We're dividing 8827 by 75 
We're looking to find how many times 75 goes into 8827.

Going ahead to step 1:
If we divide 8 by 75, we get 0 and a remainder of 8.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 8 after subtracting 0 from 8.
Fetch the next digit (8) from the dividend, attach it to 8 and continue: 88 / 75

On to step 2:
The number 75 fits into 88 1 times, leaving a remainder of 13.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we subtract 75 from 88, we get 13.
Include the next digit (2) from the dividend after 13, then repeat: 132 / 75

Moving on to step 3:
When dividing 132 by 75, we get 1 with a remainder of 57.
The next digit of our result is 1. 
Result so far: 11.0
Deduct 75 from 132 and we're left with 57.
Fetch the next digit (7) from the dividend, attach it to 57 and continue: 577 / 75

Step 4:
The number 75 fits into 577 7 times, leaving a remainder of 52.
Put 7 as the next digit of the answer. 
Result so far: 117.0
The remainder is 52 after subtracting 525 from 577.
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 5:
When dividing 520 by 75, we get 6 with a remainder of 70.
Record the quotient 6 as the next digit in the result. 
Result so far: 117.6
If we subtract 450 from 520, we 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.

Advancing to step 6:
The number 75 fits into 700 9 times, leaving a remainder of 25.
The number 9 becomes the next digit in our result. 
Result so far: 117.69
Deduct 675 from 700 and we're left 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.

On to step 7:
The number 75 fits into 250 3 times, leaving a remainder of 25.
Use 3 as the next digit of our solution. 
Result so far: 117.693
Subtracting 225 from 250 leaves us 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.

Going ahead to step 8:
When dividing 250 by 75, we get 3 with a remainder of 25.
The next digit of our result is 3. 
Result so far: 117.6933
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.

Our division results in 117.6933 with a remaining 0.00025.