421113 ÷ 2 
The aim is to understand the frequency of 2 in 421113.

Let's proceed to step 1:
When dividing 4 by 2, we get 2 with a remainder of 0.
The next digit of our result is 2. 
Result so far: 2.0
Deduct 4 from 4 and we're left with 0.
Include the next digit (2) from the dividend after 0, then repeat: 2 / 2

Let's proceed to step 2:
When dividing 2 by 2, we get 1 with a remainder of 0.
The next digit of our result is 1. 
Result so far: 21.0
Deduct 2 from 2 and we're left with 0.
Grab the next digit (1) from the dividend, add it to 0, then carry on: 1 / 2

Let's proceed to step 3:
When dividing 1 by 2, we get 0 with a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 210.0
Subtract 0 from 1 to get 1.
Include the next digit (1) from the dividend after 1, then repeat: 11 / 2

Moving on to step 4:
If we divide 11 by 2, we get 5 and a remainder of 1.
The next digit of our result is 5. 
Result so far: 2105.0
Subtract 10 from 11 to get 1.
Include the next digit (1) from the dividend after 1, then repeat: 11 / 2

Going ahead to step 5:
The number 2 fits into 11 5 times, leaving a remainder of 1.
Record the quotient 5 as the next digit in the result. 
Result so far: 21055.0
Subtract 10 from 11 to get 1.
Append the next digit (3) from the dividend to 1 and continue with: 13 / 2

Moving on to step 6:
2 goes into 13 6 times with a remainder of 1.
Write down 6 as next digit of the result. 
Result so far: 210556.0
The remainder is 1 after subtracting 12 from 13.
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:
10 divided by 2 is 5 with a remainder of 0.
Write down 5 as next digit of the result. 
Result so far: 210556.5
Subtracting 10 from 10 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.

Moving on to step 8:
When dividing 0 by 2, we get 0 with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 210556.5
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.

Let's proceed to step 9:
When dividing 0 by 2, we get 0 with a remainder of 0.
The next digit of our result is 0. 
Result so far: 210556.5
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.

The quotient of the division is 210556.5, and the remainder is 0.0.