We divide 553062 by 90
Let's see how many times 90 fits into 553062.

On to step 1:
5 divided by 90 is 0 with a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Fetch the next digit (5) from the dividend, attach it to 5 and continue: 55 / 90

Moving on to step 2:
55 divided by 90 is 0 with a remainder of 55.
Record the quotient 0 as the next digit in the 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

On to step 3:
90 can be fit into 553 6 times, resulting in a remainder of 13.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
Deduct 540 from 553 and we're left with 13.
Take the next digit (0) from the dividend and append it to 13, then repeat: 130 / 90

Let's proceed to step 4:
The number 90 fits into 130 1 times, leaving a remainder of 40.
The number 1 becomes the next digit in our result. 
Result so far: 61.0
Deduct 90 from 130 and we're left with 40.
Take the next digit (6) from the dividend and append it to 40, then repeat: 406 / 90

Advancing to step 5:
90 can be fit into 406 4 times, resulting in a remainder of 46.
Put 4 as the next digit of the answer. 
Result so far: 614.0
The remainder is 46 after subtracting 360 from 406.
Append the next digit (2) from the dividend to 46 and continue with: 462 / 90

Going ahead to step 6:
462 divided by 90 is 5 with a remainder of 12.
Write down 5 as next digit of the result. 
Result so far: 6145.0
Subtract 450 from 462 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

On to step 7:
90 can be fit into 120 1 times, resulting in a remainder of 30.
Record the quotient 1 as the next digit in the result. 
Result so far: 6145.1
If we subtract 90 from 120, 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.

Step 8:
90 can be fit into 300 3 times, resulting in a remainder of 30.
Write down 3 as next digit of the result. 
Result so far: 6145.13
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.

On to step 9:
If we divide 300 by 90, we get 3 and a remainder of 30.
Record the quotient 3 as the next digit in the result. 
Result so far: 6145.133
Subtract 270 from 300 to 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.

After the division, we end up with 6145.133 and a remainder of 0.003.