289003 ÷ 38 
The aim is to understand the frequency of 38 in 289003.

Moving on to step 1:
If we divide 2 by 38, we get 0 and a remainder of 2.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 2 after subtracting 0 from 2.
Append the next digit (8) from the dividend to 2 and continue with: 28 / 38

Going ahead to step 2:
38 goes into 28 0 times with a remainder of 28.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 28 to get 28.
Fetch the next digit (9) from the dividend, attach it to 28 and continue: 289 / 38

Going ahead to step 3:
The number 38 fits into 289 7 times, leaving a remainder of 23.
Put 7 as the next digit of the answer. 
Result so far: 7.0
If we take 266 away from 289, we end up with 23.
Grab the next digit (0) from the dividend, add it to 23, then carry on: 230 / 38

Going ahead to step 4:
38 goes into 230 6 times with a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 76.0
Subtract 228 from 230 to get 2.
Include the next digit (0) from the dividend after 2, then repeat: 20 / 38

Advancing to step 5:
When dividing 20 by 38, we get 0 with a remainder of 20.
Use 0 as the next digit of our solution. 
Result so far: 760.0
If we take 0 away from 20, we end up with 20.
Take the next digit (3) from the dividend and append it to 20, then repeat: 203 / 38

On to step 6:
When dividing 203 by 38, we get 5 with a remainder of 13.
Put 5 as the next digit of the answer. 
Result so far: 7605.0
Deduct 190 from 203 and we're left with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Going ahead to step 7:
38 goes into 130 3 times with a remainder of 16.
Record the quotient 3 as the next digit in the result. 
Result so far: 7605.3
Deduct 114 from 130 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.

Moving on to step 8:
38 goes into 160 4 times with a remainder of 8.
The number 4 becomes the next digit in our result. 
Result so far: 7605.34
Subtract 152 from 160 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Going ahead to step 9:
When dividing 80 by 38, we get 2 with a remainder of 4.
Write down 2 as next digit of the result. 
Result so far: 7605.342
Subtract 76 from 80 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 10:
38 can be fit into 40 1 times, resulting in a remainder of 2.
Use 1 as the next digit of our solution. 
Result so far: 7605.3421
Deduct 38 from 40 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 11:
20 divided by 38 is 0 with a remainder of 20.
Put 0 as the next digit of the answer. 
Result so far: 7605.3421
The remainder is 20 after subtracting 0 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 12:
If we divide 200 by 38, we get 5 and a remainder of 10.
The number 5 becomes the next digit in our result. 
Result so far: 7605.342105
The remainder is 10 after subtracting 190 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 13:
100 divided by 38 is 2 with a remainder of 24.
Put 2 as the next digit of the answer. 
Result so far: 7605.3421052
The remainder is 24 after subtracting 76 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

On to step 14:
38 can be fit into 240 6 times, resulting in a remainder of 12.
The next digit of our result is 6. 
Result so far: 7605.34210526
If we subtract 228 from 240, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

The final result is 7605.34210526 with a remainder of 1.2e-08.