We look at the division of 381769 by 6 
We want to divide 381769 by 6.

Let's proceed to step 1:
3 divided by 6 is 0 with a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Include the next digit (8) from the dividend after 3, then repeat: 38 / 6

Let's proceed to step 2:
38 divided by 6 is 6 with a remainder of 2.
The next digit of our result is 6. 
Result so far: 6.0
Deduct 36 from 38 and we're left with 2.
Take the next digit (1) from the dividend and append it to 2, then repeat: 21 / 6

Let's proceed to step 3:
The number 6 fits into 21 3 times, leaving a remainder of 3.
The number 3 becomes the next digit in our result. 
Result so far: 63.0
Deduct 18 from 21 and we're left with 3.
Take the next digit (7) from the dividend and append it to 3, then repeat: 37 / 6

Step 4:
The number 6 fits into 37 6 times, leaving a remainder of 1.
Record the quotient 6 as the next digit in the result. 
Result so far: 636.0
Subtracting 36 from 37 leaves us with 1.
Bring next digit (6) of the dividend behind the 1 and repeat the process: 16 / 6

On to step 5:
The number 6 fits into 16 2 times, leaving a remainder of 4.
Put 2 as the next digit of the answer. 
Result so far: 6362.0
The remainder is 4 after subtracting 12 from 16.
Append the next digit (9) from the dividend to 4 and continue with: 49 / 6

On to step 6:
6 goes into 49 8 times with a remainder of 1.
The number 8 becomes the next digit in our result. 
Result so far: 63628.0
If we subtract 48 from 49, 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.

Step 7:
The number 6 fits into 10 1 times, leaving a remainder of 4.
Write down 1 as next digit of the result. 
Result so far: 63628.1
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.

Let's proceed to step 8:
6 can be fit into 40 6 times, resulting in a remainder of 4.
Record the quotient 6 as the next digit in the result. 
Result so far: 63628.16
If we subtract 36 from 40, 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.

Step 9:
40 divided by 6 is 6 with a remainder of 4.
Write down 6 as next digit of the result. 
Result so far: 63628.166
Subtract 36 from 40 to 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.

Our division results in 63628.166 with a remaining 0.0004.