We look at the division of 338342 by 90 
We want to divide 338342 by 90.

Advancing to step 1:
When dividing 3 by 90, we get 0 with a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Include the next digit (3) from the dividend after 3, then repeat: 33 / 90

Moving on to step 2:
90 goes into 33 0 times with a remainder of 33.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 33, we get 33.
Take the next digit (8) from the dividend and append it to 33, then repeat: 338 / 90

Advancing to step 3:
If we divide 338 by 90, we get 3 and a remainder of 68.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
Subtract 270 from 338 to get 68.
Include the next digit (3) from the dividend after 68, then repeat: 683 / 90

Moving on to step 4:
90 goes into 683 7 times with a remainder of 53.
Put 7 as the next digit of the answer. 
Result so far: 37.0
If we take 630 away from 683, we end up with 53.
Bring next digit (4) of the dividend behind the 53 and repeat the process: 534 / 90

Let's proceed to step 5:
The number 90 fits into 534 5 times, leaving a remainder of 84.
Use 5 as the next digit of our solution. 
Result so far: 375.0
Subtract 450 from 534 to get 84.
Fetch the next digit (2) from the dividend, attach it to 84 and continue: 842 / 90

Let's proceed to step 6:
The number 90 fits into 842 9 times, leaving a remainder of 32.
Record the quotient 9 as the next digit in the result. 
Result so far: 3759.0
The remainder is 32 after subtracting 810 from 842.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

On to step 7:
90 can be fit into 320 3 times, resulting in a remainder of 50.
Write down 3 as next digit of the result. 
Result so far: 3759.3
The remainder is 50 after subtracting 270 from 320.
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 8:
If we divide 500 by 90, we get 5 and a remainder of 50.
The number 5 becomes the next digit in our result. 
Result so far: 3759.35
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.

On to step 9:
If we divide 500 by 90, we get 5 and a remainder of 50.
Record the quotient 5 as the next digit in the result. 
Result so far: 3759.355
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.

After the division, we end up with 3759.355 and a remainder of 0.005.