8265 ÷ 6 
Our goal is to divide 8265 by 6.

On to step 1:
When dividing 8 by 6, we get 1 with a remainder of 2.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we subtract 6 from 8, we get 2.
Fetch the next digit (2) from the dividend, attach it to 2 and continue: 22 / 6

Moving on to step 2:
If we divide 22 by 6, we get 3 and a remainder of 4.
Record the quotient 3 as the next digit in the result. 
Result so far: 13.0
Deduct 18 from 22 and we're left with 4.
Append the next digit (6) from the dividend to 4 and continue with: 46 / 6

Step 3:
6 goes into 46 7 times with a remainder of 4.
Write down 7 as next digit of the result. 
Result so far: 137.0
Deduct 42 from 46 and we're left with 4.
Bring next digit (5) of the dividend behind the 4 and repeat the process: 45 / 6

Going ahead to step 4:
When dividing 45 by 6, we get 7 with a remainder of 3.
The next digit of our result is 7. 
Result so far: 1377.0
If we take 42 away from 45, we end up with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Going ahead to step 5:
6 can be fit into 30 5 times, resulting in a remainder of 0.
The next digit of our result is 5. 
Result so far: 1377.5
Deduct 30 from 30 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

On to step 6:
If we divide 0 by 6, we get 0 and a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 1377.5
Deduct 0 from 0 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Let's proceed to step 7:
If we divide 0 by 6, we get 0 and a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 1377.5
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The final result is 1377.5 with a remainder of 0.0.