We're dividing 728634 by 88 
Let's see how many times 88 fits into 728634.

Advancing to step 1:
88 can be fit into 7 0 times, resulting in a remainder of 7.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 7 to get 7.
Fetch the next digit (2) from the dividend, attach it to 7 and continue: 72 / 88

Step 2:
If we divide 72 by 88, we get 0 and a remainder of 72.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 72, we end up with 72.
Bring next digit (8) of the dividend behind the 72 and repeat the process: 728 / 88

Going ahead to step 3:
If we divide 728 by 88, we get 8 and a remainder of 24.
Put 8 as the next digit of the answer. 
Result so far: 8.0
If we subtract 704 from 728, we get 24.
Take the next digit (6) from the dividend and append it to 24, then repeat: 246 / 88

Advancing to step 4:
88 goes into 246 2 times with a remainder of 70.
Use 2 as the next digit of our solution. 
Result so far: 82.0
Subtract 176 from 246 to get 70.
Fetch the next digit (3) from the dividend, attach it to 70 and continue: 703 / 88

Let's proceed to step 5:
When dividing 703 by 88, we get 7 with a remainder of 87.
Use 7 as the next digit of our solution. 
Result so far: 827.0
The remainder is 87 after subtracting 616 from 703.
Take the next digit (4) from the dividend and append it to 87, then repeat: 874 / 88

Step 6:
When dividing 874 by 88, we get 9 with a remainder of 82.
Use 9 as the next digit of our solution. 
Result so far: 8279.0
Subtract 792 from 874 to get 82.
Since there are no more digits in the dividend, we add a zero to the remainder making it 820, and continue the process.

On to step 7:
88 goes into 820 9 times with a remainder of 28.
Write down 9 as next digit of the result. 
Result so far: 8279.9
If we subtract 792 from 820, we get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

On to step 8:
When dividing 280 by 88, we get 3 with a remainder of 16.
Put 3 as the next digit of the answer. 
Result so far: 8279.93
Deduct 264 from 280 and we're left with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Going ahead to step 9:
88 can be fit into 160 1 times, resulting in a remainder of 72.
Record the quotient 1 as the next digit in the result. 
Result so far: 8279.931
Deduct 88 from 160 and we're left with 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

Step 10:
88 can be fit into 720 8 times, resulting in a remainder of 16.
Use 8 as the next digit of our solution. 
Result so far: 8279.9318
Subtracting 704 from 720 leaves us with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

On to step 11:
88 goes into 160 1 times with a remainder of 72.
Record the quotient 1 as the next digit in the result. 
Result so far: 8279.93181
Subtracting 88 from 160 leaves us with 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

On to step 12:
88 goes into 720 8 times with a remainder of 16.
Put 8 as the next digit of the answer. 
Result so far: 8279.931818
If we subtract 704 from 720, we get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Advancing to step 13:
The number 88 fits into 160 1 times, leaving a remainder of 72.
Record the quotient 1 as the next digit in the result. 
Result so far: 8279.9318181
Subtracting 88 from 160 leaves us with 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

On to step 14:
88 can be fit into 720 8 times, resulting in a remainder of 16.
Write down 8 as next digit of the result. 
Result so far: 8279.93181818
Subtracting 704 from 720 leaves us with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

After the division, we end up with 8279.93181818 and a remainder of 1.6e-08.