We're dividing 6370621 by 728 
Our goal is to divide 6370621 by 728.

Advancing to step 1:
When dividing 6 by 728, we get 0 with 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.
Fetch the next digit (3) from the dividend, attach it to 6 and continue: 63 / 728

Going ahead to step 2:
63 divided by 728 is 0 with a remainder of 63.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 63, we get 63.
Take the next digit (7) from the dividend and append it to 63, then repeat: 637 / 728

Moving on to step 3:
637 divided by 728 is 0 with a remainder of 637.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 637 leaves us with 637.
Append the next digit (0) from the dividend to 637 and continue with: 6370 / 728

Moving on to step 4:
The number 728 fits into 6370 8 times, leaving a remainder of 546.
Write down 8 as next digit of the result. 
Result so far: 8.0
If we take 5824 away from 6370, we end up with 546.
Fetch the next digit (6) from the dividend, attach it to 546 and continue: 5466 / 728

Going ahead to step 5:
728 goes into 5466 7 times with a remainder of 370.
The number 7 becomes the next digit in our result. 
Result so far: 87.0
Subtract 5096 from 5466 to get 370.
Append the next digit (2) from the dividend to 370 and continue with: 3702 / 728

Step 6:
728 goes into 3702 5 times with a remainder of 62.
Use 5 as the next digit of our solution. 
Result so far: 875.0
If we subtract 3640 from 3702, we get 62.
Fetch the next digit (1) from the dividend, attach it to 62 and continue: 621 / 728

Let's proceed to step 7:
621 divided by 728 is 0 with a remainder of 621.
The next digit of our result is 0. 
Result so far: 8750.0
If we take 0 away from 621, we end up with 621.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6210, and continue the process.

Advancing to step 8:
When dividing 6210 by 728, we get 8 with a remainder of 386.
Put 8 as the next digit of the answer. 
Result so far: 8750.8
Deduct 5824 from 6210 and we're left with 386.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3860, and continue the process.

Moving on to step 9:
When dividing 3860 by 728, we get 5 with a remainder of 220.
Record the quotient 5 as the next digit in the result. 
Result so far: 8750.85
If we take 3640 away from 3860, we end up with 220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2200, and continue the process.

Moving on to step 10:
2200 divided by 728 is 3 with a remainder of 16.
Write down 3 as next digit of the result. 
Result so far: 8750.853
If we subtract 2184 from 2200, 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 11:
The number 728 fits into 160 0 times, leaving a remainder of 160.
Put 0 as the next digit of the answer. 
Result so far: 8750.853
The remainder is 160 after subtracting 0 from 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1600, and continue the process.

Going ahead to step 12:
728 can be fit into 1600 2 times, resulting in a remainder of 144.
The next digit of our result is 2. 
Result so far: 8750.85302
Subtract 1456 from 1600 to get 144.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1440, and continue the process.

Moving on to step 13:
728 can be fit into 1440 1 times, resulting in a remainder of 712.
Record the quotient 1 as the next digit in the result. 
Result so far: 8750.853021
Subtract 728 from 1440 to get 712.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7120, and continue the process.

Advancing to step 14:
7120 divided by 728 is 9 with a remainder of 568.
Put 9 as the next digit of the answer. 
Result so far: 8750.8530219
Subtract 6552 from 7120 to get 568.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5680, and continue the process.

On to step 15:
728 can be fit into 5680 7 times, resulting in a remainder of 584.
The number 7 becomes the next digit in our result. 
Result so far: 8750.85302197
If we subtract 5096 from 5680, we get 584.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5840, and continue the process.

After the division, we end up with 8750.85302197 and a remainder of 5.84e-07.