We look at the division of 598498 by 9 
Our goal is to divide 598498 by 9.

On to step 1:
9 can be fit into 5 0 times, resulting in a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Include the next digit (9) from the dividend after 5, then repeat: 59 / 9

Step 2:
9 goes into 59 6 times with a remainder of 5.
The next digit of our result is 6. 
Result so far: 6.0
Subtract 54 from 59 to get 5.
Include the next digit (8) from the dividend after 5, then repeat: 58 / 9

Advancing to step 3:
The number 9 fits into 58 6 times, leaving a remainder of 4.
The next digit of our result is 6. 
Result so far: 66.0
Subtract 54 from 58 to get 4.
Grab the next digit (4) from the dividend, add it to 4, then carry on: 44 / 9

Going ahead to step 4:
If we divide 44 by 9, we get 4 and a remainder of 8.
Record the quotient 4 as the next digit in the result. 
Result so far: 664.0
If we subtract 36 from 44, we get 8.
Grab the next digit (9) from the dividend, add it to 8, then carry on: 89 / 9

Advancing to step 5:
If we divide 89 by 9, we get 9 and a remainder of 8.
Put 9 as the next digit of the answer. 
Result so far: 6649.0
The remainder is 8 after subtracting 81 from 89.
Fetch the next digit (8) from the dividend, attach it to 8 and continue: 88 / 9

Step 6:
9 goes into 88 9 times with a remainder of 7.
The next digit of our result is 9. 
Result so far: 66499.0
Deduct 81 from 88 and we're left 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:
When dividing 70 by 9, we get 7 with a remainder of 7.
Use 7 as the next digit of our solution. 
Result so far: 66499.7
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.

Step 8:
70 divided by 9 is 7 with a remainder of 7.
Put 7 as the next digit of the answer. 
Result so far: 66499.77
Subtracting 63 from 70 leaves us 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.

After the division, we end up with 66499.77 and a remainder of 0.007.