We're dividing 782179 by 88 
Our goal is to divide 782179 by 88.

Step 1:
The number 88 fits into 7 0 times, leaving a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 7, we get 7.
Append the next digit (8) from the dividend to 7 and continue with: 78 / 88

Step 2:
When dividing 78 by 88, we get 0 with a remainder of 78.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 78 leaves us with 78.
Bring next digit (2) of the dividend behind the 78 and repeat the process: 782 / 88

Advancing to step 3:
If we divide 782 by 88, we get 8 and a remainder of 78.
Record the quotient 8 as the next digit in the result. 
Result so far: 8.0
Subtract 704 from 782 to get 78.
Take the next digit (1) from the dividend and append it to 78, then repeat: 781 / 88

Moving on to step 4:
781 divided by 88 is 8 with a remainder of 77.
The number 8 becomes the next digit in our result. 
Result so far: 88.0
Subtracting 704 from 781 leaves us with 77.
Bring next digit (7) of the dividend behind the 77 and repeat the process: 777 / 88

Moving on to step 5:
When dividing 777 by 88, we get 8 with a remainder of 73.
The next digit of our result is 8. 
Result so far: 888.0
Deduct 704 from 777 and we're left with 73.
Grab the next digit (9) from the dividend, add it to 73, then carry on: 739 / 88

On to step 6:
739 divided by 88 is 8 with a remainder of 35.
Use 8 as the next digit of our solution. 
Result so far: 8888.0
If we subtract 704 from 739, we get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

On to step 7:
The number 88 fits into 350 3 times, leaving a remainder of 86.
Put 3 as the next digit of the answer. 
Result so far: 8888.3
If we subtract 264 from 350, we 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.

Step 8:
860 divided by 88 is 9 with a remainder of 68.
The next digit of our result is 9. 
Result so far: 8888.39
If we take 792 away from 860, we end up 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.

Going ahead to step 9:
88 can be fit into 680 7 times, resulting in a remainder of 64.
Write down 7 as next digit of the result. 
Result so far: 8888.397
If we subtract 616 from 680, we get 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Let's proceed to step 10:
The number 88 fits into 640 7 times, leaving a remainder of 24.
The next digit of our result is 7. 
Result so far: 8888.3977
The remainder is 24 after subtracting 616 from 640.
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 8888.3977 with a balance of 0.00024.