We're dividing 575866 by 90 
We want to divide 575866 by 90.

Moving on to step 1:
If we divide 5 by 90, we get 0 and a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Bring next digit (7) of the dividend behind the 5 and repeat the process: 57 / 90

Step 2:
The number 90 fits into 57 0 times, leaving a remainder of 57.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 57 and we're left with 57.
Take the next digit (5) from the dividend and append it to 57, then repeat: 575 / 90

Advancing to step 3:
If we divide 575 by 90, we get 6 and a remainder of 35.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
Subtract 540 from 575 to get 35.
Bring next digit (8) of the dividend behind the 35 and repeat the process: 358 / 90

Step 4:
The number 90 fits into 358 3 times, leaving a remainder of 88.
Put 3 as the next digit of the answer. 
Result so far: 63.0
Deduct 270 from 358 and we're left with 88.
Append the next digit (6) from the dividend to 88 and continue with: 886 / 90

Moving on to step 5:
The number 90 fits into 886 9 times, leaving a remainder of 76.
The number 9 becomes the next digit in our result. 
Result so far: 639.0
The remainder is 76 after subtracting 810 from 886.
Include the next digit (6) from the dividend after 76, then repeat: 766 / 90

Step 6:
The number 90 fits into 766 8 times, leaving a remainder of 46.
Use 8 as the next digit of our solution. 
Result so far: 6398.0
The remainder is 46 after subtracting 720 from 766.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Advancing to step 7:
If we divide 460 by 90, we get 5 and a remainder of 10.
The number 5 becomes the next digit in our result. 
Result so far: 6398.5
If we subtract 450 from 460, 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.

Step 8:
90 goes into 100 1 times with a remainder of 10.
The number 1 becomes the next digit in our result. 
Result so far: 6398.51
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:
When dividing 100 by 90, we get 1 with a remainder of 10.
Use 1 as the next digit of our solution. 
Result so far: 6398.511
If we take 90 away from 100, we end up 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.

Our division results in 6398.511 with a remaining 0.001.