We look at the division of 522559 by 90 
Our goal is to divide 522559 by 90.

Step 1:
The number 90 fits into 5 0 times, leaving 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.
Bring next digit (2) of the dividend behind the 5 and repeat the process: 52 / 90

Let's proceed to step 2:
90 can be fit into 52 0 times, resulting in a remainder of 52.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 52, we end up with 52.
Append the next digit (2) from the dividend to 52 and continue with: 522 / 90

Let's proceed to step 3:
90 goes into 522 5 times with a remainder of 72.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
Deduct 450 from 522 and we're left with 72.
Fetch the next digit (5) from the dividend, attach it to 72 and continue: 725 / 90

Going ahead to step 4:
90 can be fit into 725 8 times, resulting in a remainder of 5.
The number 8 becomes the next digit in our result. 
Result so far: 58.0
Subtracting 720 from 725 leaves us with 5.
Append the next digit (5) from the dividend to 5 and continue with: 55 / 90

Advancing to step 5:
If we divide 55 by 90, we get 0 and a remainder of 55.
Put 0 as the next digit of the answer. 
Result so far: 580.0
Deduct 0 from 55 and we're left with 55.
Take the next digit (9) from the dividend and append it to 55, then repeat: 559 / 90

Step 6:
The number 90 fits into 559 6 times, leaving a remainder of 19.
Record the quotient 6 as the next digit in the result. 
Result so far: 5806.0
If we subtract 540 from 559, 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:
If we divide 190 by 90, we get 2 and a remainder of 10.
Write down 2 as next digit of the result. 
Result so far: 5806.2
If we take 180 away from 190, 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.

Going ahead to step 8:
90 goes into 100 1 times with a remainder of 10.
The next digit of our result is 1. 
Result so far: 5806.21
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.

Let's proceed 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: 5806.211
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.

The quotient of the division is 5806.211, and the remainder is 0.001.