345341 divided by 3 
We want to divide 345341 by 3.

Going ahead to step 1:
3 divided by 3 is 1 with a remainder of 0.
The next digit of our result is 1. 
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

Let's proceed to step 2:
The number 3 fits into 4 1 times, leaving a remainder of 1.
The next digit of our result is 1. 
Result so far: 11.0
Deduct 3 from 4 and we're left with 1.
Include the next digit (5) from the dividend after 1, then repeat: 15 / 3

Going ahead to step 3:
15 divided by 3 is 5 with a remainder of 0.
The next digit of our result is 5. 
Result so far: 115.0
Subtract 15 from 15 to get 0.
Fetch the next digit (3) from the dividend, attach it to 0 and continue: 3 / 3

Advancing to step 4:
3 divided by 3 is 1 with a remainder of 0.
The number 1 becomes the next digit in our result. 
Result so far: 1151.0
If we subtract 3 from 3, we get 0.
Fetch the next digit (4) from the dividend, attach it to 0 and continue: 4 / 3

Let's proceed to step 5:
3 goes into 4 1 times with a remainder of 1.
The next digit of our result is 1. 
Result so far: 11511.0
If we take 3 away from 4, we end up with 1.
Grab the next digit (1) from the dividend, add it to 1, then carry on: 11 / 3

Moving on to step 6:
If we divide 11 by 3, we get 3 and a remainder of 2.
Write down 3 as next digit of the result. 
Result so far: 115113.0
Subtracting 9 from 11 leaves us 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.

Going ahead to step 7:
20 divided by 3 is 6 with a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 115113.6
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.

Advancing to step 8:
When dividing 20 by 3, we get 6 with a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 115113.66
Deduct 18 from 20 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.

In conclusion, the division gives 115113.66 with a balance of 0.002.