Let's divide 414213 by 4
The aim is to understand the frequency of 4 in 414213.

Let's proceed to step 1:
When dividing 4 by 4, we get 1 with a remainder of 0.
The next digit of our result is 1. 
Result so far: 1.0
Deduct 4 from 4 and we're left with 0.
Include the next digit (1) from the dividend after 0, then repeat: 1 / 4

Moving on to step 2:
When dividing 1 by 4, we get 0 with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 10.0
Subtract 0 from 1 to get 1.
Fetch the next digit (4) from the dividend, attach it to 1 and continue: 14 / 4

Let's proceed to step 3:
14 divided by 4 is 3 with a remainder of 2.
The next digit of our result is 3. 
Result so far: 103.0
Deduct 12 from 14 and we're left with 2.
Append the next digit (2) from the dividend to 2 and continue with: 22 / 4

Moving on to step 4:
The number 4 fits into 22 5 times, leaving a remainder of 2.
Use 5 as the next digit of our solution. 
Result so far: 1035.0
The remainder is 2 after subtracting 20 from 22.
Grab the next digit (1) from the dividend, add it to 2, then carry on: 21 / 4

Moving on to step 5:
The number 4 fits into 21 5 times, leaving a remainder of 1.
Record the quotient 5 as the next digit in the result. 
Result so far: 10355.0
If we take 20 away from 21, we end up with 1.
Take the next digit (3) from the dividend and append it to 1, then repeat: 13 / 4

Step 6:
When dividing 13 by 4, we get 3 with a remainder of 1.
The next digit of our result is 3. 
Result so far: 103553.0
Deduct 12 from 13 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.

Going ahead to step 7:
The number 4 fits into 10 2 times, leaving a remainder of 2.
The next digit of our result is 2. 
Result so far: 103553.2
If we take 8 away from 10, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 8:
4 can be fit into 20 5 times, resulting in a remainder of 0.
The number 5 becomes the next digit in our result. 
Result so far: 103553.25
If we take 20 away from 20, 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 9:
When dividing 0 by 4, we get 0 with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 103553.25
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.

Moving on to step 10:
4 can be fit into 0 0 times, resulting in a remainder of 0.
The next digit of our result is 0. 
Result so far: 103553.25
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.

Our division results in 103553.25 with a remaining 0.0.