We divide 506080 by 90
Let's see how many times 90 fits into 506080.

Going ahead to step 1:
5 divided by 90 is 0 with a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Bring next digit (0) of the dividend behind the 5 and repeat the process: 50 / 90

Going ahead to step 2:
When dividing 50 by 90, we get 0 with a remainder of 50.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 50, we end up with 50.
Take the next digit (6) from the dividend and append it to 50, then repeat: 506 / 90

Moving on to step 3:
If we divide 506 by 90, we get 5 and a remainder of 56.
Write down 5 as next digit of the result. 
Result so far: 5.0
Subtracting 450 from 506 leaves us with 56.
Fetch the next digit (0) from the dividend, attach it to 56 and continue: 560 / 90

Going ahead to step 4:
The number 90 fits into 560 6 times, leaving a remainder of 20.
Record the quotient 6 as the next digit in the result. 
Result so far: 56.0
If we take 540 away from 560, we end up with 20.
Grab the next digit (8) from the dividend, add it to 20, then carry on: 208 / 90

Step 5:
The number 90 fits into 208 2 times, leaving a remainder of 28.
Put 2 as the next digit of the answer. 
Result so far: 562.0
Deduct 180 from 208 and we're left with 28.
Take the next digit (0) from the dividend and append it to 28, then repeat: 280 / 90

On to step 6:
If we divide 280 by 90, we get 3 and a remainder of 10.
The next digit of our result is 3. 
Result so far: 5623.0
Deduct 270 from 280 and we're left 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.

On to step 7:
If we divide 100 by 90, we get 1 and a remainder of 10.
Use 1 as the next digit of our solution. 
Result so far: 5623.1
The remainder is 10 after subtracting 90 from 100.
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 can be fit into 100 1 times, resulting in a remainder of 10.
The next digit of our result is 1. 
Result so far: 5623.11
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.

The quotient of the division is 5623.11, and the remainder is 0.01.