We look at the division of 104338 by 6 
We want to figure out the number of times 104338 can be divided by 6.

Step 1:
The number 6 fits into 1 0 times, leaving a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Include the next digit (0) from the dividend after 1, then repeat: 10 / 6

On to step 2:
6 goes into 10 1 times with a remainder of 4.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtract 6 from 10 to get 4.
Bring next digit (4) of the dividend behind the 4 and repeat the process: 44 / 6

Moving on to step 3:
If we divide 44 by 6, we get 7 and a remainder of 2.
Record the quotient 7 as the next digit in the result. 
Result so far: 17.0
Deduct 42 from 44 and we're left with 2.
Grab the next digit (3) from the dividend, add it to 2, then carry on: 23 / 6

On to step 4:
If we divide 23 by 6, we get 3 and a remainder of 5.
Write down 3 as next digit of the result. 
Result so far: 173.0
Subtract 18 from 23 to get 5.
Grab the next digit (3) from the dividend, add it to 5, then carry on: 53 / 6

Let's proceed to step 5:
6 goes into 53 8 times with a remainder of 5.
Write down 8 as next digit of the result. 
Result so far: 1738.0
The remainder is 5 after subtracting 48 from 53.
Grab the next digit (8) from the dividend, add it to 5, then carry on: 58 / 6

Advancing to step 6:
6 goes into 58 9 times with a remainder of 4.
Use 9 as the next digit of our solution. 
Result so far: 17389.0
Subtracting 54 from 58 leaves us 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.

Step 7:
If we divide 40 by 6, we get 6 and a remainder of 4.
Write down 6 as next digit of the result. 
Result so far: 17389.6
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.

Advancing to step 8:
6 goes into 40 6 times with a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 17389.66
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.

The quotient of the division is 17389.66, and the remainder is 0.004.