We look at the division of 559663 by 9 
Let's see how many times 9 fits into 559663.

On to step 1:
9 goes into 5 0 times with a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Take the next digit (5) from the dividend and append it to 5, then repeat: 55 / 9

On to step 2:
The number 9 fits into 55 6 times, leaving a remainder of 1.
Write down 6 as next digit of the result. 
Result so far: 6.0
Subtracting 54 from 55 leaves us with 1.
Include the next digit (9) from the dividend after 1, then repeat: 19 / 9

Moving on to step 3:
The number 9 fits into 19 2 times, leaving a remainder of 1.
The number 2 becomes the next digit in our result. 
Result so far: 62.0
Subtracting 18 from 19 leaves us with 1.
Fetch the next digit (6) from the dividend, attach it to 1 and continue: 16 / 9

Let's proceed to step 4:
When dividing 16 by 9, we get 1 with a remainder of 7.
Record the quotient 1 as the next digit in the result. 
Result so far: 621.0
If we take 9 away from 16, we end up with 7.
Take the next digit (6) from the dividend and append it to 7, then repeat: 76 / 9

Step 5:
76 divided by 9 is 8 with a remainder of 4.
Use 8 as the next digit of our solution. 
Result so far: 6218.0
If we take 72 away from 76, we end up with 4.
Bring next digit (3) of the dividend behind the 4 and repeat the process: 43 / 9

On to step 6:
9 goes into 43 4 times with a remainder of 7.
Record the quotient 4 as the next digit in the result. 
Result so far: 62184.0
Subtract 36 from 43 to get 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:
When dividing 70 by 9, we get 7 with a remainder of 7.
Put 7 as the next digit of the answer. 
Result so far: 62184.7
The remainder is 7 after subtracting 63 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

On to step 8:
9 can be fit into 70 7 times, resulting in a remainder of 7.
The next digit of our result is 7. 
Result so far: 62184.77
If we take 63 away from 70, 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.

Our division results in 62184.77 with a remaining 0.007.