We're dividing 382877 by 65 
The aim is to understand the frequency of 65 in 382877.

On to step 1:
3 divided by 65 is 0 with a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Grab the next digit (8) from the dividend, add it to 3, then carry on: 38 / 65

Step 2:
If we divide 38 by 65, we get 0 and a remainder of 38.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 38, we end up with 38.
Fetch the next digit (2) from the dividend, attach it to 38 and continue: 382 / 65

On to step 3:
65 goes into 382 5 times with a remainder of 57.
Put 5 as the next digit of the answer. 
Result so far: 5.0
The remainder is 57 after subtracting 325 from 382.
Bring next digit (8) of the dividend behind the 57 and repeat the process: 578 / 65

Moving on to step 4:
65 can be fit into 578 8 times, resulting in a remainder of 58.
Put 8 as the next digit of the answer. 
Result so far: 58.0
Deduct 520 from 578 and we're left with 58.
Bring next digit (7) of the dividend behind the 58 and repeat the process: 587 / 65

On to step 5:
When dividing 587 by 65, we get 9 with a remainder of 2.
Use 9 as the next digit of our solution. 
Result so far: 589.0
Subtracting 585 from 587 leaves us with 2.
Bring next digit (7) of the dividend behind the 2 and repeat the process: 27 / 65

Advancing to step 6:
If we divide 27 by 65, we get 0 and a remainder of 27.
Record the quotient 0 as the next digit in the result. 
Result so far: 5890.0
If we subtract 0 from 27, we get 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Advancing to step 7:
When dividing 270 by 65, we get 4 with a remainder of 10.
Record the quotient 4 as the next digit in the result. 
Result so far: 5890.4
Subtract 260 from 270 to 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 8:
The number 65 fits into 100 1 times, leaving a remainder of 35.
The number 1 becomes the next digit in our result. 
Result so far: 5890.41
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.

Step 9:
350 divided by 65 is 5 with a remainder of 25.
Record the quotient 5 as the next digit in the result. 
Result so far: 5890.415
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.

Let's proceed to step 10:
When dividing 250 by 65, we get 3 with a remainder of 55.
Write down 3 as next digit of the result. 
Result so far: 5890.4153
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.

Advancing to step 11:
550 divided by 65 is 8 with a remainder of 30.
Record the quotient 8 as the next digit in the result. 
Result so far: 5890.41538
If we take 520 away from 550, we end up 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.

Let's proceed to step 12:
300 divided by 65 is 4 with a remainder of 40.
Write down 4 as next digit of the result. 
Result so far: 5890.415384
Subtract 260 from 300 to get 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 13:
The number 65 fits into 400 6 times, leaving a remainder of 10.
The next digit of our result is 6. 
Result so far: 5890.4153846
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.

Let's proceed to step 14:
100 divided by 65 is 1 with a remainder of 35.
The next digit of our result is 1. 
Result so far: 5890.41538461
Subtract 65 from 100 to 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.

The quotient of the division is 5890.41538461, and the remainder is 3.5e-08.