413665 divided by 22 
The aim is to understand the frequency of 22 in 413665.

Going ahead to step 1:
The number 22 fits into 4 0 times, leaving a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Take the next digit (1) from the dividend and append it to 4, then repeat: 41 / 22

On to step 2:
22 goes into 41 1 times with a remainder of 19.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtract 22 from 41 to get 19.
Grab the next digit (3) from the dividend, add it to 19, then carry on: 193 / 22

Going ahead to step 3:
193 divided by 22 is 8 with a remainder of 17.
Put 8 as the next digit of the answer. 
Result so far: 18.0
Subtracting 176 from 193 leaves us with 17.
Take the next digit (6) from the dividend and append it to 17, then repeat: 176 / 22

Let's proceed to step 4:
When dividing 176 by 22, we get 8 with a remainder of 0.
Write down 8 as next digit of the result. 
Result so far: 188.0
Subtract 176 from 176 to get 0.
Grab the next digit (6) from the dividend, add it to 0, then carry on: 6 / 22

Going ahead to step 5:
The number 22 fits into 6 0 times, leaving a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 1880.0
Subtract 0 from 6 to get 6.
Grab the next digit (5) from the dividend, add it to 6, then carry on: 65 / 22

On to step 6:
65 divided by 22 is 2 with a remainder of 21.
Use 2 as the next digit of our solution. 
Result so far: 18802.0
If we subtract 44 from 65, we get 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Step 7:
210 divided by 22 is 9 with a remainder of 12.
Record the quotient 9 as the next digit in the result. 
Result so far: 18802.9
Deduct 198 from 210 and we're left with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Step 8:
22 can be fit into 120 5 times, resulting in a remainder of 10.
The next digit of our result is 5. 
Result so far: 18802.95
Subtract 110 from 120 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 9:
22 goes into 100 4 times with a remainder of 12.
Put 4 as the next digit of the answer. 
Result so far: 18802.954
Deduct 88 from 100 and we're left with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Going ahead to step 10:
120 divided by 22 is 5 with a remainder of 10.
The next digit of our result is 5. 
Result so far: 18802.9545
Subtract 110 from 120 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 11:
The number 22 fits into 100 4 times, leaving a remainder of 12.
Record the quotient 4 as the next digit in the result. 
Result so far: 18802.95454
Subtracting 88 from 100 leaves us with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Advancing to step 12:
22 goes into 120 5 times with a remainder of 10.
Put 5 as the next digit of the answer. 
Result so far: 18802.954545
Subtracting 110 from 120 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 13:
100 divided by 22 is 4 with a remainder of 12.
Use 4 as the next digit of our solution. 
Result so far: 18802.9545454
Subtract 88 from 100 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Advancing to step 14:
When dividing 120 by 22, we get 5 with a remainder of 10.
Put 5 as the next digit of the answer. 
Result so far: 18802.95454545
Subtracting 110 from 120 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

The quotient of the division is 18802.95454545, and the remainder is 1e-08.