101066 ÷ 2 
The aim is to understand the frequency of 2 in 101066.

Step 1:
2 goes into 1 0 times with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
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 / 2

Let's proceed to step 2:
The number 2 fits into 10 5 times, leaving a remainder of 0.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
Deduct 10 from 10 and we're left with 0.
Grab the next digit (1) from the dividend, add it to 0, then carry on: 1 / 2

Advancing to step 3:
1 divided by 2 is 0 with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 50.0
Subtracting 0 from 1 leaves us with 1.
Include the next digit (0) from the dividend after 1, then repeat: 10 / 2

Going ahead to step 4:
The number 2 fits into 10 5 times, leaving a remainder of 0.
Record the quotient 5 as the next digit in the result. 
Result so far: 505.0
Subtract 10 from 10 to get 0.
Append the next digit (6) from the dividend to 0 and continue with: 6 / 2

Advancing to step 5:
If we divide 6 by 2, we get 3 and a remainder of 0.
The number 3 becomes the next digit in our result. 
Result so far: 5053.0
Subtracting 6 from 6 leaves us with 0.
Include the next digit (6) from the dividend after 0, then repeat: 6 / 2

Advancing to step 6:
The number 2 fits into 6 3 times, leaving a remainder of 0.
Record the quotient 3 as the next digit in the result. 
Result so far: 50533.0
If we subtract 6 from 6, 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.

Step 7:
When dividing 0 by 2, we get 0 with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 50533.0
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.

Moving on to step 8:
The number 2 fits into 0 0 times, leaving a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 50533.0
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.

The quotient of the division is 50533.0, and the remainder is 0.0.