Let's divide 516599 by 8
We want to divide 516599 by 8.

Going ahead to step 1:
5 divided by 8 is 0 with a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Fetch the next digit (1) from the dividend, attach it to 5 and continue: 51 / 8

Let's proceed to step 2:
The number 8 fits into 51 6 times, leaving a remainder of 3.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
The remainder is 3 after subtracting 48 from 51.
Bring next digit (6) of the dividend behind the 3 and repeat the process: 36 / 8

On to step 3:
8 can be fit into 36 4 times, resulting in a remainder of 4.
Record the quotient 4 as the next digit in the result. 
Result so far: 64.0
If we take 32 away from 36, we end up with 4.
Bring next digit (5) of the dividend behind the 4 and repeat the process: 45 / 8

Step 4:
The number 8 fits into 45 5 times, leaving a remainder of 5.
The next digit of our result is 5. 
Result so far: 645.0
If we take 40 away from 45, we end up with 5.
Bring next digit (9) of the dividend behind the 5 and repeat the process: 59 / 8

On to step 5:
8 goes into 59 7 times with a remainder of 3.
Record the quotient 7 as the next digit in the result. 
Result so far: 6457.0
If we take 56 away from 59, we end up with 3.
Append the next digit (9) from the dividend to 3 and continue with: 39 / 8

Advancing to step 6:
39 divided by 8 is 4 with a remainder of 7.
The number 4 becomes the next digit in our result. 
Result so far: 64574.0
If we take 32 away from 39, we end up with 7.
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.
Write down 8 as next digit of the result. 
Result so far: 64574.8
If we take 64 away from 70, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 8:
When dividing 60 by 8, we get 7 with a remainder of 4.
Write down 7 as next digit of the result. 
Result so far: 64574.87
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.

Going ahead to step 9:
The number 8 fits into 40 5 times, leaving a remainder of 0.
Write down 5 as next digit of the result. 
Result so far: 64574.875
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:
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: 64574.875
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.

Step 11:
0 divided by 8 is 0 with a remainder of 0.
The next digit of our result is 0. 
Result so far: 64574.875
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.

In conclusion, the division gives 64574.875 with a balance of 0.0.