We look at the division of 627871 by 88 
Our goal is to divide 627871 by 88.

Moving on to step 1:
If we divide 6 by 88, we get 0 and a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Include the next digit (2) from the dividend after 6, then repeat: 62 / 88

Step 2:
62 divided by 88 is 0 with a remainder of 62.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 62, we get 62.
Include the next digit (7) from the dividend after 62, then repeat: 627 / 88

Advancing to step 3:
88 goes into 627 7 times with a remainder of 11.
Write down 7 as next digit of the result. 
Result so far: 7.0
If we subtract 616 from 627, we get 11.
Grab the next digit (8) from the dividend, add it to 11, then carry on: 118 / 88

Let's proceed to step 4:
88 can be fit into 118 1 times, resulting in a remainder of 30.
The next digit of our result is 1. 
Result so far: 71.0
If we take 88 away from 118, we end up with 30.
Append the next digit (7) from the dividend to 30 and continue with: 307 / 88

On to step 5:
When dividing 307 by 88, we get 3 with a remainder of 43.
The number 3 becomes the next digit in our result. 
Result so far: 713.0
The remainder is 43 after subtracting 264 from 307.
Grab the next digit (1) from the dividend, add it to 43, then carry on: 431 / 88

Advancing to step 6:
When dividing 431 by 88, we get 4 with a remainder of 79.
Use 4 as the next digit of our solution. 
Result so far: 7134.0
The remainder is 79 after subtracting 352 from 431.
Since there are no more digits in the dividend, we add a zero to the remainder making it 790, and continue the process.

Step 7:
88 goes into 790 8 times with a remainder of 86.
The number 8 becomes the next digit in our result. 
Result so far: 7134.8
Subtract 704 from 790 to get 86.
Since there are no more digits in the dividend, we add a zero to the remainder making it 860, and continue the process.

Advancing to step 8:
860 divided by 88 is 9 with a remainder of 68.
The next digit of our result is 9. 
Result so far: 7134.89
Subtracting 792 from 860 leaves us with 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Moving on to step 9:
88 goes into 680 7 times with a remainder of 64.
Put 7 as the next digit of the answer. 
Result so far: 7134.897
Subtracting 616 from 680 leaves us with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Advancing to step 10:
The number 88 fits into 640 7 times, leaving a remainder of 24.
Use 7 as the next digit of our solution. 
Result so far: 7134.8977
If we subtract 616 from 640, we get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

In conclusion, the division gives 7134.8977 with a balance of 0.00024.