4275 ÷ 65 
We want to divide 4275 by 65.

Moving on to step 1:
The number 65 fits into 4 0 times, leaving a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Take the next digit (2) from the dividend and append it to 4, then repeat: 42 / 65

Going ahead to step 2:
65 goes into 42 0 times with a remainder of 42.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 42 after subtracting 0 from 42.
Include the next digit (7) from the dividend after 42, then repeat: 427 / 65

Let's proceed to step 3:
427 divided by 65 is 6 with a remainder of 37.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
Deduct 390 from 427 and we're left with 37.
Bring next digit (5) of the dividend behind the 37 and repeat the process: 375 / 65

Moving on to step 4:
65 can be fit into 375 5 times, resulting in a remainder of 50.
Put 5 as the next digit of the answer. 
Result so far: 65.0
Subtract 325 from 375 to get 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 5:
65 goes into 500 7 times with a remainder of 45.
Use 7 as the next digit of our solution. 
Result so far: 65.7
If we subtract 455 from 500, we get 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Going ahead to step 6:
The number 65 fits into 450 6 times, leaving a remainder of 60.
Record the quotient 6 as the next digit in the result. 
Result so far: 65.76
Subtracting 390 from 450 leaves us 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.

Step 7:
The number 65 fits into 600 9 times, leaving a remainder of 15.
The next digit of our result is 9. 
Result so far: 65.769
If we subtract 585 from 600, we get 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 can be fit into 150 2 times, resulting in a remainder of 20.
Write down 2 as next digit of the result. 
Result so far: 65.7692
Subtract 130 from 150 to get 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:
The number 65 fits into 200 3 times, leaving a remainder of 5.
Use 3 as the next digit of our solution. 
Result so far: 65.76923
Deduct 195 from 200 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 10:
65 goes into 50 0 times with a remainder of 50.
Write down 0 as next digit of the result. 
Result so far: 65.76923
Deduct 0 from 50 and we're left 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:
65 goes into 500 7 times with a remainder of 45.
Write down 7 as next digit of the result. 
Result so far: 65.7692307
Subtracting 455 from 500 leaves us 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:
65 can be fit into 450 6 times, resulting in a remainder of 60.
The number 6 becomes the next digit in our result. 
Result so far: 65.76923076
If we subtract 390 from 450, we get 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

The final result is 65.76923076 with a remainder of 6e-08.