We're dividing 105696 by 3 
The aim is to understand the frequency of 3 in 105696.

Step 1:
If we divide 1 by 3, we get 0 and a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Grab the next digit (0) from the dividend, add it to 1, then carry on: 10 / 3

Let's proceed to step 2:
If we divide 10 by 3, we get 3 and a remainder of 1.
Put 3 as the next digit of the answer. 
Result so far: 3.0
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

Going ahead to step 3:
When dividing 15 by 3, we get 5 with a remainder of 0.
Record the quotient 5 as the next digit in the result. 
Result so far: 35.0
If we take 15 away from 15, we end up with 0.
Take the next digit (6) from the dividend and append it to 0, then repeat: 6 / 3

On to step 4:
6 divided by 3 is 2 with a remainder of 0.
Write down 2 as next digit of the result. 
Result so far: 352.0
Subtract 6 from 6 to get 0.
Take the next digit (9) from the dividend and append it to 0, then repeat: 9 / 3

Advancing to step 5:
9 divided by 3 is 3 with a remainder of 0.
The number 3 becomes the next digit in our result. 
Result so far: 3523.0
If we subtract 9 from 9, we get 0.
Include the next digit (6) from the dividend after 0, then repeat: 6 / 3

Let's proceed to step 6:
3 can be fit into 6 2 times, resulting in a remainder of 0.
Record the quotient 2 as the next digit in the result. 
Result so far: 35232.0
Subtract 6 from 6 to 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.

On to step 7:
0 divided by 3 is 0 with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 35232.0
If we take 0 away from 0, we end up 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:
The number 3 fits into 0 0 times, leaving a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 35232.0
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The final result is 35232.0 with a remainder of 0.0.