38917989 ÷ 289 
The aim is to understand the frequency of 289 in 38917989.

Step 1:
If we divide 3 by 289, we get 0 and a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Take the next digit (8) from the dividend and append it to 3, then repeat: 38 / 289

Going ahead to step 2:
If we divide 38 by 289, we get 0 and a remainder of 38.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 38 after subtracting 0 from 38.
Fetch the next digit (9) from the dividend, attach it to 38 and continue: 389 / 289

Moving on to step 3:
389 divided by 289 is 1 with a remainder of 100.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Subtracting 289 from 389 leaves us with 100.
Append the next digit (1) from the dividend to 100 and continue with: 1001 / 289

Let's proceed to step 4:
289 can be fit into 1001 3 times, resulting in a remainder of 134.
The number 3 becomes the next digit in our result. 
Result so far: 13.0
Subtract 867 from 1001 to get 134.
Bring next digit (7) of the dividend behind the 134 and repeat the process: 1347 / 289

Moving on to step 5:
If we divide 1347 by 289, we get 4 and a remainder of 191.
Record the quotient 4 as the next digit in the result. 
Result so far: 134.0
Deduct 1156 from 1347 and we're left with 191.
Append the next digit (9) from the dividend to 191 and continue with: 1919 / 289

Advancing to step 6:
The number 289 fits into 1919 6 times, leaving a remainder of 185.
Record the quotient 6 as the next digit in the result. 
Result so far: 1346.0
If we subtract 1734 from 1919, we get 185.
Bring next digit (8) of the dividend behind the 185 and repeat the process: 1858 / 289

Advancing to step 7:
289 goes into 1858 6 times with a remainder of 124.
Use 6 as the next digit of our solution. 
Result so far: 13466.0
The remainder is 124 after subtracting 1734 from 1858.
Fetch the next digit (9) from the dividend, attach it to 124 and continue: 1249 / 289

On to step 8:
If we divide 1249 by 289, we get 4 and a remainder of 93.
Put 4 as the next digit of the answer. 
Result so far: 134664.0
Subtract 1156 from 1249 to get 93.
Since there are no more digits in the dividend, we add a zero to the remainder making it 930, and continue the process.

Let's proceed to step 9:
The number 289 fits into 930 3 times, leaving a remainder of 63.
Write down 3 as next digit of the result. 
Result so far: 134664.3
If we subtract 867 from 930, we get 63.
Since there are no more digits in the dividend, we add a zero to the remainder making it 630, and continue the process.

Step 10:
The number 289 fits into 630 2 times, leaving a remainder of 52.
Put 2 as the next digit of the answer. 
Result so far: 134664.32
If we take 578 away from 630, we end up with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Step 11:
289 goes into 520 1 times with a remainder of 231.
Use 1 as the next digit of our solution. 
Result so far: 134664.321
If we take 289 away from 520, we end up with 231.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2310, and continue the process.

Moving on to step 12:
289 goes into 2310 7 times with a remainder of 287.
The number 7 becomes the next digit in our result. 
Result so far: 134664.3217
If we take 2023 away from 2310, we end up with 287.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2870, and continue the process.

Step 13:
2870 divided by 289 is 9 with a remainder of 269.
Put 9 as the next digit of the answer. 
Result so far: 134664.32179
Deduct 2601 from 2870 and we're left with 269.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2690, and continue the process.

Step 14:
The number 289 fits into 2690 9 times, leaving a remainder of 89.
Put 9 as the next digit of the answer. 
Result so far: 134664.321799
If we subtract 2601 from 2690, we get 89.
Since there are no more digits in the dividend, we add a zero to the remainder making it 890, and continue the process.

The quotient of the division is 134664.321799, and the remainder is 8.9e-06.