559498 divided by 90 
Our goal is to divide 559498 by 90.

Going ahead to step 1:
90 goes into 5 0 times with a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Bring next digit (5) of the dividend behind the 5 and repeat the process: 55 / 90

Going ahead to step 2:
The number 90 fits into 55 0 times, leaving a remainder of 55.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 55 to get 55.
Include the next digit (9) from the dividend after 55, then repeat: 559 / 90

Moving on to step 3:
90 can be fit into 559 6 times, resulting in a remainder of 19.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
Subtracting 540 from 559 leaves us with 19.
Take the next digit (4) from the dividend and append it to 19, then repeat: 194 / 90

Let's proceed to step 4:
90 can be fit into 194 2 times, resulting in a remainder of 14.
The number 2 becomes the next digit in our result. 
Result so far: 62.0
Subtracting 180 from 194 leaves us with 14.
Bring next digit (9) of the dividend behind the 14 and repeat the process: 149 / 90

Let's proceed to step 5:
The number 90 fits into 149 1 times, leaving a remainder of 59.
The next digit of our result is 1. 
Result so far: 621.0
If we subtract 90 from 149, we get 59.
Append the next digit (8) from the dividend to 59 and continue with: 598 / 90

Let's proceed to step 6:
If we divide 598 by 90, we get 6 and a remainder of 58.
Write down 6 as next digit of the result. 
Result so far: 6216.0
If we subtract 540 from 598, we get 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Let's proceed to step 7:
If we divide 580 by 90, we get 6 and a remainder of 40.
The next digit of our result is 6. 
Result so far: 6216.6
Subtracting 540 from 580 leaves us with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Let's proceed to step 8:
If we divide 400 by 90, we get 4 and a remainder of 40.
The next digit of our result is 4. 
Result so far: 6216.64
Subtracting 360 from 400 leaves us with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Moving on to step 9:
90 goes into 400 4 times with a remainder of 40.
Use 4 as the next digit of our solution. 
Result so far: 6216.644
The remainder is 40 after subtracting 360 from 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

The quotient of the division is 6216.644, and the remainder is 0.004.