816127 ÷ 75 
Our goal is to divide 816127 by 75.

On to step 1:
75 goes into 8 0 times with a remainder of 8.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 8, we get 8.
Append the next digit (1) from the dividend to 8 and continue with: 81 / 75

Moving on to step 2:
75 can be fit into 81 1 times, resulting in a remainder of 6.
The next digit of our result is 1. 
Result so far: 1.0
Deduct 75 from 81 and we're left with 6.
Append the next digit (6) from the dividend to 6 and continue with: 66 / 75

Moving on to step 3:
66 divided by 75 is 0 with a remainder of 66.
The number 0 becomes the next digit in our result. 
Result so far: 10.0
Subtracting 0 from 66 leaves us with 66.
Fetch the next digit (1) from the dividend, attach it to 66 and continue: 661 / 75

Going ahead to step 4:
The number 75 fits into 661 8 times, leaving a remainder of 61.
Put 8 as the next digit of the answer. 
Result so far: 108.0
The remainder is 61 after subtracting 600 from 661.
Take the next digit (2) from the dividend and append it to 61, then repeat: 612 / 75

Moving on to step 5:
If we divide 612 by 75, we get 8 and a remainder of 12.
Put 8 as the next digit of the answer. 
Result so far: 1088.0
Deduct 600 from 612 and we're left with 12.
Append the next digit (7) from the dividend to 12 and continue with: 127 / 75

Let's proceed to step 6:
75 can be fit into 127 1 times, resulting in a remainder of 52.
The number 1 becomes the next digit in our result. 
Result so far: 10881.0
If we subtract 75 from 127, we 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 7:
When dividing 520 by 75, we get 6 with a remainder of 70.
Use 6 as the next digit of our solution. 
Result so far: 10881.6
The remainder is 70 after subtracting 450 from 520.
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 8:
The number 75 fits into 700 9 times, leaving a remainder of 25.
Use 9 as the next digit of our solution. 
Result so far: 10881.69
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.

Step 9:
The number 75 fits into 250 3 times, leaving a remainder of 25.
Put 3 as the next digit of the answer. 
Result so far: 10881.693
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.

Step 10:
250 divided by 75 is 3 with a remainder of 25.
The next digit of our result is 3. 
Result so far: 10881.6933
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.

In conclusion, the division gives 10881.6933 with a balance of 0.00025.