We divide 135842 by 90
Let's see how many times 90 fits into 135842.

Let's proceed to step 1:
If we divide 1 by 90, we get 0 and a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Fetch the next digit (3) from the dividend, attach it to 1 and continue: 13 / 90

Advancing to step 2:
When dividing 13 by 90, we get 0 with a remainder of 13.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 13 leaves us with 13.
Append the next digit (5) from the dividend to 13 and continue with: 135 / 90

Moving on to step 3:
90 can be fit into 135 1 times, resulting in a remainder of 45.
The next digit of our result is 1. 
Result so far: 1.0
If we subtract 90 from 135, we get 45.
Grab the next digit (8) from the dividend, add it to 45, then carry on: 458 / 90

Moving on to step 4:
The number 90 fits into 458 5 times, leaving a remainder of 8.
Write down 5 as next digit of the result. 
Result so far: 15.0
If we take 450 away from 458, we end up with 8.
Take the next digit (4) from the dividend and append it to 8, then repeat: 84 / 90

Going ahead to step 5:
If we divide 84 by 90, we get 0 and a remainder of 84.
Write down 0 as next digit of the result. 
Result so far: 150.0
Subtracting 0 from 84 leaves us with 84.
Grab the next digit (2) from the dividend, add it to 84, then carry on: 842 / 90

Advancing to step 6:
842 divided by 90 is 9 with a remainder of 32.
Put 9 as the next digit of the answer. 
Result so far: 1509.0
Subtracting 810 from 842 leaves us with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Moving on to step 7:
The number 90 fits into 320 3 times, leaving a remainder of 50.
Put 3 as the next digit of the answer. 
Result so far: 1509.3
If we take 270 away from 320, 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.

On to step 8:
When dividing 500 by 90, we get 5 with a remainder of 50.
The next digit of our result is 5. 
Result so far: 1509.35
The remainder is 50 after subtracting 450 from 500.
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 9:
500 divided by 90 is 5 with a remainder of 50.
Write down 5 as next digit of the result. 
Result so far: 1509.355
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 final result is 1509.355 with a remainder of 0.005.