We're dividing 626642 by 6 
We want to divide 626642 by 6.

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
The remainder is 0 after subtracting 6 from 6.
Grab the next digit (2) from the dividend, add it to 0, then carry on: 2 / 6

Moving on to step 2:
6 can be fit into 2 0 times, resulting in a remainder of 2.
The next digit of our result is 0. 
Result so far: 10.0
The remainder is 2 after subtracting 0 from 2.
Include the next digit (6) from the dividend after 2, then repeat: 26 / 6

Going ahead to step 3:
If we divide 26 by 6, we get 4 and a remainder of 2.
Record the quotient 4 as the next digit in the result. 
Result so far: 104.0
If we subtract 24 from 26, we get 2.
Bring next digit (6) of the dividend behind the 2 and repeat the process: 26 / 6

Moving on to step 4:
When dividing 26 by 6, we get 4 with a remainder of 2.
Record the quotient 4 as the next digit in the result. 
Result so far: 1044.0
If we subtract 24 from 26, we get 2.
Bring next digit (4) of the dividend behind the 2 and repeat the process: 24 / 6

On to step 5:
6 goes into 24 4 times with a remainder of 0.
Write down 4 as next digit of the result. 
Result so far: 10444.0
If we take 24 away from 24, we end up with 0.
Grab the next digit (2) from the dividend, add it to 0, then carry on: 2 / 6

Moving on to step 6:
If we divide 2 by 6, we get 0 and a remainder of 2.
The next digit of our result is 0. 
Result so far: 104440.0
Deduct 0 from 2 and we're left 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.

Moving on to step 7:
The number 6 fits into 20 3 times, leaving a remainder of 2.
Write down 3 as next digit of the result. 
Result so far: 104440.3
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:
If we divide 20 by 6, we get 3 and a remainder of 2.
Put 3 as the next digit of the answer. 
Result so far: 104440.33
If we take 18 away from 20, we end up 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.

After the division, we end up with 104440.33 and a remainder of 0.002.