8077 ÷ 75 
Our goal is to divide 8077 by 75.

Moving on to step 1:
75 can be fit into 8 0 times, resulting in a remainder of 8.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 8 leaves us with 8.
Include the next digit (0) from the dividend after 8, then repeat: 80 / 75

Advancing to step 2:
75 goes into 80 1 times with a remainder of 5.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Deduct 75 from 80 and we're left with 5.
Take the next digit (7) from the dividend and append it to 5, then repeat: 57 / 75

On to step 3:
75 can be fit into 57 0 times, resulting in a remainder of 57.
Write down 0 as next digit of the result. 
Result so far: 10.0
If we take 0 away from 57, we end up with 57.
Take the next digit (7) from the dividend and append it to 57, then repeat: 577 / 75

Advancing to step 4:
75 goes into 577 7 times with a remainder of 52.
Write down 7 as next digit of the result. 
Result so far: 107.0
Subtract 525 from 577 to get 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Going ahead to step 5:
The number 75 fits into 520 6 times, leaving a remainder of 70.
The next digit of our result is 6. 
Result so far: 107.6
Subtract 450 from 520 to get 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Step 6:
75 goes into 700 9 times with a remainder of 25.
Record the quotient 9 as the next digit in the result. 
Result so far: 107.69
The remainder is 25 after subtracting 675 from 700.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Going ahead to step 7:
75 goes into 250 3 times with a remainder of 25.
The number 3 becomes the next digit in our result. 
Result so far: 107.693
If we take 225 away from 250, we end up with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Step 8:
250 divided by 75 is 3 with a remainder of 25.
The number 3 becomes the next digit in our result. 
Result so far: 107.6933
If we subtract 225 from 250, 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.

The final result is 107.6933 with a remainder of 0.00025.