We're dividing 553398 by 18 
We want to figure out the number of times 553398 can be divided by 18.

Moving on to step 1:
When dividing 5 by 18, we get 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.
Bring next digit (5) of the dividend behind the 5 and repeat the process: 55 / 18

Moving on to step 2:
When dividing 55 by 18, we get 3 with a remainder of 1.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
If we subtract 54 from 55, we get 1.
Take the next digit (3) from the dividend and append it to 1, then repeat: 13 / 18

Going ahead to step 3:
The number 18 fits into 13 0 times, leaving a remainder of 13.
Record the quotient 0 as the next digit in the result. 
Result so far: 30.0
The remainder is 13 after subtracting 0 from 13.
Take the next digit (3) from the dividend and append it to 13, then repeat: 133 / 18

Step 4:
133 divided by 18 is 7 with a remainder of 7.
Put 7 as the next digit of the answer. 
Result so far: 307.0
Deduct 126 from 133 and we're left with 7.
Fetch the next digit (9) from the dividend, attach it to 7 and continue: 79 / 18

Going ahead to step 5:
If we divide 79 by 18, we get 4 and a remainder of 7.
Use 4 as the next digit of our solution. 
Result so far: 3074.0
Deduct 72 from 79 and we're left with 7.
Include the next digit (8) from the dividend after 7, then repeat: 78 / 18

Step 6:
The number 18 fits into 78 4 times, leaving a remainder of 6.
Use 4 as the next digit of our solution. 
Result so far: 30744.0
If we subtract 72 from 78, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

On to step 7:
If we divide 60 by 18, we get 3 and a remainder of 6.
Use 3 as the next digit of our solution. 
Result so far: 30744.3
Subtracting 54 from 60 leaves us 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:
18 can be fit into 60 3 times, resulting in a remainder of 6.
Write down 3 as next digit of the result. 
Result so far: 30744.33
Subtract 54 from 60 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

After the division, we end up with 30744.33 and a remainder of 0.006.