We look at the division of 554311 by 90 
Let's see how many times 90 fits into 554311.

Let's proceed to step 1:
The number 90 fits into 5 0 times, leaving a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Bring next digit (5) of the dividend behind the 5 and repeat the process: 55 / 90

Let's proceed to step 2:
90 goes into 55 0 times with a remainder of 55.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 55 leaves us with 55.
Fetch the next digit (4) from the dividend, attach it to 55 and continue: 554 / 90

Advancing to step 3:
The number 90 fits into 554 6 times, leaving a remainder of 14.
Put 6 as the next digit of the answer. 
Result so far: 6.0
The remainder is 14 after subtracting 540 from 554.
Bring next digit (3) of the dividend behind the 14 and repeat the process: 143 / 90

Step 4:
90 goes into 143 1 times with a remainder of 53.
Write down 1 as next digit of the result. 
Result so far: 61.0
Subtract 90 from 143 to get 53.
Bring next digit (1) of the dividend behind the 53 and repeat the process: 531 / 90

Moving on to step 5:
531 divided by 90 is 5 with a remainder of 81.
Record the quotient 5 as the next digit in the result. 
Result so far: 615.0
If we take 450 away from 531, we end up with 81.
Fetch the next digit (1) from the dividend, attach it to 81 and continue: 811 / 90

Step 6:
When dividing 811 by 90, we get 9 with a remainder of 1.
The number 9 becomes the next digit in our result. 
Result so far: 6159.0
If we subtract 810 from 811, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 7:
10 divided by 90 is 0 with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 6159.0
If we subtract 0 from 10, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 8:
90 goes into 100 1 times with a remainder of 10.
Put 1 as the next digit of the answer. 
Result so far: 6159.01
If we subtract 90 from 100, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 9:
The number 90 fits into 100 1 times, leaving a remainder of 10.
The number 1 becomes the next digit in our result. 
Result so far: 6159.011
Subtracting 90 from 100 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

The final result is 6159.011 with a remainder of 0.001.