We look at the division of 339266 by 90 
Our goal is to divide 339266 by 90.

On to step 1:
When dividing 3 by 90, we get 0 with a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Take the next digit (3) from the dividend and append it to 3, then repeat: 33 / 90

Step 2:
The number 90 fits into 33 0 times, leaving a remainder of 33.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 33, we get 33.
Fetch the next digit (9) from the dividend, attach it to 33 and continue: 339 / 90

Let's proceed to step 3:
90 goes into 339 3 times with a remainder of 69.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
If we subtract 270 from 339, we get 69.
Take the next digit (2) from the dividend and append it to 69, then repeat: 692 / 90

Step 4:
90 can be fit into 692 7 times, resulting in a remainder of 62.
The number 7 becomes the next digit in our result. 
Result so far: 37.0
If we take 630 away from 692, we end up with 62.
Fetch the next digit (6) from the dividend, attach it to 62 and continue: 626 / 90

Step 5:
626 divided by 90 is 6 with a remainder of 86.
Use 6 as the next digit of our solution. 
Result so far: 376.0
If we take 540 away from 626, we end up with 86.
Append the next digit (6) from the dividend to 86 and continue with: 866 / 90

Step 6:
90 can be fit into 866 9 times, resulting in a remainder of 56.
Use 9 as the next digit of our solution. 
Result so far: 3769.0
Subtracting 810 from 866 leaves us with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Moving on to step 7:
90 can be fit into 560 6 times, resulting in a remainder of 20.
The number 6 becomes the next digit in our result. 
Result so far: 3769.6
Subtract 540 from 560 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

On to step 8:
90 can be fit into 200 2 times, resulting in a remainder of 20.
The next digit of our result is 2. 
Result so far: 3769.62
Subtracting 180 from 200 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Step 9:
90 can be fit into 200 2 times, resulting in a remainder of 20.
Put 2 as the next digit of the answer. 
Result so far: 3769.622
Subtracting 180 from 200 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

After the division, we end up with 3769.622 and a remainder of 0.002.