We look at the division of 628678 by 75 
Our goal is to divide 628678 by 75.

On to step 1:
If we divide 6 by 75, we get 0 and a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Append the next digit (2) from the dividend to 6 and continue with: 62 / 75

Step 2:
The number 75 fits into 62 0 times, leaving a remainder of 62.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 62 leaves us with 62.
Bring next digit (8) of the dividend behind the 62 and repeat the process: 628 / 75

Moving on to step 3:
When dividing 628 by 75, we get 8 with a remainder of 28.
The next digit of our result is 8. 
Result so far: 8.0
Deduct 600 from 628 and we're left with 28.
Take the next digit (6) from the dividend and append it to 28, then repeat: 286 / 75

Step 4:
If we divide 286 by 75, we get 3 and a remainder of 61.
Write down 3 as next digit of the result. 
Result so far: 83.0
If we subtract 225 from 286, we get 61.
Bring next digit (7) of the dividend behind the 61 and repeat the process: 617 / 75

Step 5:
75 goes into 617 8 times with a remainder of 17.
Use 8 as the next digit of our solution. 
Result so far: 838.0
If we take 600 away from 617, we end up with 17.
Take the next digit (8) from the dividend and append it to 17, then repeat: 178 / 75

Going ahead to step 6:
The number 75 fits into 178 2 times, leaving a remainder of 28.
Write down 2 as next digit of the result. 
Result so far: 8382.0
Deduct 150 from 178 and we're left with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Going ahead to step 7:
280 divided by 75 is 3 with a remainder of 55.
Put 3 as the next digit of the answer. 
Result so far: 8382.3
The remainder is 55 after subtracting 225 from 280.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Step 8:
75 goes into 550 7 times with a remainder of 25.
The next digit of our result is 7. 
Result so far: 8382.37
If we subtract 525 from 550, we get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Going ahead to step 9:
75 can be fit into 250 3 times, resulting in a remainder of 25.
Put 3 as the next digit of the answer. 
Result so far: 8382.373
If we take 225 away from 250, we end up with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Going ahead to step 10:
75 goes into 250 3 times with a remainder of 25.
The next digit of our result is 3. 
Result so far: 8382.3733
Deduct 225 from 250 and we're left with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

After the division, we end up with 8382.3733 and a remainder of 0.00025.