We divide 343070 by 3
The aim is to understand the frequency of 3 in 343070.

Going ahead to step 1:
3 can be fit into 3 1 times, resulting in a remainder of 0.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtracting 3 from 3 leaves us with 0.
Fetch the next digit (4) from the dividend, attach it to 0 and continue: 4 / 3

On to step 2:
If we divide 4 by 3, we get 1 and a remainder of 1.
Put 1 as the next digit of the answer. 
Result so far: 11.0
If we subtract 3 from 4, we get 1.
Fetch the next digit (3) from the dividend, attach it to 1 and continue: 13 / 3

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
If we take 12 away from 13, we end up with 1.
Grab the next digit (0) from the dividend, add it to 1, then carry on: 10 / 3

Advancing to step 4:
If we divide 10 by 3, we get 3 and a remainder of 1.
The number 3 becomes the next digit in our result. 
Result so far: 1143.0
Deduct 9 from 10 and we're left with 1.
Append the next digit (7) from the dividend to 1 and continue with: 17 / 3

Going ahead to step 5:
If we divide 17 by 3, we get 5 and a remainder of 2.
Record the quotient 5 as the next digit in the result. 
Result so far: 11435.0
Subtracting 15 from 17 leaves us with 2.
Bring next digit (0) of the dividend behind the 2 and repeat the process: 20 / 3

Let's proceed 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: 114356.0
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.

Let's proceed to step 7:
3 goes into 20 6 times with a remainder of 2.
Put 6 as the next digit of the answer. 
Result so far: 114356.6
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.

Step 8:
When dividing 20 by 3, we get 6 with a remainder of 2.
Use 6 as the next digit of our solution. 
Result so far: 114356.66
Subtracting 18 from 20 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.

The final outcome is 114356.66, with a leftover of 0.002.