34316 ÷ 3 
We're looking to find how many times 3 goes into 34316.

Let's proceed to step 1:
3 can be fit into 3 1 times, resulting in a remainder of 0.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Deduct 3 from 3 and we're left with 0.
Fetch the next digit (4) from the dividend, attach it to 0 and continue: 4 / 3

Let's proceed to step 2:
4 divided by 3 is 1 with a remainder of 1.
Put 1 as the next digit of the answer. 
Result so far: 11.0
Deduct 3 from 4 and we're left with 1.
Append the next digit (3) from the dividend to 1 and continue with: 13 / 3

Step 3:
3 goes into 13 4 times with a remainder of 1.
The number 4 becomes the next digit in our result. 
Result so far: 114.0
Subtracting 12 from 13 leaves us with 1.
Fetch the next digit (1) from the dividend, attach it to 1 and continue: 11 / 3

Let's proceed to step 4:
If we divide 11 by 3, we get 3 and a remainder of 2.
Put 3 as the next digit of the answer. 
Result so far: 1143.0
If we take 9 away from 11, we end up with 2.
Bring next digit (6) of the dividend behind the 2 and repeat the process: 26 / 3

On to step 5:
The number 3 fits into 26 8 times, leaving a remainder of 2.
The number 8 becomes the next digit in our result. 
Result so far: 11438.0
The remainder is 2 after subtracting 24 from 26.
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 6:
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: 11438.6
If we take 18 away from 20, we end up 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.

Advancing to step 7:
20 divided by 3 is 6 with a remainder of 2.
The next digit of our result is 6. 
Result so far: 11438.66
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.

Our division results in 11438.66 with a remaining 0.002.