Let's divide 565322 by 8
We want to divide 565322 by 8.

Going ahead to step 1:
The number 8 fits into 5 0 times, leaving a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Fetch the next digit (6) from the dividend, attach it to 5 and continue: 56 / 8

Moving on to step 2:
8 goes into 56 7 times with a remainder of 0.
Record the quotient 7 as the next digit in the result. 
Result so far: 7.0
Subtract 56 from 56 to get 0.
Append the next digit (5) from the dividend to 0 and continue with: 5 / 8

On to step 3:
8 goes into 5 0 times with a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 70.0
Deduct 0 from 5 and we're left with 5.
Take the next digit (3) from the dividend and append it to 5, then repeat: 53 / 8

Advancing to step 4:
If we divide 53 by 8, we get 6 and a remainder of 5.
Record the quotient 6 as the next digit in the result. 
Result so far: 706.0
If we take 48 away from 53, we end up with 5.
Append the next digit (2) from the dividend to 5 and continue with: 52 / 8

Step 5:
The number 8 fits into 52 6 times, leaving a remainder of 4.
The number 6 becomes the next digit in our result. 
Result so far: 7066.0
Subtract 48 from 52 to get 4.
Take the next digit (2) from the dividend and append it to 4, then repeat: 42 / 8

Let's proceed to step 6:
If we divide 42 by 8, we get 5 and a remainder of 2.
Record the quotient 5 as the next digit in the result. 
Result so far: 70665.0
Subtracting 40 from 42 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 7:
When dividing 20 by 8, we get 2 with a remainder of 4.
The number 2 becomes the next digit in our result. 
Result so far: 70665.2
Subtract 16 from 20 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 8:
8 can be fit into 40 5 times, resulting in a remainder of 0.
Use 5 as the next digit of our solution. 
Result so far: 70665.25
If we subtract 40 from 40, 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.

Going ahead to step 9:
8 can be fit into 0 0 times, resulting in a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 70665.25
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.

Let's proceed to step 10:
0 divided by 8 is 0 with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 70665.25
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 70665.25 with a remainder of 0.0.