39596096 ÷ 289 
The aim is to understand the frequency of 289 in 39596096.

On to step 1:
289 goes into 3 0 times with a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Take the next digit (9) from the dividend and append it to 3, then repeat: 39 / 289

Let's proceed to step 2:
39 divided by 289 is 0 with a remainder of 39.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 39 leaves us with 39.
Take the next digit (5) from the dividend and append it to 39, then repeat: 395 / 289

Let's proceed to step 3:
289 goes into 395 1 times with a remainder of 106.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Subtract 289 from 395 to get 106.
Bring next digit (9) of the dividend behind the 106 and repeat the process: 1069 / 289

Let's proceed to step 4:
1069 divided by 289 is 3 with a remainder of 202.
The next digit of our result is 3. 
Result so far: 13.0
The remainder is 202 after subtracting 867 from 1069.
Append the next digit (6) from the dividend to 202 and continue with: 2026 / 289

Step 5:
If we divide 2026 by 289, we get 7 and a remainder of 3.
The number 7 becomes the next digit in our result. 
Result so far: 137.0
Deduct 2023 from 2026 and we're left with 3.
Fetch the next digit (0) from the dividend, attach it to 3 and continue: 30 / 289

On to step 6:
30 divided by 289 is 0 with a remainder of 30.
Put 0 as the next digit of the answer. 
Result so far: 1370.0
If we subtract 0 from 30, we get 30.
Include the next digit (9) from the dividend after 30, then repeat: 309 / 289

Moving on to step 7:
If we divide 309 by 289, we get 1 and a remainder of 20.
Record the quotient 1 as the next digit in the result. 
Result so far: 13701.0
The remainder is 20 after subtracting 289 from 309.
Grab the next digit (6) from the dividend, add it to 20, then carry on: 206 / 289

Step 8:
If we divide 206 by 289, we get 0 and a remainder of 206.
Put 0 as the next digit of the answer. 
Result so far: 137010.0
Deduct 0 from 206 and we're left with 206.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2060, and continue the process.

Moving on to step 9:
The number 289 fits into 2060 7 times, leaving a remainder of 37.
Record the quotient 7 as the next digit in the result. 
Result so far: 137010.7
Deduct 2023 from 2060 and we're left with 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Let's proceed to step 10:
When dividing 370 by 289, we get 1 with a remainder of 81.
Write down 1 as next digit of the result. 
Result so far: 137010.71
Subtract 289 from 370 to get 81.
Since there are no more digits in the dividend, we add a zero to the remainder making it 810, and continue the process.

Step 11:
810 divided by 289 is 2 with a remainder of 232.
The next digit of our result is 2. 
Result so far: 137010.712
If we take 578 away from 810, we end up with 232.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2320, and continue the process.

Going ahead to step 12:
2320 divided by 289 is 8 with a remainder of 8.
The next digit of our result is 8. 
Result so far: 137010.7128
If we take 2312 away from 2320, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 13:
289 can be fit into 80 0 times, resulting in a remainder of 80.
Use 0 as the next digit of our solution. 
Result so far: 137010.7128
If we take 0 away from 80, we end up with 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Step 14:
When dividing 800 by 289, we get 2 with a remainder of 222.
Use 2 as the next digit of our solution. 
Result so far: 137010.712802
The remainder is 222 after subtracting 578 from 800.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2220, and continue the process.

On to step 15:
289 goes into 2220 7 times with a remainder of 197.
Record the quotient 7 as the next digit in the result. 
Result so far: 137010.7128027
Deduct 2023 from 2220 and we're left with 197.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1970, and continue the process.

Advancing to step 16:
The number 289 fits into 1970 6 times, leaving a remainder of 236.
Record the quotient 6 as the next digit in the result. 
Result so far: 137010.71280276
The remainder is 236 after subtracting 1734 from 1970.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2360, and continue the process.

After the division, we end up with 137010.71280276 and a remainder of 2.36e-07.