340145 divided by 3 
We want to figure out the number of times 340145 can be divided by 3.

Let's proceed to step 1:
3 can be fit into 3 1 times, resulting in a remainder of 0.
The next digit of our result is 1. 
Result so far: 1.0
Subtract 3 from 3 to get 0.
Fetch the next digit (4) from the dividend, attach it to 0 and continue: 4 / 3

Advancing to step 2:
4 divided by 3 is 1 with a remainder of 1.
The number 1 becomes the next digit in our result. 
Result so far: 11.0
If we subtract 3 from 4, we get 1.
Append the next digit (0) from the dividend to 1 and continue with: 10 / 3

Advancing to step 3:
10 divided by 3 is 3 with a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 113.0
The remainder is 1 after subtracting 9 from 10.
Bring next digit (1) of the dividend behind the 1 and repeat the process: 11 / 3

Let's proceed to step 4:
3 can be fit into 11 3 times, resulting in a remainder of 2.
The next digit of our result is 3. 
Result so far: 1133.0
Subtract 9 from 11 to get 2.
Include the next digit (4) from the dividend after 2, then repeat: 24 / 3

On to step 5:
If we divide 24 by 3, we get 8 and a remainder of 0.
The number 8 becomes the next digit in our result. 
Result so far: 11338.0
Deduct 24 from 24 and we're left with 0.
Bring next digit (5) of the dividend behind the 0 and repeat the process: 5 / 3

Going ahead to step 6:
3 can be fit into 5 1 times, resulting in a remainder of 2.
The number 1 becomes the next digit in our result. 
Result so far: 113381.0
Deduct 3 from 5 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 7:
20 divided by 3 is 6 with a remainder of 2.
Put 6 as the next digit of the answer. 
Result so far: 113381.6
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.

On to step 8:
3 goes into 20 6 times with a remainder of 2.
Write down 6 as next digit of the result. 
Result so far: 113381.66
If we subtract 18 from 20, 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.

In conclusion, the division gives 113381.66 with a balance of 0.002.