We look at the division of 5225 by 90 
We want to divide 5225 by 90.

On to step 1:
If we divide 5 by 90, we get 0 and a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Fetch the next digit (2) from the dividend, attach it to 5 and continue: 52 / 90

Advancing to step 2:
90 goes into 52 0 times with a remainder of 52.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 52, we get 52.
Grab the next digit (2) from the dividend, add it to 52, then carry on: 522 / 90

On to step 3:
90 can be fit into 522 5 times, resulting in a remainder of 72.
The next digit of our result is 5. 
Result so far: 5.0
Subtract 450 from 522 to get 72.
Include the next digit (5) from the dividend after 72, then repeat: 725 / 90

Moving on to step 4:
If we divide 725 by 90, we get 8 and a remainder of 5.
The next digit of our result is 8. 
Result so far: 58.0
Subtracting 720 from 725 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 5:
90 can be fit into 50 0 times, resulting in a remainder of 50.
The next digit of our result is 0. 
Result so far: 58.0
If we subtract 0 from 50, we get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Going ahead to step 6:
When dividing 500 by 90, we get 5 with a remainder of 50.
Write down 5 as next digit of the result. 
Result so far: 58.05
Subtract 450 from 500 to get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Going ahead to step 7:
90 goes into 500 5 times with a remainder of 50.
Write down 5 as next digit of the result. 
Result so far: 58.055
If we take 450 away from 500, we end up with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

The quotient of the division is 58.055, and the remainder is 0.005.