8751141 ÷ 823 
We want to figure out the number of times 8751141 can be divided by 823.

Advancing to step 1:
823 can be fit into 8 0 times, resulting in a remainder of 8.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 8, we get 8.
Grab the next digit (7) from the dividend, add it to 8, then carry on: 87 / 823

Moving on to step 2:
823 can be fit into 87 0 times, resulting in a remainder of 87.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 87 after subtracting 0 from 87.
Grab the next digit (5) from the dividend, add it to 87, then carry on: 875 / 823

Going ahead to step 3:
If we divide 875 by 823, we get 1 and a remainder of 52.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Deduct 823 from 875 and we're left with 52.
Fetch the next digit (1) from the dividend, attach it to 52 and continue: 521 / 823

Moving on to step 4:
If we divide 521 by 823, we get 0 and a remainder of 521.
Write down 0 as next digit of the result. 
Result so far: 10.0
The remainder is 521 after subtracting 0 from 521.
Take the next digit (1) from the dividend and append it to 521, then repeat: 5211 / 823

On to step 5:
5211 divided by 823 is 6 with a remainder of 273.
Write down 6 as next digit of the result. 
Result so far: 106.0
Subtracting 4938 from 5211 leaves us with 273.
Take the next digit (4) from the dividend and append it to 273, then repeat: 2734 / 823

Advancing to step 6:
823 goes into 2734 3 times with a remainder of 265.
Write down 3 as next digit of the result. 
Result so far: 1063.0
Subtract 2469 from 2734 to get 265.
Grab the next digit (1) from the dividend, add it to 265, then carry on: 2651 / 823

On to step 7:
823 goes into 2651 3 times with a remainder of 182.
The number 3 becomes the next digit in our result. 
Result so far: 10633.0
If we take 2469 away from 2651, we end up with 182.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1820, and continue the process.

Moving on to step 8:
If we divide 1820 by 823, we get 2 and a remainder of 174.
Write down 2 as next digit of the result. 
Result so far: 10633.2
Subtract 1646 from 1820 to get 174.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1740, and continue the process.

On to step 9:
If we divide 1740 by 823, we get 2 and a remainder of 94.
Put 2 as the next digit of the answer. 
Result so far: 10633.22
If we subtract 1646 from 1740, we get 94.
Since there are no more digits in the dividend, we add a zero to the remainder making it 940, and continue the process.

The final result is 10633.22 with a remainder of 0.094.