376409 divided by 3 
The aim is to understand the frequency of 3 in 376409.

Let's proceed to step 1:
3 goes into 3 1 times with a remainder of 0.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we subtract 3 from 3, we get 0.
Include the next digit (7) from the dividend after 0, then repeat: 7 / 3

Advancing to step 2:
The number 3 fits into 7 2 times, leaving a remainder of 1.
Use 2 as the next digit of our solution. 
Result so far: 12.0
The remainder is 1 after subtracting 6 from 7.
Include the next digit (6) from the dividend after 1, then repeat: 16 / 3

Advancing to step 3:
16 divided by 3 is 5 with a remainder of 1.
The next digit of our result is 5. 
Result so far: 125.0
The remainder is 1 after subtracting 15 from 16.
Bring next digit (4) of the dividend behind the 1 and repeat the process: 14 / 3

On to step 4:
3 can be fit into 14 4 times, resulting in a remainder of 2.
Use 4 as the next digit of our solution. 
Result so far: 1254.0
If we take 12 away from 14, we end up with 2.
Take the next digit (0) from the dividend and append it to 2, then repeat: 20 / 3

Going ahead to step 5:
The number 3 fits into 20 6 times, leaving a remainder of 2.
Write down 6 as next digit of the result. 
Result so far: 12546.0
Deduct 18 from 20 and we're left with 2.
Fetch the next digit (9) from the dividend, attach it to 2 and continue: 29 / 3

Moving on to step 6:
If we divide 29 by 3, we get 9 and a remainder of 2.
Put 9 as the next digit of the answer. 
Result so far: 125469.0
The remainder is 2 after subtracting 27 from 29.
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 7:
3 can be fit into 20 6 times, resulting in a remainder of 2.
The next digit of our result is 6. 
Result so far: 125469.6
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.

Let's proceed to step 8:
The number 3 fits into 20 6 times, leaving a remainder of 2.
Use 6 as the next digit of our solution. 
Result so far: 125469.66
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.

After the division, we end up with 125469.66 and a remainder of 0.002.