We divide 34028 by 3
We want to figure out the number of times 34028 can be divided by 3.

Step 1:
The number 3 fits into 3 1 times, leaving a remainder of 0.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtract 3 from 3 to get 0.
Take the next digit (4) from the dividend and append it to 0, then repeat: 4 / 3

On to step 2:
The number 3 fits into 4 1 times, leaving a remainder of 1.
Use 1 as the next digit of our solution. 
Result so far: 11.0
Deduct 3 from 4 and we're left with 1.
Include the next digit (0) from the dividend after 1, then repeat: 10 / 3

Going ahead to step 3:
If we divide 10 by 3, we get 3 and a remainder of 1.
The number 3 becomes the next digit in our result. 
Result so far: 113.0
If we subtract 9 from 10, we get 1.
Append the next digit (2) from the dividend to 1 and continue with: 12 / 3

Going ahead to step 4:
If we divide 12 by 3, we get 4 and a remainder of 0.
The next digit of our result is 4. 
Result so far: 1134.0
The remainder is 0 after subtracting 12 from 12.
Grab the next digit (8) from the dividend, add it to 0, then carry on: 8 / 3

Going ahead to step 5:
3 can be fit into 8 2 times, resulting in a remainder of 2.
Record the quotient 2 as the next digit in the result. 
Result so far: 11342.0
If we subtract 6 from 8, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 6:
When dividing 20 by 3, we get 6 with a remainder of 2.
Use 6 as the next digit of our solution. 
Result so far: 11342.6
The remainder is 2 after subtracting 18 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 7:
3 can be fit into 20 6 times, resulting in a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 11342.66
Subtract 18 from 20 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

The final outcome is 11342.66, with a leftover of 0.002.