We look at the division of 421935 by 6 
We're looking to find how many times 6 goes into 421935.

Going ahead to step 1:
4 divided by 6 is 0 with a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Take the next digit (2) from the dividend and append it to 4, then repeat: 42 / 6

Advancing to step 2:
6 goes into 42 7 times with a remainder of 0.
The next digit of our result is 7. 
Result so far: 7.0
The remainder is 0 after subtracting 42 from 42.
Grab the next digit (1) from the dividend, add it to 0, then carry on: 1 / 6

Step 3:
6 goes into 1 0 times with a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 70.0
The remainder is 1 after subtracting 0 from 1.
Grab the next digit (9) from the dividend, add it to 1, then carry on: 19 / 6

On to step 4:
6 can be fit into 19 3 times, resulting in a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 703.0
If we subtract 18 from 19, we get 1.
Bring next digit (3) of the dividend behind the 1 and repeat the process: 13 / 6

Advancing to step 5:
The number 6 fits into 13 2 times, leaving a remainder of 1.
The next digit of our result is 2. 
Result so far: 7032.0
If we subtract 12 from 13, we get 1.
Bring next digit (5) of the dividend behind the 1 and repeat the process: 15 / 6

Step 6:
6 goes into 15 2 times with a remainder of 3.
Write down 2 as next digit of the result. 
Result so far: 70322.0
The remainder is 3 after subtracting 12 from 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Advancing to step 7:
The number 6 fits into 30 5 times, leaving a remainder of 0.
Put 5 as the next digit of the answer. 
Result so far: 70322.5
Deduct 30 from 30 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Let's proceed to step 8:
The number 6 fits into 0 0 times, leaving a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 70322.5
Subtract 0 from 0 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

On to step 9:
6 goes into 0 0 times with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 70322.5
If we subtract 0 from 0, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The quotient of the division is 70322.5, and the remainder is 0.0.