Let's divide 416819 by 4
The aim is to understand the frequency of 4 in 416819.

On to step 1:
When dividing 4 by 4, we get 1 with a remainder of 0.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we subtract 4 from 4, we get 0.
Append the next digit (1) from the dividend to 0 and continue with: 1 / 4

Let's proceed to step 2:
When dividing 1 by 4, we get 0 with a remainder of 1.
The next digit of our result is 0. 
Result so far: 10.0
If we take 0 away from 1, we end up with 1.
Append the next digit (6) from the dividend to 1 and continue with: 16 / 4

On to step 3:
4 goes into 16 4 times with a remainder of 0.
The next digit of our result is 4. 
Result so far: 104.0
Deduct 16 from 16 and we're left with 0.
Append the next digit (8) from the dividend to 0 and continue with: 8 / 4

Let's proceed to step 4:
4 can be fit into 8 2 times, resulting in a remainder of 0.
Write down 2 as next digit of the result. 
Result so far: 1042.0
Deduct 8 from 8 and we're left with 0.
Grab the next digit (1) from the dividend, add it to 0, then carry on: 1 / 4

Moving on to step 5:
If we divide 1 by 4, we get 0 and a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 10420.0
Subtract 0 from 1 to get 1.
Grab the next digit (9) from the dividend, add it to 1, then carry on: 19 / 4

Advancing to step 6:
4 goes into 19 4 times with a remainder of 3.
The number 4 becomes the next digit in our result. 
Result so far: 104204.0
Deduct 16 from 19 and we're left with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Going ahead to step 7:
4 can be fit into 30 7 times, resulting in a remainder of 2.
The next digit of our result is 7. 
Result so far: 104204.7
Subtracting 28 from 30 leaves us 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.

Advancing to step 8:
When dividing 20 by 4, we get 5 with a remainder of 0.
The number 5 becomes the next digit in our result. 
Result so far: 104204.75
Subtracting 20 from 20 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.

On to step 9:
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: 104204.75
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.

Moving on to step 10:
4 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: 104204.75
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.

After the division, we end up with 104204.75 and a remainder of 0.0.