161101 ÷ 3 
The aim is to understand the frequency of 3 in 161101.

Let's proceed to step 1:
When dividing 1 by 3, we get 0 with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Fetch the next digit (6) from the dividend, attach it to 1 and continue: 16 / 3

Going ahead to step 2:
When dividing 16 by 3, we get 5 with a remainder of 1.
Put 5 as the next digit of the answer. 
Result so far: 5.0
Subtract 15 from 16 to get 1.
Include the next digit (1) from the dividend after 1, then repeat: 11 / 3

On to step 3:
The number 3 fits into 11 3 times, leaving a remainder of 2.
Record the quotient 3 as the next digit in the result. 
Result so far: 53.0
The remainder is 2 after subtracting 9 from 11.
Include the next digit (1) from the dividend after 2, then repeat: 21 / 3

Going ahead to step 4:
3 goes into 21 7 times with a remainder of 0.
The number 7 becomes the next digit in our result. 
Result so far: 537.0
The remainder is 0 after subtracting 21 from 21.
Bring next digit (0) of the dividend behind the 0 and repeat the process: 0 / 3

Let's proceed to step 5:
If we divide 0 by 3, we get 0 and a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 5370.0
Subtract 0 from 0 to get 0.
Include the next digit (1) from the dividend after 0, then repeat: 1 / 3

Going ahead to step 6:
The number 3 fits into 1 0 times, leaving a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 53700.0
Subtracting 0 from 1 leaves us 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 7:
The number 3 fits into 10 3 times, leaving a remainder of 1.
The number 3 becomes the next digit in our result. 
Result so far: 53700.3
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.

Going ahead to step 8:
If we divide 10 by 3, we get 3 and a remainder of 1.
The number 3 becomes the next digit in our result. 
Result so far: 53700.33
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.

The quotient of the division is 53700.33, and the remainder is 0.001.