We're dividing 645437 by 2 
The aim is to understand the frequency of 2 in 645437.

Advancing to step 1:
2 goes into 6 3 times with a remainder of 0.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
Subtract 6 from 6 to get 0.
Grab the next digit (4) from the dividend, add it to 0, then carry on: 4 / 2

On to step 2:
2 can be fit into 4 2 times, resulting in a remainder of 0.
Write down 2 as next digit of the result. 
Result so far: 32.0
Deduct 4 from 4 and we're left with 0.
Fetch the next digit (5) from the dividend, attach it to 0 and continue: 5 / 2

Going ahead to step 3:
2 goes into 5 2 times with a remainder of 1.
The next digit of our result is 2. 
Result so far: 322.0
Deduct 4 from 5 and we're left with 1.
Append the next digit (4) from the dividend to 1 and continue with: 14 / 2

Moving on to step 4:
2 can be fit into 14 7 times, resulting in a remainder of 0.
Write down 7 as next digit of the result. 
Result so far: 3227.0
Subtracting 14 from 14 leaves us with 0.
Grab the next digit (3) from the dividend, add it to 0, then carry on: 3 / 2

Going ahead to step 5:
3 divided by 2 is 1 with a remainder of 1.
Use 1 as the next digit of our solution. 
Result so far: 32271.0
Deduct 2 from 3 and we're left with 1.
Take the next digit (7) from the dividend and append it to 1, then repeat: 17 / 2

Going ahead to step 6:
17 divided by 2 is 8 with a remainder of 1.
Use 8 as the next digit of our solution. 
Result so far: 322718.0
If we subtract 16 from 17, we 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.

Let's proceed to step 7:
2 can be fit into 10 5 times, resulting in a remainder of 0.
Put 5 as the next digit of the answer. 
Result so far: 322718.5
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.

Let's proceed to step 8:
If we divide 0 by 2, we get 0 and a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 322718.5
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.

Let's proceed to step 9:
2 can be fit into 0 0 times, resulting in a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 322718.5
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.

The quotient of the division is 322718.5, and the remainder is 0.0.