Let's divide 344134 by 3
We want to divide 344134 by 3.

Advancing to step 1:
3 goes into 3 1 times with 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.
Grab the next digit (4) from the dividend, add it to 0, then carry on: 4 / 3

Let's proceed to step 2:
3 can be fit into 4 1 times, resulting in a remainder of 1.
Use 1 as the next digit of our solution. 
Result so far: 11.0
The remainder is 1 after subtracting 3 from 4.
Include the next digit (4) from the dividend after 1, then repeat: 14 / 3

Going ahead to step 3:
The number 3 fits into 14 4 times, leaving a remainder of 2.
Write down 4 as next digit of the result. 
Result so far: 114.0
The remainder is 2 after subtracting 12 from 14.
Bring next digit (1) of the dividend behind the 2 and repeat the process: 21 / 3

On to step 4:
If we divide 21 by 3, we get 7 and a remainder of 0.
Use 7 as the next digit of our solution. 
Result so far: 1147.0
If we subtract 21 from 21, we get 0.
Take the next digit (3) from the dividend and append it to 0, then repeat: 3 / 3

Moving on to step 5:
If we divide 3 by 3, we get 1 and a remainder of 0.
The number 1 becomes the next digit in our result. 
Result so far: 11471.0
The remainder is 0 after subtracting 3 from 3.
Take the next digit (4) from the dividend and append it to 0, then repeat: 4 / 3

On to step 6:
3 can be fit into 4 1 times, resulting in a remainder of 1.
The number 1 becomes the next digit in our result. 
Result so far: 114711.0
Subtracting 3 from 4 leaves us 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.

Advancing to step 7:
3 can be fit into 10 3 times, resulting in a remainder of 1.
The number 3 becomes the next digit in our result. 
Result so far: 114711.3
If we take 9 away from 10, we end up 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.

Moving on to step 8:
3 can be fit into 10 3 times, resulting in a remainder of 1.
The number 3 becomes the next digit in our result. 
Result so far: 114711.33
If we take 9 away from 10, we end up 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.

The final outcome is 114711.33, with a leftover of 0.001.