We divide 631981 by 6
We want to figure out the number of times 631981 can be divided by 6.

Going ahead to step 1:
The number 6 fits into 6 1 times, leaving a remainder of 0.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtract 6 from 6 to get 0.
Grab the next digit (3) from the dividend, add it to 0, then carry on: 3 / 6

Advancing to step 2:
When dividing 3 by 6, we get 0 with a remainder of 3.
The next digit of our result is 0. 
Result so far: 10.0
Subtracting 0 from 3 leaves us with 3.
Include the next digit (1) from the dividend after 3, then repeat: 31 / 6

Let's proceed to step 3:
The number 6 fits into 31 5 times, leaving a remainder of 1.
Put 5 as the next digit of the answer. 
Result so far: 105.0
Subtracting 30 from 31 leaves us with 1.
Include the next digit (9) from the dividend after 1, then repeat: 19 / 6

Going ahead to step 4:
6 goes into 19 3 times with a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 1053.0
The remainder is 1 after subtracting 18 from 19.
Take the next digit (8) from the dividend and append it to 1, then repeat: 18 / 6

On to step 5:
18 divided by 6 is 3 with a remainder of 0.
Put 3 as the next digit of the answer. 
Result so far: 10533.0
Deduct 18 from 18 and we're left with 0.
Grab the next digit (1) from the dividend, add it to 0, then carry on: 1 / 6

Let's proceed to step 6:
When dividing 1 by 6, we get 0 with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 105330.0
Subtract 0 from 1 to 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.

Going ahead to step 7:
10 divided by 6 is 1 with a remainder of 4.
The number 1 becomes the next digit in our result. 
Result so far: 105330.1
If we take 6 away from 10, 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.

Moving on to step 8:
40 divided by 6 is 6 with a remainder of 4.
Write down 6 as next digit of the result. 
Result so far: 105330.16
Deduct 36 from 40 and we're left 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.

On to step 9:
When dividing 40 by 6, we get 6 with a remainder of 4.
Record the quotient 6 as the next digit in the result. 
Result so far: 105330.166
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.

After the division, we end up with 105330.166 and a remainder of 0.0004.