We look at the division of 553179 by 90 
Our goal is to divide 553179 by 90.

Going ahead to step 1:
If we divide 5 by 90, we get 0 and 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 / 90

Step 2:
90 can be fit into 55 0 times, resulting in a remainder of 55.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 55, we get 55.
Fetch the next digit (3) from the dividend, attach it to 55 and continue: 553 / 90

Step 3:
When dividing 553 by 90, we get 6 with a remainder of 13.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
Subtracting 540 from 553 leaves us with 13.
Append the next digit (1) from the dividend to 13 and continue with: 131 / 90

Advancing to step 4:
131 divided by 90 is 1 with a remainder of 41.
Record the quotient 1 as the next digit in the result. 
Result so far: 61.0
The remainder is 41 after subtracting 90 from 131.
Include the next digit (7) from the dividend after 41, then repeat: 417 / 90

Step 5:
The number 90 fits into 417 4 times, leaving a remainder of 57.
Write down 4 as next digit of the result. 
Result so far: 614.0
If we take 360 away from 417, we end up with 57.
Include the next digit (9) from the dividend after 57, then repeat: 579 / 90

Going ahead to step 6:
When dividing 579 by 90, we get 6 with a remainder of 39.
Put 6 as the next digit of the answer. 
Result so far: 6146.0
Subtracting 540 from 579 leaves us with 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Let's proceed to step 7:
90 goes into 390 4 times with a remainder of 30.
Use 4 as the next digit of our solution. 
Result so far: 6146.4
If we take 360 away from 390, we end up with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Step 8:
300 divided by 90 is 3 with a remainder of 30.
The next digit of our result is 3. 
Result so far: 6146.43
If we take 270 away from 300, we end up with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Going ahead to step 9:
If we divide 300 by 90, we get 3 and a remainder of 30.
Write down 3 as next digit of the result. 
Result so far: 6146.433
If we subtract 270 from 300, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Our division results in 6146.433 with a remaining 0.003.