Let's divide 419269 by 2
The aim is to understand the frequency of 2 in 419269.

Let's proceed to step 1:
When dividing 4 by 2, we get 2 with a remainder of 0.
Use 2 as the next digit of our solution. 
Result so far: 2.0
Deduct 4 from 4 and we're left with 0.
Fetch the next digit (1) from the dividend, attach it to 0 and continue: 1 / 2

Moving on to step 2:
If we divide 1 by 2, we get 0 and a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 20.0
If we subtract 0 from 1, we get 1.
Fetch the next digit (9) from the dividend, attach it to 1 and continue: 19 / 2

On to step 3:
The number 2 fits into 19 9 times, leaving a remainder of 1.
Use 9 as the next digit of our solution. 
Result so far: 209.0
Subtract 18 from 19 to get 1.
Append the next digit (2) from the dividend to 1 and continue with: 12 / 2

Step 4:
The number 2 fits into 12 6 times, leaving a remainder of 0.
Record the quotient 6 as the next digit in the result. 
Result so far: 2096.0
Deduct 12 from 12 and we're left with 0.
Fetch the next digit (6) from the dividend, attach it to 0 and continue: 6 / 2

On to step 5:
The number 2 fits into 6 3 times, leaving a remainder of 0.
The number 3 becomes the next digit in our result. 
Result so far: 20963.0
If we subtract 6 from 6, we get 0.
Take the next digit (9) from the dividend and append it to 0, then repeat: 9 / 2

Going ahead to step 6:
The number 2 fits into 9 4 times, leaving a remainder of 1.
Use 4 as the next digit of our solution. 
Result so far: 209634.0
Deduct 8 from 9 and we're left 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.

On to step 7:
2 goes into 10 5 times with a remainder of 0.
Use 5 as the next digit of our solution. 
Result so far: 209634.5
The remainder is 0 after subtracting 10 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Going ahead to step 8:
2 goes into 0 0 times with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 209634.5
Deduct 0 from 0 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.

Going ahead to step 9:
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: 209634.5
Subtract 0 from 0 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.

The quotient of the division is 209634.5, and the remainder is 0.0.