We look at the division of 420311 by 8 
We're looking to find how many times 8 goes into 420311.

Let's proceed to step 1:
The number 8 fits into 4 0 times, leaving a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Take the next digit (2) from the dividend and append it to 4, then repeat: 42 / 8

Advancing to step 2:
8 can be fit into 42 5 times, resulting in a remainder of 2.
Put 5 as the next digit of the answer. 
Result so far: 5.0
If we subtract 40 from 42, we get 2.
Grab the next digit (0) from the dividend, add it to 2, then carry on: 20 / 8

Let's proceed to step 3:
The number 8 fits into 20 2 times, leaving a remainder of 4.
The next digit of our result is 2. 
Result so far: 52.0
Subtract 16 from 20 to get 4.
Bring next digit (3) of the dividend behind the 4 and repeat the process: 43 / 8

Step 4:
When dividing 43 by 8, we get 5 with a remainder of 3.
Write down 5 as next digit of the result. 
Result so far: 525.0
The remainder is 3 after subtracting 40 from 43.
Include the next digit (1) from the dividend after 3, then repeat: 31 / 8

Advancing to step 5:
8 goes into 31 3 times with a remainder of 7.
Use 3 as the next digit of our solution. 
Result so far: 5253.0
If we subtract 24 from 31, we get 7.
Grab the next digit (1) from the dividend, add it to 7, then carry on: 71 / 8

Step 6:
8 goes into 71 8 times with a remainder of 7.
The number 8 becomes the next digit in our result. 
Result so far: 52538.0
The remainder is 7 after subtracting 64 from 71.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Let's proceed to step 7:
8 goes into 70 8 times with a remainder of 6.
The number 8 becomes the next digit in our result. 
Result so far: 52538.8
If we subtract 64 from 70, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 8:
The number 8 fits into 60 7 times, leaving a remainder of 4.
The next digit of our result is 7. 
Result so far: 52538.87
The remainder is 4 after subtracting 56 from 60.
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 9:
8 can be fit into 40 5 times, resulting in a remainder of 0.
The number 5 becomes the next digit in our result. 
Result so far: 52538.875
Subtracting 40 from 40 leaves us 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.

Moving on to step 10:
8 goes into 0 0 times with a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 52538.875
Deduct 0 from 0 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.

Going ahead to step 11:
8 goes into 0 0 times with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 52538.875
If we take 0 away from 0, we end up 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.

The final result is 52538.875 with a remainder of 0.0.