81601217 ÷ 442 
The aim is to understand the frequency of 442 in 81601217.

On to step 1:
8 divided by 442 is 0 with a remainder of 8.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 8, we end up with 8.
Bring next digit (1) of the dividend behind the 8 and repeat the process: 81 / 442

Advancing to step 2:
When dividing 81 by 442, we get 0 with a remainder of 81.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 81, we get 81.
Take the next digit (6) from the dividend and append it to 81, then repeat: 816 / 442

Going ahead to step 3:
When dividing 816 by 442, we get 1 with a remainder of 374.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtract 442 from 816 to get 374.
Append the next digit (0) from the dividend to 374 and continue with: 3740 / 442

Moving on to step 4:
442 goes into 3740 8 times with a remainder of 204.
Put 8 as the next digit of the answer. 
Result so far: 18.0
If we take 3536 away from 3740, we end up with 204.
Append the next digit (1) from the dividend to 204 and continue with: 2041 / 442

Advancing to step 5:
2041 divided by 442 is 4 with a remainder of 273.
Write down 4 as next digit of the result. 
Result so far: 184.0
If we subtract 1768 from 2041, we get 273.
Append the next digit (2) from the dividend to 273 and continue with: 2732 / 442

Let's proceed to step 6:
If we divide 2732 by 442, we get 6 and a remainder of 80.
The next digit of our result is 6. 
Result so far: 1846.0
The remainder is 80 after subtracting 2652 from 2732.
Append the next digit (1) from the dividend to 80 and continue with: 801 / 442

Step 7:
When dividing 801 by 442, we get 1 with a remainder of 359.
The next digit of our result is 1. 
Result so far: 18461.0
If we take 442 away from 801, we end up with 359.
Include the next digit (7) from the dividend after 359, then repeat: 3597 / 442

Going ahead to step 8:
3597 divided by 442 is 8 with a remainder of 61.
The number 8 becomes the next digit in our result. 
Result so far: 184618.0
The remainder is 61 after subtracting 3536 from 3597.
Since there are no more digits in the dividend, we add a zero to the remainder making it 610, and continue the process.

Moving on to step 9:
442 can be fit into 610 1 times, resulting in a remainder of 168.
Write down 1 as next digit of the result. 
Result so far: 184618.1
Subtracting 442 from 610 leaves us with 168.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1680, and continue the process.

Going ahead to step 10:
The number 442 fits into 1680 3 times, leaving a remainder of 354.
Record the quotient 3 as the next digit in the result. 
Result so far: 184618.13
If we take 1326 away from 1680, we end up with 354.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3540, and continue the process.

Going ahead to step 11:
442 can be fit into 3540 8 times, resulting in a remainder of 4.
Use 8 as the next digit of our solution. 
Result so far: 184618.138
The remainder is 4 after subtracting 3536 from 3540.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 12:
442 goes into 40 0 times with a remainder of 40.
The next digit of our result is 0. 
Result so far: 184618.138
If we take 0 away from 40, we end up with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Let's proceed to step 13:
If we divide 400 by 442, we get 0 and a remainder of 400.
Write down 0 as next digit of the result. 
Result so far: 184618.138
If we take 0 away from 400, we end up with 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4000, and continue the process.

After the division, we end up with 184618.138 and a remainder of 0.0004.