We're dividing 343000 by 3 
The aim is to understand the frequency of 3 in 343000.

Moving on to step 1:
When dividing 3 by 3, we get 1 with a remainder of 0.
Write down 1 as next digit of the result. 
Result so far: 1.0
Deduct 3 from 3 and we're left with 0.
Include the next digit (4) from the dividend after 0, then repeat: 4 / 3

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 take 3 away from 4, we end up with 1.
Bring next digit (3) of the dividend behind the 1 and repeat the process: 13 / 3

Step 3:
3 can be fit into 13 4 times, resulting in a remainder of 1.
Record the quotient 4 as the next digit in the result. 
Result so far: 114.0
Subtracting 12 from 13 leaves us with 1.
Append the next digit (0) from the dividend to 1 and continue with: 10 / 3

Going ahead to step 4:
When dividing 10 by 3, we get 3 with a remainder of 1.
The number 3 becomes the next digit in our result. 
Result so far: 1143.0
Subtract 9 from 10 to get 1.
Fetch the next digit (0) from the dividend, attach it to 1 and continue: 10 / 3

Advancing to step 5:
If we divide 10 by 3, we get 3 and a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 11433.0
If we take 9 away from 10, we end up with 1.
Bring next digit (0) of the dividend behind the 1 and repeat the process: 10 / 3

Advancing to step 6:
When dividing 10 by 3, we get 3 with a remainder of 1.
Put 3 as the next digit of the answer. 
Result so far: 114333.0
Deduct 9 from 10 and we're left 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 7:
3 can be fit into 10 3 times, resulting in a remainder of 1.
Record the quotient 3 as the next digit in the result. 
Result so far: 114333.3
Subtracting 9 from 10 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.

Step 8:
If we divide 10 by 3, we get 3 and a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 114333.33
Subtract 9 from 10 to get 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 quotient of the division is 114333.33, and the remainder is 0.001.