We look at the division of 418279 by 6 
We want to figure out the number of times 418279 can be divided by 6.

Step 1:
6 goes into 4 0 times with a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Fetch the next digit (1) from the dividend, attach it to 4 and continue: 41 / 6

Advancing to step 2:
The number 6 fits into 41 6 times, leaving a remainder of 5.
Write down 6 as next digit of the result. 
Result so far: 6.0
If we take 36 away from 41, we end up with 5.
Bring next digit (8) of the dividend behind the 5 and repeat the process: 58 / 6

Moving on to step 3:
6 can be fit into 58 9 times, resulting in a remainder of 4.
Record the quotient 9 as the next digit in the result. 
Result so far: 69.0
If we subtract 54 from 58, we get 4.
Take the next digit (2) from the dividend and append it to 4, then repeat: 42 / 6

Going ahead to step 4:
42 divided by 6 is 7 with a remainder of 0.
The next digit of our result is 7. 
Result so far: 697.0
The remainder is 0 after subtracting 42 from 42.
Include the next digit (7) from the dividend after 0, then repeat: 7 / 6

Let's proceed to step 5:
6 goes into 7 1 times with a remainder of 1.
The number 1 becomes the next digit in our result. 
Result so far: 6971.0
The remainder is 1 after subtracting 6 from 7.
Grab the next digit (9) from the dividend, add it to 1, then carry on: 19 / 6

Step 6:
The number 6 fits into 19 3 times, leaving a remainder of 1.
Record the quotient 3 as the next digit in the result. 
Result so far: 69713.0
If we take 18 away from 19, we end up 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.

Moving on to step 7:
6 can be fit into 10 1 times, resulting in a remainder of 4.
Use 1 as the next digit of our solution. 
Result so far: 69713.1
If we take 6 away from 10, 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.

Advancing to step 8:
6 goes into 40 6 times with a remainder of 4.
The number 6 becomes the next digit in our result. 
Result so far: 69713.16
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:
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: 69713.166
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 69713.166, and the remainder is 0.0004.