Let's divide 641903 by 6
Our goal is to divide 641903 by 6.

Going ahead to step 1:
If we divide 6 by 6, we get 1 and a remainder of 0.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtract 6 from 6 to get 0.
Include the next digit (4) from the dividend after 0, then repeat: 4 / 6

Moving on to step 2:
If we divide 4 by 6, we get 0 and a remainder of 4.
The next digit of our result is 0. 
Result so far: 10.0
Subtracting 0 from 4 leaves us with 4.
Bring next digit (1) of the dividend behind the 4 and repeat the process: 41 / 6

Step 3:
When dividing 41 by 6, we get 6 with a remainder of 5.
Write down 6 as next digit of the result. 
Result so far: 106.0
Subtracting 36 from 41 leaves us with 5.
Append the next digit (9) from the dividend to 5 and continue with: 59 / 6

Going ahead to step 4:
59 divided by 6 is 9 with a remainder of 5.
Use 9 as the next digit of our solution. 
Result so far: 1069.0
The remainder is 5 after subtracting 54 from 59.
Include the next digit (0) from the dividend after 5, then repeat: 50 / 6

Going ahead to step 5:
When dividing 50 by 6, we get 8 with a remainder of 2.
The number 8 becomes the next digit in our result. 
Result so far: 10698.0
Subtracting 48 from 50 leaves us with 2.
Take the next digit (3) from the dividend and append it to 2, then repeat: 23 / 6

On to step 6:
If we divide 23 by 6, we get 3 and a remainder of 5.
Put 3 as the next digit of the answer. 
Result so far: 106983.0
The remainder is 5 after subtracting 18 from 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 7:
6 goes into 50 8 times with a remainder of 2.
The number 8 becomes the next digit in our result. 
Result so far: 106983.8
If we subtract 48 from 50, 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.

On to step 8:
6 can be fit into 20 3 times, resulting in a remainder of 2.
Record the quotient 3 as the next digit in the result. 
Result so far: 106983.83
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.

Step 9:
6 goes into 20 3 times with a remainder of 2.
Write down 3 as next digit of the result. 
Result so far: 106983.833
Deduct 18 from 20 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.

The quotient of the division is 106983.833, and the remainder is 0.0002.