289609 divided by 38 
The aim is to understand the frequency of 38 in 289609.

Moving on to step 1:
2 divided by 38 is 0 with a remainder of 2.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 2, we get 2.
Grab the next digit (8) from the dividend, add it to 2, then carry on: 28 / 38

Going ahead to step 2:
When dividing 28 by 38, we get 0 with a remainder of 28.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 28, we end up with 28.
Grab the next digit (9) from the dividend, add it to 28, then carry on: 289 / 38

Let's proceed to step 3:
38 goes into 289 7 times with a remainder of 23.
Record the quotient 7 as the next digit in the result. 
Result so far: 7.0
The remainder is 23 after subtracting 266 from 289.
Take the next digit (6) from the dividend and append it to 23, then repeat: 236 / 38

Moving on to step 4:
38 goes into 236 6 times with a remainder of 8.
Use 6 as the next digit of our solution. 
Result so far: 76.0
Deduct 228 from 236 and we're left with 8.
Include the next digit (0) from the dividend after 8, then repeat: 80 / 38

Going ahead to step 5:
38 goes into 80 2 times with a remainder of 4.
The next digit of our result is 2. 
Result so far: 762.0
If we take 76 away from 80, we end up with 4.
Append the next digit (9) from the dividend to 4 and continue with: 49 / 38

Let's proceed to step 6:
The number 38 fits into 49 1 times, leaving a remainder of 11.
Put 1 as the next digit of the answer. 
Result so far: 7621.0
Subtract 38 from 49 to get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Going ahead to step 7:
38 goes into 110 2 times with a remainder of 34.
The next digit of our result is 2. 
Result so far: 7621.2
If we take 76 away from 110, we end up with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Moving on to step 8:
38 can be fit into 340 8 times, resulting in a remainder of 36.
Use 8 as the next digit of our solution. 
Result so far: 7621.28
The remainder is 36 after subtracting 304 from 340.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Advancing to step 9:
The number 38 fits into 360 9 times, leaving a remainder of 18.
The number 9 becomes the next digit in our result. 
Result so far: 7621.289
Subtracting 342 from 360 leaves us with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Let's proceed to step 10:
38 goes into 180 4 times with a remainder of 28.
Use 4 as the next digit of our solution. 
Result so far: 7621.2894
If we take 152 away from 180, we end up with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

On to step 11:
38 goes into 280 7 times with a remainder of 14.
Write down 7 as next digit of the result. 
Result so far: 7621.28947
If we take 266 away from 280, we end up with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Let's proceed to step 12:
The number 38 fits into 140 3 times, leaving a remainder of 26.
Put 3 as the next digit of the answer. 
Result so far: 7621.289473
The remainder is 26 after subtracting 114 from 140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Moving on to step 13:
The number 38 fits into 260 6 times, leaving a remainder of 32.
The next digit of our result is 6. 
Result so far: 7621.2894736
Deduct 228 from 260 and we're left with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Let's proceed to step 14:
320 divided by 38 is 8 with a remainder of 16.
Record the quotient 8 as the next digit in the result. 
Result so far: 7621.28947368
Deduct 304 from 320 and we're left with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Our division results in 7621.28947368 with a remaining 1.6e-08.