We're dividing 381679 by 6 
We're looking to find how many times 6 goes into 381679.

Advancing to step 1:
If we divide 3 by 6, we get 0 and a remainder of 3.
The next digit of our result is 0. 
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:
If we divide 38 by 6, we get 6 and a remainder of 2.
Write down 6 as next digit of the result. 
Result so far: 6.0
Subtract 36 from 38 to get 2.
Fetch the next digit (1) from the dividend, attach it to 2 and continue: 21 / 6

Going ahead to step 3:
6 goes into 21 3 times with a remainder of 3.
Record the quotient 3 as the next digit in the result. 
Result so far: 63.0
If we subtract 18 from 21, we get 3.
Include the next digit (6) from the dividend after 3, then repeat: 36 / 6

Step 4:
6 goes into 36 6 times with a remainder of 0.
The number 6 becomes the next digit in our result. 
Result so far: 636.0
The remainder is 0 after subtracting 36 from 36.
Grab the next digit (7) from the dividend, add it to 0, then carry on: 7 / 6

Moving on to step 5:
6 goes into 7 1 times with a remainder of 1.
Put 1 as the next digit of the answer. 
Result so far: 6361.0
Deduct 6 from 7 and we're left with 1.
Include the next digit (9) from the dividend after 1, then repeat: 19 / 6

Advancing to step 6:
19 divided by 6 is 3 with a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 63613.0
Deduct 18 from 19 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On 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: 63613.1
Subtract 6 from 10 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.

Moving on to step 8:
40 divided by 6 is 6 with a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 63613.16
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.
Use 6 as the next digit of our solution. 
Result so far: 63613.166
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.

The quotient of the division is 63613.166, and the remainder is 0.0004.