We're dividing 509594 by 8 
We're looking to find how many times 8 goes into 509594.

Going ahead to step 1:
8 goes into 5 0 times with a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Include the next digit (0) from the dividend after 5, then repeat: 50 / 8

Step 2:
The number 8 fits into 50 6 times, leaving a remainder of 2.
Put 6 as the next digit of the answer. 
Result so far: 6.0
If we subtract 48 from 50, we get 2.
Bring next digit (9) of the dividend behind the 2 and repeat the process: 29 / 8

Let's proceed to step 3:
If we divide 29 by 8, we get 3 and a remainder of 5.
Record the quotient 3 as the next digit in the result. 
Result so far: 63.0
Subtracting 24 from 29 leaves us with 5.
Grab the next digit (5) from the dividend, add it to 5, then carry on: 55 / 8

Going ahead to step 4:
The number 8 fits into 55 6 times, leaving a remainder of 7.
Record the quotient 6 as the next digit in the result. 
Result so far: 636.0
The remainder is 7 after subtracting 48 from 55.
Take the next digit (9) from the dividend and append it to 7, then repeat: 79 / 8

Let's proceed to step 5:
8 can be fit into 79 9 times, resulting in a remainder of 7.
Use 9 as the next digit of our solution. 
Result so far: 6369.0
Subtracting 72 from 79 leaves us with 7.
Grab the next digit (4) from the dividend, add it to 7, then carry on: 74 / 8

Step 6:
The number 8 fits into 74 9 times, leaving a remainder of 2.
Write down 9 as next digit of the result. 
Result so far: 63699.0
If we subtract 72 from 74, we get 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:
8 goes into 20 2 times with a remainder of 4.
Write down 2 as next digit of the result. 
Result so far: 63699.2
Deduct 16 from 20 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.

Let's proceed to step 8:
The number 8 fits into 40 5 times, leaving a remainder of 0.
Use 5 as the next digit of our solution. 
Result so far: 63699.25
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.

Advancing to step 9:
The number 8 fits into 0 0 times, leaving a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 63699.25
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 10:
8 can be fit into 0 0 times, resulting in a remainder of 0.
The next digit of our result is 0. 
Result so far: 63699.25
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.

Our division results in 63699.25 with a remaining 0.0.