We look at the division of 6944 by 3 
The aim is to understand the frequency of 3 in 6944.

Going ahead to step 1:
6 divided by 3 is 2 with a remainder of 0.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
If we take 6 away from 6, we end up with 0.
Take the next digit (9) from the dividend and append it to 0, then repeat: 9 / 3

Advancing to step 2:
3 goes into 9 3 times with a remainder of 0.
Put 3 as the next digit of the answer. 
Result so far: 23.0
Deduct 9 from 9 and we're left with 0.
Take the next digit (4) from the dividend and append it to 0, then repeat: 4 / 3

Let's proceed to step 3:
If we divide 4 by 3, we get 1 and a remainder of 1.
Record the quotient 1 as the next digit in the result. 
Result so far: 231.0
If we take 3 away from 4, we end up with 1.
Fetch the next digit (4) from the dividend, attach it to 1 and continue: 14 / 3

Let's proceed to step 4:
3 goes into 14 4 times with a remainder of 2.
The next digit of our result is 4. 
Result so far: 2314.0
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.

On to step 5:
20 divided by 3 is 6 with a remainder of 2.
Write down 6 as next digit of the result. 
Result so far: 2314.6
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.

Moving on to step 6:
3 can be fit into 20 6 times, resulting in a remainder of 2.
Use 6 as the next digit of our solution. 
Result so far: 2314.66
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.

Our division results in 2314.66 with a remaining 0.002.