We're dividing 346678 by 3 
The aim is to understand the frequency of 3 in 346678.

Going ahead to step 1:
3 divided by 3 is 1 with a remainder of 0.
The next digit of our result is 1. 
Result so far: 1.0
Subtract 3 from 3 to get 0.
Grab the next digit (4) from the dividend, add it to 0, then carry on: 4 / 3

Advancing to step 2:
If we divide 4 by 3, we get 1 and a remainder of 1.
The number 1 becomes the next digit in our result. 
Result so far: 11.0
Deduct 3 from 4 and we're left with 1.
Fetch the next digit (6) from the dividend, attach it to 1 and continue: 16 / 3

On to step 3:
16 divided by 3 is 5 with a remainder of 1.
Put 5 as the next digit of the answer. 
Result so far: 115.0
The remainder is 1 after subtracting 15 from 16.
Append the next digit (6) from the dividend to 1 and continue with: 16 / 3

Advancing to step 4:
3 goes into 16 5 times with a remainder of 1.
Put 5 as the next digit of the answer. 
Result so far: 1155.0
If we take 15 away from 16, we end up with 1.
Bring next digit (7) of the dividend behind the 1 and repeat the process: 17 / 3

Moving on to step 5:
3 goes into 17 5 times with a remainder of 2.
The number 5 becomes the next digit in our result. 
Result so far: 11555.0
Subtracting 15 from 17 leaves us with 2.
Fetch the next digit (8) from the dividend, attach it to 2 and continue: 28 / 3

Moving on to step 6:
28 divided by 3 is 9 with a remainder of 1.
The number 9 becomes the next digit in our result. 
Result so far: 115559.0
Subtract 27 from 28 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.

Advancing to step 7:
The number 3 fits into 10 3 times, leaving a remainder of 1.
Record the quotient 3 as the next digit in the result. 
Result so far: 115559.3
If we subtract 9 from 10, we 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.

Step 8:
When dividing 10 by 3, we get 3 with a remainder of 1.
Record the quotient 3 as the next digit in the result. 
Result so far: 115559.33
If we take 9 away from 10, we end up 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.

Our division results in 115559.33 with a remaining 0.001.