727384 ÷ 6 
We want to figure out the number of times 727384 can be divided by 6.

On to step 1:
7 divided by 6 is 1 with a remainder of 1.
Use 1 as the next digit of our solution. 
Result so far: 1.0
The remainder is 1 after subtracting 6 from 7.
Fetch the next digit (2) from the dividend, attach it to 1 and continue: 12 / 6

On to step 2:
The number 6 fits into 12 2 times, leaving a remainder of 0.
Use 2 as the next digit of our solution. 
Result so far: 12.0
The remainder is 0 after subtracting 12 from 12.
Grab the next digit (7) from the dividend, add it to 0, then carry on: 7 / 6

On to step 3:
If we divide 7 by 6, we get 1 and a remainder of 1.
Use 1 as the next digit of our solution. 
Result so far: 121.0
If we take 6 away from 7, we end up with 1.
Take the next digit (3) from the dividend and append it to 1, then repeat: 13 / 6

Let's proceed to step 4:
When dividing 13 by 6, we get 2 with a remainder of 1.
Record the quotient 2 as the next digit in the result. 
Result so far: 1212.0
Subtracting 12 from 13 leaves us with 1.
Bring next digit (8) of the dividend behind the 1 and repeat the process: 18 / 6

On to step 5:
The number 6 fits into 18 3 times, leaving a remainder of 0.
The next digit of our result is 3. 
Result so far: 12123.0
If we take 18 away from 18, we end up with 0.
Fetch the next digit (4) from the dividend, attach it to 0 and continue: 4 / 6

Going ahead to step 6:
4 divided by 6 is 0 with a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 121230.0
Deduct 0 from 4 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.

Advancing to step 7:
6 goes into 40 6 times with a remainder of 4.
Write down 6 as next digit of the result. 
Result so far: 121230.6
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.

Moving on to step 8:
6 goes into 40 6 times with a remainder of 4.
Put 6 as the next digit of the answer. 
Result so far: 121230.66
Subtracting 36 from 40 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.

The final outcome is 121230.66, with a leftover of 0.004.