We look at the division of 420579 by 8 
We want to figure out the number of times 420579 can be divided by 8.

Advancing to step 1:
8 goes into 4 0 times with a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Append the next digit (2) from the dividend to 4 and continue with: 42 / 8

On to step 2:
If we divide 42 by 8, we get 5 and a remainder of 2.
Write down 5 as next digit of the result. 
Result so far: 5.0
Deduct 40 from 42 and we're left with 2.
Append the next digit (0) from the dividend to 2 and continue with: 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
If we subtract 16 from 20, we get 4.
Fetch the next digit (5) from the dividend, attach it to 4 and continue: 45 / 8

Step 4:
When dividing 45 by 8, we get 5 with a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 525.0
Subtracting 40 from 45 leaves us with 5.
Bring next digit (7) of the dividend behind the 5 and repeat the process: 57 / 8

On to step 5:
The number 8 fits into 57 7 times, leaving a remainder of 1.
The number 7 becomes the next digit in our result. 
Result so far: 5257.0
Subtract 56 from 57 to get 1.
Take the next digit (9) from the dividend and append it to 1, then repeat: 19 / 8

On to step 6:
8 goes into 19 2 times with a remainder of 3.
Record the quotient 2 as the next digit in the result. 
Result so far: 52572.0
Subtracting 16 from 19 leaves us with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Let's proceed to step 7:
8 goes into 30 3 times with a remainder of 6.
Record the quotient 3 as the next digit in the result. 
Result so far: 52572.3
The remainder is 6 after subtracting 24 from 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 8:
When dividing 60 by 8, we get 7 with a remainder of 4.
The number 7 becomes the next digit in our result. 
Result so far: 52572.37
Subtract 56 from 60 to 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.

Going ahead to step 9:
8 goes into 40 5 times with a remainder of 0.
Put 5 as the next digit of the answer. 
Result so far: 52572.375
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.

Let's proceed to step 10:
The number 8 fits into 0 0 times, leaving a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 52572.375
Subtracting 0 from 0 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.

Advancing to step 11:
8 goes into 0 0 times with a remainder of 0.
The next digit of our result is 0. 
Result so far: 52572.375
The remainder is 0 after subtracting 0 from 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 52572.375 with a remainder of 0.0.