We divide 517879 by 90
We're looking to find how many times 90 goes into 517879.

Step 1:
90 goes into 5 0 times with a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Include the next digit (1) from the dividend after 5, then repeat: 51 / 90

Let's proceed to step 2:
The number 90 fits into 51 0 times, leaving a remainder of 51.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 51, we get 51.
Fetch the next digit (7) from the dividend, attach it to 51 and continue: 517 / 90

Going ahead to step 3:
517 divided by 90 is 5 with a remainder of 67.
The next digit of our result is 5. 
Result so far: 5.0
Subtracting 450 from 517 leaves us with 67.
Take the next digit (8) from the dividend and append it to 67, then repeat: 678 / 90

Moving on to step 4:
The number 90 fits into 678 7 times, leaving a remainder of 48.
The number 7 becomes the next digit in our result. 
Result so far: 57.0
Subtracting 630 from 678 leaves us with 48.
Grab the next digit (7) from the dividend, add it to 48, then carry on: 487 / 90

On to step 5:
90 goes into 487 5 times with a remainder of 37.
Record the quotient 5 as the next digit in the result. 
Result so far: 575.0
Subtract 450 from 487 to get 37.
Append the next digit (9) from the dividend to 37 and continue with: 379 / 90

Advancing to step 6:
379 divided by 90 is 4 with a remainder of 19.
Put 4 as the next digit of the answer. 
Result so far: 5754.0
If we subtract 360 from 379, we get 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

On to step 7:
190 divided by 90 is 2 with a remainder of 10.
Write down 2 as next digit of the result. 
Result so far: 5754.2
Subtracting 180 from 190 leaves us 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.

Let's proceed to step 8:
90 can be fit into 100 1 times, resulting in a remainder of 10.
Use 1 as the next digit of our solution. 
Result so far: 5754.21
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.

Going ahead to step 9:
90 goes into 100 1 times with a remainder of 10.
Record the quotient 1 as the next digit in the result. 
Result so far: 5754.211
Subtracting 90 from 100 leaves us 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.

After the division, we end up with 5754.211 and a remainder of 0.001.