877 ÷ 75 
Our goal is to divide 877 by 75.

Step 1:
8 divided by 75 is 0 with a remainder of 8.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 8 and we're left with 8.
Include the next digit (7) from the dividend after 8, then repeat: 87 / 75

On to step 2:
75 can be fit into 87 1 times, resulting in a remainder of 12.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we subtract 75 from 87, we get 12.
Bring next digit (7) of the dividend behind the 12 and repeat the process: 127 / 75

Advancing to step 3:
The number 75 fits into 127 1 times, leaving a remainder of 52.
The next digit of our result is 1. 
Result so far: 11.0
Subtract 75 from 127 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.

Moving on to step 4:
75 can be fit into 520 6 times, resulting in a remainder of 70.
Write down 6 as next digit of the result. 
Result so far: 11.6
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.

Going ahead to step 5:
700 divided by 75 is 9 with a remainder of 25.
Record the quotient 9 as the next digit in the result. 
Result so far: 11.69
If we subtract 675 from 700, 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.

On to step 6:
If we divide 250 by 75, we get 3 and a remainder of 25.
The number 3 becomes the next digit in our result. 
Result so far: 11.693
The remainder is 25 after subtracting 225 from 250.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Step 7:
When dividing 250 by 75, we get 3 with a remainder of 25.
Use 3 as the next digit of our solution. 
Result so far: 11.6933
Subtract 225 from 250 to 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 outcome is 11.6933, with a leftover of 0.00025.