We look at the division of 142410 by 90 
Our goal is to divide 142410 by 90.

On to step 1:
1 divided by 90 is 0 with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Bring next digit (4) of the dividend behind the 1 and repeat the process: 14 / 90

Advancing to step 2:
If we divide 14 by 90, we get 0 and a remainder of 14.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 14 after subtracting 0 from 14.
Include the next digit (2) from the dividend after 14, then repeat: 142 / 90

Going ahead to step 3:
90 goes into 142 1 times with a remainder of 52.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Subtract 90 from 142 to get 52.
Bring next digit (4) of the dividend behind the 52 and repeat the process: 524 / 90

Let's proceed to step 4:
90 goes into 524 5 times with a remainder of 74.
The number 5 becomes the next digit in our result. 
Result so far: 15.0
Deduct 450 from 524 and we're left with 74.
Grab the next digit (1) from the dividend, add it to 74, then carry on: 741 / 90

On to step 5:
If we divide 741 by 90, we get 8 and a remainder of 21.
The next digit of our result is 8. 
Result so far: 158.0
Deduct 720 from 741 and we're left with 21.
Include the next digit (0) from the dividend after 21, then repeat: 210 / 90

Advancing to step 6:
210 divided by 90 is 2 with a remainder of 30.
Put 2 as the next digit of the answer. 
Result so far: 1582.0
The remainder is 30 after subtracting 180 from 210.
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 7:
90 can be fit into 300 3 times, resulting in a remainder of 30.
Use 3 as the next digit of our solution. 
Result so far: 1582.3
Subtract 270 from 300 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:
300 divided by 90 is 3 with a remainder of 30.
Use 3 as the next digit of our solution. 
Result so far: 1582.33
If we subtract 270 from 300, we 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.

After the division, we end up with 1582.33 and a remainder of 0.03.