81429999 ÷ 242 
The aim is to understand the frequency of 242 in 81429999.

Moving on to step 1:
When dividing 8 by 242, we get 0 with a remainder of 8.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 8 and we're left with 8.
Take the next digit (1) from the dividend and append it to 8, then repeat: 81 / 242

Advancing to step 2:
If we divide 81 by 242, we get 0 and a remainder of 81.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 81, we end up with 81.
Grab the next digit (4) from the dividend, add it to 81, then carry on: 814 / 242

Advancing to step 3:
242 goes into 814 3 times with a remainder of 88.
Write down 3 as next digit of the result. 
Result so far: 3.0
The remainder is 88 after subtracting 726 from 814.
Grab the next digit (2) from the dividend, add it to 88, then carry on: 882 / 242

Advancing to step 4:
If we divide 882 by 242, we get 3 and a remainder of 156.
Put 3 as the next digit of the answer. 
Result so far: 33.0
Subtracting 726 from 882 leaves us with 156.
Bring next digit (9) of the dividend behind the 156 and repeat the process: 1569 / 242

Moving on to step 5:
The number 242 fits into 1569 6 times, leaving a remainder of 117.
Write down 6 as next digit of the result. 
Result so far: 336.0
Subtracting 1452 from 1569 leaves us with 117.
Bring next digit (9) of the dividend behind the 117 and repeat the process: 1179 / 242

Moving on to step 6:
242 can be fit into 1179 4 times, resulting in a remainder of 211.
The number 4 becomes the next digit in our result. 
Result so far: 3364.0
If we subtract 968 from 1179, we get 211.
Append the next digit (9) from the dividend to 211 and continue with: 2119 / 242

Let's proceed to step 7:
If we divide 2119 by 242, we get 8 and a remainder of 183.
The next digit of our result is 8. 
Result so far: 33648.0
Subtracting 1936 from 2119 leaves us with 183.
Include the next digit (9) from the dividend after 183, then repeat: 1839 / 242

Step 8:
242 can be fit into 1839 7 times, resulting in a remainder of 145.
Record the quotient 7 as the next digit in the result. 
Result so far: 336487.0
If we subtract 1694 from 1839, we get 145.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1450, and continue the process.

On to step 9:
If we divide 1450 by 242, we get 5 and a remainder of 240.
Write down 5 as next digit of the result. 
Result so far: 336487.5
Deduct 1210 from 1450 and we're left with 240.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2400, and continue the process.

Let's proceed to step 10:
If we divide 2400 by 242, we get 9 and a remainder of 222.
Write down 9 as next digit of the result. 
Result so far: 336487.59
Deduct 2178 from 2400 and we're left with 222.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2220, and continue the process.

Advancing to step 11:
242 goes into 2220 9 times with a remainder of 42.
The number 9 becomes the next digit in our result. 
Result so far: 336487.599
Subtract 2178 from 2220 to get 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

The quotient of the division is 336487.599, and the remainder is 0.0042.