We look at the division of 563098 by 90 
We want to figure out the number of times 563098 can be divided by 90.

On to step 1:
When dividing 5 by 90, we get 0 with 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.
Grab the next digit (6) from the dividend, add it to 5, then carry on: 56 / 90

Let's proceed to step 2:
When dividing 56 by 90, we get 0 with a remainder of 56.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 56 and we're left with 56.
Append the next digit (3) from the dividend to 56 and continue with: 563 / 90

Step 3:
When dividing 563 by 90, we get 6 with a remainder of 23.
Use 6 as the next digit of our solution. 
Result so far: 6.0
Subtracting 540 from 563 leaves us with 23.
Grab the next digit (0) from the dividend, add it to 23, then carry on: 230 / 90

Step 4:
230 divided by 90 is 2 with a remainder of 50.
Write down 2 as next digit of the result. 
Result so far: 62.0
If we subtract 180 from 230, we get 50.
Fetch the next digit (9) from the dividend, attach it to 50 and continue: 509 / 90

Let's proceed to step 5:
The number 90 fits into 509 5 times, leaving a remainder of 59.
Put 5 as the next digit of the answer. 
Result so far: 625.0
Deduct 450 from 509 and we're left with 59.
Take the next digit (8) from the dividend and append it to 59, then repeat: 598 / 90

Let's proceed to step 6:
90 goes into 598 6 times with a remainder of 58.
Put 6 as the next digit of the answer. 
Result so far: 6256.0
Subtracting 540 from 598 leaves us with 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Moving on to step 7:
90 goes into 580 6 times with a remainder of 40.
The next digit of our result is 6. 
Result so far: 6256.6
The remainder is 40 after subtracting 540 from 580.
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 number 4 becomes the next digit in our result. 
Result so far: 6256.64
If we subtract 360 from 400, we get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Step 9:
The number 90 fits into 400 4 times, leaving a remainder of 40.
Write down 4 as next digit of the result. 
Result so far: 6256.644
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.

After the division, we end up with 6256.644 and a remainder of 0.004.