We're dividing 911271 by 864 
We're looking to find how many times 864 goes into 911271.

Moving on to step 1:
If we divide 9 by 864, we get 0 and a remainder of 9.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 9 to get 9.
Append the next digit (1) from the dividend to 9 and continue with: 91 / 864

On to step 2:
The number 864 fits into 91 0 times, leaving a remainder of 91.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 91 and we're left with 91.
Fetch the next digit (1) from the dividend, attach it to 91 and continue: 911 / 864

Moving on to step 3:
911 divided by 864 is 1 with a remainder of 47.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we take 864 away from 911, we end up with 47.
Fetch the next digit (2) from the dividend, attach it to 47 and continue: 472 / 864

Advancing to step 4:
If we divide 472 by 864, we get 0 and a remainder of 472.
The number 0 becomes the next digit in our result. 
Result so far: 10.0
Subtracting 0 from 472 leaves us with 472.
Take the next digit (7) from the dividend and append it to 472, then repeat: 4727 / 864

Advancing to step 5:
The number 864 fits into 4727 5 times, leaving a remainder of 407.
The number 5 becomes the next digit in our result. 
Result so far: 105.0
The remainder is 407 after subtracting 4320 from 4727.
Bring next digit (1) of the dividend behind the 407 and repeat the process: 4071 / 864

Advancing to step 6:
The number 864 fits into 4071 4 times, leaving a remainder of 615.
Record the quotient 4 as the next digit in the result. 
Result so far: 1054.0
If we subtract 3456 from 4071, we get 615.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6150, and continue the process.

Let's proceed to step 7:
864 goes into 6150 7 times with a remainder of 102.
The number 7 becomes the next digit in our result. 
Result so far: 1054.7
The remainder is 102 after subtracting 6048 from 6150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1020, and continue the process.

Going ahead to step 8:
864 goes into 1020 1 times with a remainder of 156.
Use 1 as the next digit of our solution. 
Result so far: 1054.71
If we subtract 864 from 1020, we get 156.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1560, and continue the process.

Going ahead to step 9:
864 can be fit into 1560 1 times, resulting in a remainder of 696.
Record the quotient 1 as the next digit in the result. 
Result so far: 1054.711
Subtracting 864 from 1560 leaves us with 696.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6960, and continue the process.

The final result is 1054.711 with a remainder of 0.0696.