We look at the division of 627884 by 6 
We're looking to find how many times 6 goes into 627884.

Going ahead to step 1:
When dividing 6 by 6, we get 1 with a remainder of 0.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtract 6 from 6 to get 0.
Include the next digit (2) from the dividend after 0, then repeat: 2 / 6

Advancing to step 2:
When dividing 2 by 6, we get 0 with a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 10.0
If we take 0 away from 2, we end up with 2.
Take the next digit (7) from the dividend and append it to 2, then repeat: 27 / 6

Let's proceed to step 3:
6 goes into 27 4 times with a remainder of 3.
Record the quotient 4 as the next digit in the result. 
Result so far: 104.0
Deduct 24 from 27 and we're left with 3.
Fetch the next digit (8) from the dividend, attach it to 3 and continue: 38 / 6

Let's proceed to step 4:
The number 6 fits into 38 6 times, leaving a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 1046.0
The remainder is 2 after subtracting 36 from 38.
Bring next digit (8) of the dividend behind the 2 and repeat the process: 28 / 6

Advancing to step 5:
28 divided by 6 is 4 with a remainder of 4.
Use 4 as the next digit of our solution. 
Result so far: 10464.0
If we subtract 24 from 28, we get 4.
Take the next digit (4) from the dividend and append it to 4, then repeat: 44 / 6

Step 6:
44 divided by 6 is 7 with a remainder of 2.
Record the quotient 7 as the next digit in the result. 
Result so far: 104647.0
Subtracting 42 from 44 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 7:
20 divided by 6 is 3 with a remainder of 2.
The next digit of our result is 3. 
Result so far: 104647.3
If we subtract 18 from 20, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 8:
When dividing 20 by 6, we get 3 with a remainder of 2.
Record the quotient 3 as the next digit in the result. 
Result so far: 104647.33
Subtract 18 from 20 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Our division results in 104647.33 with a remaining 0.002.