408344 divided by 3 
The aim is to understand the frequency of 3 in 408344.

Step 1:
3 goes into 4 1 times with a remainder of 1.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Deduct 3 from 4 and we're left with 1.
Include the next digit (0) from the dividend after 1, then repeat: 10 / 3

On to step 2:
3 can be fit into 10 3 times, resulting in a remainder of 1.
The next digit of our result is 3. 
Result so far: 13.0
The remainder is 1 after subtracting 9 from 10.
Include the next digit (8) from the dividend after 1, then repeat: 18 / 3

Let's proceed to step 3:
When dividing 18 by 3, we get 6 with a remainder of 0.
Use 6 as the next digit of our solution. 
Result so far: 136.0
The remainder is 0 after subtracting 18 from 18.
Bring next digit (3) of the dividend behind the 0 and repeat the process: 3 / 3

Going ahead to step 4:
If we divide 3 by 3, we get 1 and a remainder of 0.
Write down 1 as next digit of the result. 
Result so far: 1361.0
Deduct 3 from 3 and we're left with 0.
Append the next digit (4) from the dividend to 0 and continue with: 4 / 3

Moving on to step 5:
When dividing 4 by 3, we get 1 with a remainder of 1.
Write down 1 as next digit of the result. 
Result so far: 13611.0
If we take 3 away from 4, we end up with 1.
Grab the next digit (4) from the dividend, add it to 1, then carry on: 14 / 3

Advancing to step 6:
14 divided by 3 is 4 with a remainder of 2.
Put 4 as the next digit of the answer. 
Result so far: 136114.0
Deduct 12 from 14 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.

Moving on to step 7:
When dividing 20 by 3, we get 6 with a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 136114.6
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.

Going ahead to step 8:
If we divide 20 by 3, we get 6 and a remainder of 2.
The next digit of our result is 6. 
Result so far: 136114.66
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 136114.66 with a balance of 0.002.