339680 ÷ 90 
Our goal is to divide 339680 by 90.

Let's proceed to step 1:
When dividing 3 by 90, we get 0 with a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Take the next digit (3) from the dividend and append it to 3, then repeat: 33 / 90

Moving on to step 2:
If we divide 33 by 90, we get 0 and a remainder of 33.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 33 leaves us with 33.
Fetch the next digit (9) from the dividend, attach it to 33 and continue: 339 / 90

Let's proceed to step 3:
If we divide 339 by 90, we get 3 and a remainder of 69.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
Subtracting 270 from 339 leaves us with 69.
Take the next digit (6) from the dividend and append it to 69, then repeat: 696 / 90

Step 4:
The number 90 fits into 696 7 times, leaving a remainder of 66.
Put 7 as the next digit of the answer. 
Result so far: 37.0
Deduct 630 from 696 and we're left with 66.
Include the next digit (8) from the dividend after 66, then repeat: 668 / 90

On to step 5:
If we divide 668 by 90, we get 7 and a remainder of 38.
Record the quotient 7 as the next digit in the result. 
Result so far: 377.0
Subtracting 630 from 668 leaves us with 38.
Include the next digit (0) from the dividend after 38, then repeat: 380 / 90

On to step 6:
380 divided by 90 is 4 with a remainder of 20.
The number 4 becomes the next digit in our result. 
Result so far: 3774.0
The remainder is 20 after subtracting 360 from 380.
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 7:
When dividing 200 by 90, we get 2 with a remainder of 20.
Put 2 as the next digit of the answer. 
Result so far: 3774.2
Subtract 180 from 200 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.

Moving on to step 8:
If we divide 200 by 90, we get 2 and a remainder of 20.
Use 2 as the next digit of our solution. 
Result so far: 3774.22
If we take 180 away from 200, we end up 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 3774.22 and a remainder of 0.02.