We divide 343968 by 3
Let's see how many times 3 fits into 343968.

Step 1:
When dividing 3 by 3, we get 1 with a remainder of 0.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we take 3 away from 3, we end up with 0.
Append the next digit (4) from the dividend to 0 and continue with: 4 / 3

Going ahead to step 2:
If we divide 4 by 3, we get 1 and a remainder of 1.
Record the quotient 1 as the next digit in the result. 
Result so far: 11.0
Subtract 3 from 4 to get 1.
Include the next digit (3) from the dividend after 1, then repeat: 13 / 3

Moving on to step 3:
When dividing 13 by 3, we get 4 with a remainder of 1.
Put 4 as the next digit of the answer. 
Result so far: 114.0
Deduct 12 from 13 and we're left with 1.
Grab the next digit (9) from the dividend, add it to 1, then carry on: 19 / 3

Advancing to step 4:
3 can be fit into 19 6 times, resulting in a remainder of 1.
Put 6 as the next digit of the answer. 
Result so far: 1146.0
Subtract 18 from 19 to get 1.
Grab the next digit (6) from the dividend, add it to 1, then carry on: 16 / 3

Going ahead to step 5:
3 goes into 16 5 times with a remainder of 1.
Write down 5 as next digit of the result. 
Result so far: 11465.0
If we take 15 away from 16, we end up with 1.
Grab the next digit (8) from the dividend, add it to 1, then carry on: 18 / 3

Moving on to step 6:
The number 3 fits into 18 6 times, leaving a remainder of 0.
Write down 6 as next digit of the result. 
Result so far: 114656.0
If we take 18 away from 18, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Advancing to step 7:
0 divided by 3 is 0 with a remainder of 0.
The next digit of our result is 0. 
Result so far: 114656.0
If we take 0 away from 0, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Let's proceed to step 8:
When dividing 0 by 3, we get 0 with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 114656.0
Subtracting 0 from 0 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The final outcome is 114656.0, with a leftover of 0.0.