We're dividing 353584 by 3 
The aim is to understand the frequency of 3 in 353584.

Going ahead to step 1:
3 goes into 3 1 times with a remainder of 0.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we take 3 away from 3, we end up with 0.
Append the next digit (5) from the dividend to 0 and continue with: 5 / 3

Moving on to step 2:
3 can be fit into 5 1 times, resulting in a remainder of 2.
The number 1 becomes the next digit in our result. 
Result so far: 11.0
Subtracting 3 from 5 leaves us with 2.
Grab the next digit (3) from the dividend, add it to 2, then carry on: 23 / 3

Let's proceed to step 3:
23 divided by 3 is 7 with a remainder of 2.
Record the quotient 7 as the next digit in the result. 
Result so far: 117.0
If we take 21 away from 23, we end up with 2.
Bring next digit (5) of the dividend behind the 2 and repeat the process: 25 / 3

Moving on to step 4:
If we divide 25 by 3, we get 8 and a remainder of 1.
Write down 8 as next digit of the result. 
Result so far: 1178.0
If we take 24 away from 25, we end up with 1.
Fetch the next digit (8) from the dividend, attach it to 1 and continue: 18 / 3

Advancing to step 5:
The number 3 fits into 18 6 times, leaving a remainder of 0.
Write down 6 as next digit of the result. 
Result so far: 11786.0
The remainder is 0 after subtracting 18 from 18.
Include the next digit (4) from the dividend after 0, then repeat: 4 / 3

Advancing to step 6:
4 divided by 3 is 1 with a remainder of 1.
Put 1 as the next digit of the answer. 
Result so far: 117861.0
Subtract 3 from 4 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.

Let's proceed to step 7:
3 can be fit into 10 3 times, resulting in a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 117861.3
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.

Going ahead to step 8:
10 divided by 3 is 3 with a remainder of 1.
Record the quotient 3 as the next digit in the result. 
Result so far: 117861.33
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.

Our division results in 117861.33 with a remaining 0.001.