8) from the dividend to 3 and continue with: 38 / 65

On to step 2:
If we divide 38 by 65, we get 0 and a remainder of 38.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 38, we get 38.
Bring next digit (2) of the dividend behind the 38 and repeat the process: 382 / 65

Advancing to step 3:
When dividing 382 by 65, we get 5 with a remainder of 57.
Put 5 as the next digit of the answer. 
Result so far: 5.0
Subtracting 325 from 382 leaves us with 57.
Grab the next digit (1) from the dividend, add it to 57, then carry on: 571 / 65

Going ahead to step 4:
If we divide 571 by 65, we get 8 and a remainder of 51.
Record the quotient 8 as the next digit in the result. 
Result so far: 58.0
Subtract 520 from 571 to get 51.
Include the next digit (1) from the dividend after 51, then repeat: 511 / 65

Step 5:
511 divided by 65 is 7 with a remainder of 56.
Use 7 as the next digit of our solution. 
Result so far: 587.0
Subtracting 455 from 511 leaves us with 56.
Fetch the next digit (2) from the dividend, attach it to 56 and continue: 562 / 65

Step 6:
65 goes into 562 8 times with a remainder of 42.
Put 8 as the next digit of the answer. 
Result so far: 5878.0
Deduct 520 from 562 and we're left with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Step 7:
When dividing 420 by 65, we get 6 with a remainder of 30.
Use 6 as the next digit of our solution. 
Result so far: 5878.6
If we subtract 390 from 420, we 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.

Let's proceed to step 8:
If we divide 300 by 65, we get 4 and a remainder of 40.
Put 4 as the next digit of the answer. 
Result so far: 5878.64
Deduct 260 from 300 and we're left 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.

Step 9:
The number 65 fits into 400 6 times, leaving a remainder of 10.
Record the quotient 6 as the next digit in the result. 
Result so far: 5878.646
If we take 390 away from 400, we end up with 10.
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 10:
100 divided by 65 is 1 with a remainder of 35.
The next digit of our result is 1. 
Result so far: 5878.6461
If we take 65 away from 100, we end up with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Moving on to step 11:
The number 65 fits into 350 5 times, leaving a remainder of 25.
Record the quotient 5 as the next digit in the result. 
Result so far: 5878.64615
If we subtract 325 from 350, we 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.

Advancing to step 12:
When dividing 250 by 65, we get 3 with a remainder of 55.
The next digit of our result is 3. 
Result so far: 5878.646153
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.

Going ahead to step 13:
If we divide 550 by 65, we get 8 and a remainder of 30.
The next digit of our result is 8. 
Result so far: 5878.6461538
Subtracting 520 from 550 leaves us 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.

Advancing to step 14:
65 can be fit into 300 4 times, resulting in a remainder of 40.
The next digit of our result is 4. 
Result so far: 5878.64615384
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.

The final result is 5878.64615384 with a remainder of 4e-08.