We look at the division of 598567 by 9 
Our goal is to divide 598567 by 9.

Step 1:
5 divided by 9 is 0 with a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Take the next digit (9) from the dividend and append it to 5, then repeat: 59 / 9

Step 2:
When dividing 59 by 9, we get 6 with a remainder of 5.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
Subtract 54 from 59 to get 5.
Fetch the next digit (8) from the dividend, attach it to 5 and continue: 58 / 9

Let's proceed to step 3:
If we divide 58 by 9, we get 6 and a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 66.0
If we subtract 54 from 58, we get 4.
Grab the next digit (5) from the dividend, add it to 4, then carry on: 45 / 9

Let's proceed to step 4:
The number 9 fits into 45 5 times, leaving a remainder of 0.
Record the quotient 5 as the next digit in the result. 
Result so far: 665.0
The remainder is 0 after subtracting 45 from 45.
Fetch the next digit (6) from the dividend, attach it to 0 and continue: 6 / 9

On to step 5:
The number 9 fits into 6 0 times, leaving a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 6650.0
If we take 0 away from 6, we end up with 6.
Grab the next digit (7) from the dividend, add it to 6, then carry on: 67 / 9

On to step 6:
9 can be fit into 67 7 times, resulting in a remainder of 4.
Put 7 as the next digit of the answer. 
Result so far: 66507.0
Subtracting 63 from 67 leaves us 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 7:
When dividing 40 by 9, we get 4 with a remainder of 4.
Write down 4 as next digit of the result. 
Result so far: 66507.4
If we subtract 36 from 40, we 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:
If we divide 40 by 9, we get 4 and a remainder of 4.
Put 4 as the next digit of the answer. 
Result so far: 66507.44
Deduct 36 from 40 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.

After the division, we end up with 66507.44 and a remainder of 0.004.