4225 divided by 90 
We're looking to find how many times 90 goes into 4225.

Step 1:
90 goes into 4 0 times with a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Take the next digit (2) from the dividend and append it to 4, then repeat: 42 / 90

On to step 2:
If we divide 42 by 90, we get 0 and a remainder of 42.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 42 after subtracting 0 from 42.
Take the next digit (2) from the dividend and append it to 42, then repeat: 422 / 90

Step 3:
If we divide 422 by 90, we get 4 and a remainder of 62.
Write down 4 as next digit of the result. 
Result so far: 4.0
If we take 360 away from 422, we end up with 62.
Include the next digit (5) from the dividend after 62, then repeat: 625 / 90

Going ahead to step 4:
If we divide 625 by 90, we get 6 and a remainder of 85.
Put 6 as the next digit of the answer. 
Result so far: 46.0
If we subtract 540 from 625, we get 85.
Since there are no more digits in the dividend, we add a zero to the remainder making it 850, and continue the process.

On to step 5:
The number 90 fits into 850 9 times, leaving a remainder of 40.
Record the quotient 9 as the next digit in the result. 
Result so far: 46.9
Subtract 810 from 850 to get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

On to step 6:
400 divided by 90 is 4 with a remainder of 40.
Write down 4 as next digit of the result. 
Result so far: 46.94
Deduct 360 from 400 and we're left with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Moving on to step 7:
When dividing 400 by 90, we get 4 with a remainder of 40.
Use 4 as the next digit of our solution. 
Result so far: 46.944
Subtracting 360 from 400 leaves us with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

After the division, we end up with 46.944 and a remainder of 0.004.