82142738 divided by 289 
The aim is to understand the frequency of 289 in 82142738.

Moving on to step 1:
When dividing 8 by 289, we get 0 with a remainder of 8.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 8 leaves us with 8.
Grab the next digit (2) from the dividend, add it to 8, then carry on: 82 / 289

On to step 2:
The number 289 fits into 82 0 times, leaving a remainder of 82.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 82 after subtracting 0 from 82.
Grab the next digit (1) from the dividend, add it to 82, then carry on: 821 / 289

Moving on to step 3:
When dividing 821 by 289, we get 2 with a remainder of 243.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
Subtract 578 from 821 to get 243.
Bring next digit (4) of the dividend behind the 243 and repeat the process: 2434 / 289

Let's proceed to step 4:
The number 289 fits into 2434 8 times, leaving a remainder of 122.
The number 8 becomes the next digit in our result. 
Result so far: 28.0
Subtracting 2312 from 2434 leaves us with 122.
Take the next digit (2) from the dividend and append it to 122, then repeat: 1222 / 289

On to step 5:
289 goes into 1222 4 times with a remainder of 66.
Write down 4 as next digit of the result. 
Result so far: 284.0
Subtracting 1156 from 1222 leaves us with 66.
Take the next digit (7) from the dividend and append it to 66, then repeat: 667 / 289

Going ahead to step 6:
If we divide 667 by 289, we get 2 and a remainder of 89.
The next digit of our result is 2. 
Result so far: 2842.0
Subtracting 578 from 667 leaves us with 89.
Append the next digit (3) from the dividend to 89 and continue with: 893 / 289

Moving on to step 7:
289 can be fit into 893 3 times, resulting in a remainder of 26.
Use 3 as the next digit of our solution. 
Result so far: 28423.0
If we subtract 867 from 893, we get 26.
Bring next digit (8) of the dividend behind the 26 and repeat the process: 268 / 289

Step 8:
289 goes into 268 0 times with a remainder of 268.
Write down 0 as next digit of the result. 
Result so far: 284230.0
If we subtract 0 from 268, we get 268.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2680, and continue the process.

Moving on to step 9:
When dividing 2680 by 289, we get 9 with a remainder of 79.
The next digit of our result is 9. 
Result so far: 284230.9
Subtracting 2601 from 2680 leaves us with 79.
Since there are no more digits in the dividend, we add a zero to the remainder making it 790, and continue the process.

Step 10:
289 can be fit into 790 2 times, resulting in a remainder of 212.
Write down 2 as next digit of the result. 
Result so far: 284230.92
If we subtract 578 from 790, we get 212.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2120, and continue the process.

Step 11:
2120 divided by 289 is 7 with a remainder of 97.
Write down 7 as next digit of the result. 
Result so far: 284230.927
Deduct 2023 from 2120 and we're left with 97.
Since there are no more digits in the dividend, we add a zero to the remainder making it 970, and continue the process.

Moving on to step 12:
When dividing 970 by 289, we get 3 with a remainder of 103.
Put 3 as the next digit of the answer. 
Result so far: 284230.9273
If we subtract 867 from 970, we get 103.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1030, and continue the process.

Moving on to step 13:
If we divide 1030 by 289, we get 3 and a remainder of 163.
The number 3 becomes the next digit in our result. 
Result so far: 284230.92733
Subtract 867 from 1030 to get 163.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1630, and continue the process.

Our division results in 284230.92733 with a remaining 0.000163.