We look at the division of 71377681 by 823 
Our goal is to divide 71377681 by 823.

Step 1:
823 goes into 7 0 times with a remainder of 7.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 7, we get 7.
Take the next digit (1) from the dividend and append it to 7, then repeat: 71 / 823

Step 2:
If we divide 71 by 823, we get 0 and a remainder of 71.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 71 and we're left with 71.
Grab the next digit (3) from the dividend, add it to 71, then carry on: 713 / 823

Advancing to step 3:
The number 823 fits into 713 0 times, leaving a remainder of 713.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 713 after subtracting 0 from 713.
Fetch the next digit (7) from the dividend, attach it to 713 and continue: 7137 / 823

Advancing to step 4:
7137 divided by 823 is 8 with a remainder of 553.
Record the quotient 8 as the next digit in the result. 
Result so far: 8.0
Subtract 6584 from 7137 to get 553.
Bring next digit (7) of the dividend behind the 553 and repeat the process: 5537 / 823

Advancing to step 5:
823 can be fit into 5537 6 times, resulting in a remainder of 599.
Put 6 as the next digit of the answer. 
Result so far: 86.0
The remainder is 599 after subtracting 4938 from 5537.
Append the next digit (6) from the dividend to 599 and continue with: 5996 / 823

Step 6:
If we divide 5996 by 823, we get 7 and a remainder of 235.
The next digit of our result is 7. 
Result so far: 867.0
If we take 5761 away from 5996, we end up with 235.
Grab the next digit (8) from the dividend, add it to 235, then carry on: 2358 / 823

Advancing to step 7:
2358 divided by 823 is 2 with a remainder of 712.
The next digit of our result is 2. 
Result so far: 8672.0
The remainder is 712 after subtracting 1646 from 2358.
Include the next digit (1) from the dividend after 712, then repeat: 7121 / 823

Step 8:
If we divide 7121 by 823, we get 8 and a remainder of 537.
Write down 8 as next digit of the result. 
Result so far: 86728.0
If we take 6584 away from 7121, we end up with 537.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5370, and continue the process.

Let's proceed to step 9:
The number 823 fits into 5370 6 times, leaving a remainder of 432.
Put 6 as the next digit of the answer. 
Result so far: 86728.6
Deduct 4938 from 5370 and we're left with 432.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4320, and continue the process.

Advancing to step 10:
The number 823 fits into 4320 5 times, leaving a remainder of 205.
Write down 5 as next digit of the result. 
Result so far: 86728.65
Subtract 4115 from 4320 to get 205.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2050, and continue the process.

On to step 11:
When dividing 2050 by 823, we get 2 with a remainder of 404.
Use 2 as the next digit of our solution. 
Result so far: 86728.652
If we subtract 1646 from 2050, we get 404.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4040, and continue the process.

Let's proceed to step 12:
823 can be fit into 4040 4 times, resulting in a remainder of 748.
The next digit of our result is 4. 
Result so far: 86728.6524
Deduct 3292 from 4040 and we're left with 748.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7480, and continue the process.

Going ahead to step 13:
The number 823 fits into 7480 9 times, leaving a remainder of 73.
Use 9 as the next digit of our solution. 
Result so far: 86728.65249
Deduct 7407 from 7480 and we're left with 73.
Since there are no more digits in the dividend, we add a zero to the remainder making it 730, and continue the process.

Advancing to step 14:
If we divide 730 by 823, we get 0 and a remainder of 730.
The next digit of our result is 0. 
Result so far: 86728.65249
Deduct 0 from 730 and we're left with 730.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7300, and continue the process.

Let's proceed to step 15:
823 goes into 7300 8 times with a remainder of 716.
Write down 8 as next digit of the result. 
Result so far: 86728.6524908
Subtracting 6584 from 7300 leaves us with 716.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7160, and continue the process.

Moving on to step 16:
823 goes into 7160 8 times with a remainder of 576.
Put 8 as the next digit of the answer. 
Result so far: 86728.65249088
If we subtract 6584 from 7160, we get 576.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5760, and continue the process.

In conclusion, the division gives 86728.65249088 with a balance of 5.76e-07.