We're dividing 339223 by 3 
We want to divide 339223 by 3.

On to step 1:
3 divided by 3 is 1 with a remainder of 0.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtracting 3 from 3 leaves us with 0.
Take the next digit (3) from the dividend and append it to 0, then repeat: 3 / 3

Step 2:
If we divide 3 by 3, we get 1 and a remainder of 0.
The next digit of our result is 1. 
Result so far: 11.0
The remainder is 0 after subtracting 3 from 3.
Grab the next digit (9) from the dividend, add it to 0, then carry on: 9 / 3

Advancing to step 3:
If we divide 9 by 3, we get 3 and a remainder of 0.
Put 3 as the next digit of the answer. 
Result so far: 113.0
Subtracting 9 from 9 leaves us with 0.
Fetch the next digit (2) from the dividend, attach it to 0 and continue: 2 / 3

On to step 4:
When dividing 2 by 3, we get 0 with a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 1130.0
If we subtract 0 from 2, we get 2.
Fetch the next digit (2) from the dividend, attach it to 2 and continue: 22 / 3

Moving on to step 5:
3 goes into 22 7 times with a remainder of 1.
Put 7 as the next digit of the answer. 
Result so far: 11307.0
If we subtract 21 from 22, we get 1.
Include the next digit (3) from the dividend after 1, then repeat: 13 / 3

On to step 6:
13 divided by 3 is 4 with a remainder of 1.
Use 4 as the next digit of our solution. 
Result so far: 113074.0
Deduct 12 from 13 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Going ahead to step 7:
When dividing 10 by 3, we get 3 with a remainder of 1.
Put 3 as the next digit of the answer. 
Result so far: 113074.3
If we subtract 9 from 10, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 8:
When dividing 10 by 3, we get 3 with a remainder of 1.
Put 3 as the next digit of the answer. 
Result so far: 113074.33
The remainder is 1 after subtracting 9 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

The quotient of the division is 113074.33, and the remainder is 0.001.