We look at the division of 6827628 by 723 
Let's see how many times 723 fits into 6827628.

On to step 1:
723 can be fit into 6 0 times, resulting in a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Include the next digit (8) from the dividend after 6, then repeat: 68 / 723

Going ahead to step 2:
68 divided by 723 is 0 with a remainder of 68.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 68 after subtracting 0 from 68.
Take the next digit (2) from the dividend and append it to 68, then repeat: 682 / 723

Going ahead to step 3:
If we divide 682 by 723, we get 0 and a remainder of 682.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 682, we get 682.
Bring next digit (7) of the dividend behind the 682 and repeat the process: 6827 / 723

Let's proceed to step 4:
723 can be fit into 6827 9 times, resulting in a remainder of 320.
Record the quotient 9 as the next digit in the result. 
Result so far: 9.0
If we take 6507 away from 6827, we end up with 320.
Append the next digit (6) from the dividend to 320 and continue with: 3206 / 723

On to step 5:
3206 divided by 723 is 4 with a remainder of 314.
The next digit of our result is 4. 
Result so far: 94.0
Subtract 2892 from 3206 to get 314.
Take the next digit (2) from the dividend and append it to 314, then repeat: 3142 / 723

Going ahead to step 6:
The number 723 fits into 3142 4 times, leaving a remainder of 250.
Put 4 as the next digit of the answer. 
Result so far: 944.0
If we take 2892 away from 3142, we end up with 250.
Take the next digit (8) from the dividend and append it to 250, then repeat: 2508 / 723

Step 7:
When dividing 2508 by 723, we get 3 with a remainder of 339.
The next digit of our result is 3. 
Result so far: 9443.0
Subtracting 2169 from 2508 leaves us with 339.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3390, and continue the process.

Moving on to step 8:
723 can be fit into 3390 4 times, resulting in a remainder of 498.
The next digit of our result is 4. 
Result so far: 9443.4
If we take 2892 away from 3390, we end up with 498.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4980, and continue the process.

Going ahead to step 9:
If we divide 4980 by 723, we get 6 and a remainder of 642.
The next digit of our result is 6. 
Result so far: 9443.46
If we subtract 4338 from 4980, we get 642.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6420, and continue the process.

Advancing to step 10:
723 goes into 6420 8 times with a remainder of 636.
The next digit of our result is 8. 
Result so far: 9443.468
If we subtract 5784 from 6420, we get 636.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6360, and continue the process.

Going ahead to step 11:
If we divide 6360 by 723, we get 8 and a remainder of 576.
The next digit of our result is 8. 
Result so far: 9443.4688
If we subtract 5784 from 6360, 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.

The final result is 9443.4688 with a remainder of 0.00576.