We look at the division of 100053 by 3 
The aim is to understand the frequency of 3 in 100053.

Advancing to step 1:
1 divided by 3 is 0 with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Include the next digit (0) from the dividend after 1, then repeat: 10 / 3

Let's proceed to step 2:
The number 3 fits into 10 3 times, leaving a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 3.0
If we take 9 away from 10, we end up with 1.
Include the next digit (0) from the dividend after 1, then repeat: 10 / 3

Advancing to step 3:
When dividing 10 by 3, we get 3 with a remainder of 1.
The next digit of our result is 3. 
Result so far: 33.0
Subtracting 9 from 10 leaves us with 1.
Fetch the next digit (0) from the dividend, attach it to 1 and continue: 10 / 3

Step 4:
The number 3 fits into 10 3 times, leaving a remainder of 1.
Put 3 as the next digit of the answer. 
Result so far: 333.0
Deduct 9 from 10 and we're left with 1.
Append the next digit (5) from the dividend to 1 and continue with: 15 / 3

Step 5:
15 divided by 3 is 5 with a remainder of 0.
Write down 5 as next digit of the result. 
Result so far: 3335.0
If we subtract 15 from 15, we get 0.
Bring next digit (3) of the dividend behind the 0 and repeat the process: 3 / 3

Advancing to step 6:
If we divide 3 by 3, we get 1 and a remainder of 0.
The next digit of our result is 1. 
Result so far: 33351.0
Deduct 3 from 3 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Moving on to step 7:
If we divide 0 by 3, we get 0 and a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 33351.0
Subtracting 0 from 0 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Advancing to step 8:
3 goes into 0 0 times with a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 33351.0
If we subtract 0 from 0, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Our division results in 33351.0 with a remaining 0.0.