We're dividing 542253 by 90 
We're looking to find how many times 90 goes into 542253.

Step 1:
If we divide 5 by 90, we get 0 and a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Append the next digit (4) from the dividend to 5 and continue with: 54 / 90

Moving on to step 2:
54 divided by 90 is 0 with a remainder of 54.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 54 leaves us with 54.
Include the next digit (2) from the dividend after 54, then repeat: 542 / 90

Moving on to step 3:
If we divide 542 by 90, we get 6 and a remainder of 2.
The next digit of our result is 6. 
Result so far: 6.0
Deduct 540 from 542 and we're left with 2.
Bring next digit (2) of the dividend behind the 2 and repeat the process: 22 / 90

On to step 4:
22 divided by 90 is 0 with a remainder of 22.
The number 0 becomes the next digit in our result. 
Result so far: 60.0
Subtract 0 from 22 to get 22.
Include the next digit (5) from the dividend after 22, then repeat: 225 / 90

Going ahead to step 5:
If we divide 225 by 90, we get 2 and a remainder of 45.
Record the quotient 2 as the next digit in the result. 
Result so far: 602.0
The remainder is 45 after subtracting 180 from 225.
Append the next digit (3) from the dividend to 45 and continue with: 453 / 90

Moving on to step 6:
90 can be fit into 453 5 times, resulting in a remainder of 3.
The next digit of our result is 5. 
Result so far: 6025.0
If we take 450 away from 453, we end up with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Let's proceed to step 7:
90 goes into 30 0 times with a remainder of 30.
Write down 0 as next digit of the result. 
Result so far: 6025.0
Subtract 0 from 30 to get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Going ahead to step 8:
90 goes into 300 3 times with a remainder of 30.
Put 3 as the next digit of the answer. 
Result so far: 6025.03
Deduct 270 from 300 and we're left with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

On to step 9:
300 divided by 90 is 3 with a remainder of 30.
Use 3 as the next digit of our solution. 
Result so far: 6025.033
Deduct 270 from 300 and we're left with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Our division results in 6025.033 with a remaining 0.003.