414564 ÷ 40 
The aim is to understand the frequency of 40 in 414564.

Advancing to step 1:
When dividing 4 by 40, we get 0 with a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Bring next digit (1) of the dividend behind the 4 and repeat the process: 41 / 40

Moving on to step 2:
40 goes into 41 1 times with a remainder of 1.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we take 40 away from 41, we end up with 1.
Grab the next digit (4) from the dividend, add it to 1, then carry on: 14 / 40

Advancing to step 3:
40 goes into 14 0 times with a remainder of 14.
Record the quotient 0 as the next digit in the result. 
Result so far: 10.0
If we take 0 away from 14, we end up with 14.
Take the next digit (5) from the dividend and append it to 14, then repeat: 145 / 40

On to step 4:
40 goes into 145 3 times with a remainder of 25.
Put 3 as the next digit of the answer. 
Result so far: 103.0
Subtract 120 from 145 to get 25.
Grab the next digit (6) from the dividend, add it to 25, then carry on: 256 / 40

Let's proceed to step 5:
When dividing 256 by 40, we get 6 with a remainder of 16.
The next digit of our result is 6. 
Result so far: 1036.0
If we take 240 away from 256, we end up with 16.
Grab the next digit (4) from the dividend, add it to 16, then carry on: 164 / 40

Let's proceed to step 6:
When dividing 164 by 40, we get 4 with a remainder of 4.
Record the quotient 4 as the next digit in the result. 
Result so far: 10364.0
The remainder is 4 after subtracting 160 from 164.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 7:
40 divided by 40 is 1 with a remainder of 0.
The number 1 becomes the next digit in our result. 
Result so far: 10364.1
Subtract 40 from 40 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.

Advancing to step 8:
40 goes into 0 0 times with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 10364.1
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.

Let's proceed to step 9:
When dividing 0 by 40, we get 0 with a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 10364.1
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.

The final result is 10364.1 with a remainder of 0.0.