We divide 566778 by 90
We're looking to find how many times 90 goes into 566778.

Going ahead to step 1:
The number 90 fits into 5 0 times, leaving 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.
Append the next digit (6) from the dividend to 5 and continue with: 56 / 90

Moving on to step 2:
56 divided by 90 is 0 with a remainder of 56.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 56 leaves us with 56.
Take the next digit (6) from the dividend and append it to 56, then repeat: 566 / 90

Moving on to step 3:
When dividing 566 by 90, we get 6 with a remainder of 26.
Put 6 as the next digit of the answer. 
Result so far: 6.0
Deduct 540 from 566 and we're left with 26.
Fetch the next digit (7) from the dividend, attach it to 26 and continue: 267 / 90

Going ahead to step 4:
90 can be fit into 267 2 times, resulting in a remainder of 87.
Write down 2 as next digit of the result. 
Result so far: 62.0
Subtracting 180 from 267 leaves us with 87.
Include the next digit (7) from the dividend after 87, then repeat: 877 / 90

On to step 5:
877 divided by 90 is 9 with a remainder of 67.
The next digit of our result is 9. 
Result so far: 629.0
Subtract 810 from 877 to get 67.
Take the next digit (8) from the dividend and append it to 67, then repeat: 678 / 90

Moving on to step 6:
90 can be fit into 678 7 times, resulting in a remainder of 48.
Write down 7 as next digit of the result. 
Result so far: 6297.0
Subtract 630 from 678 to get 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Going ahead to step 7:
90 can be fit into 480 5 times, resulting in a remainder of 30.
Use 5 as the next digit of our solution. 
Result so far: 6297.5
Deduct 450 from 480 and we're left 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.

Moving on to step 8:
When dividing 300 by 90, we get 3 with a remainder of 30.
Write down 3 as next digit of the result. 
Result so far: 6297.53
Deduct 270 from 300 and we're left 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.

Let's proceed to step 9:
300 divided by 90 is 3 with a remainder of 30.
The number 3 becomes the next digit in our result. 
Result so far: 6297.533
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.

The quotient of the division is 6297.533, and the remainder is 0.003.