We divide 632611 by 6
We want to divide 632611 by 6.

Moving on to step 1:
6 goes into 6 1 times 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.
Fetch the next digit (3) from the dividend, attach it to 0 and continue: 3 / 6

On to step 2:
3 divided by 6 is 0 with a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 10.0
Deduct 0 from 3 and we're left with 3.
Fetch the next digit (2) from the dividend, attach it to 3 and continue: 32 / 6

Going ahead to step 3:
When dividing 32 by 6, we get 5 with a remainder of 2.
The number 5 becomes the next digit in our result. 
Result so far: 105.0
Deduct 30 from 32 and we're left with 2.
Take the next digit (6) from the dividend and append it to 2, then repeat: 26 / 6

Moving on to step 4:
26 divided by 6 is 4 with a remainder of 2.
Write down 4 as next digit of the result. 
Result so far: 1054.0
Subtracting 24 from 26 leaves us with 2.
Bring next digit (1) of the dividend behind the 2 and repeat the process: 21 / 6

Step 5:
6 goes into 21 3 times with a remainder of 3.
The next digit of our result is 3. 
Result so far: 10543.0
Deduct 18 from 21 and we're left with 3.
Bring next digit (1) of the dividend behind the 3 and repeat the process: 31 / 6

Moving on to step 6:
31 divided by 6 is 5 with a remainder of 1.
Write down 5 as next digit of the result. 
Result so far: 105435.0
If we subtract 30 from 31, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Advancing to step 7:
If we divide 10 by 6, we get 1 and a remainder of 4.
Put 1 as the next digit of the answer. 
Result so far: 105435.1
If we subtract 6 from 10, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 8:
40 divided by 6 is 6 with a remainder of 4.
Record the quotient 6 as the next digit in the result. 
Result so far: 105435.16
If we take 36 away from 40, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 9:
6 goes into 40 6 times with a remainder of 4.
Record the quotient 6 as the next digit in the result. 
Result so far: 105435.166
The remainder is 4 after subtracting 36 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Our division results in 105435.166 with a remaining 0.0004.