We're dividing 137153 by 38 
The aim is to understand the frequency of 38 in 137153.

On to step 1:
1 divided by 38 is 0 with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Grab the next digit (3) from the dividend, add it to 1, then carry on: 13 / 38

Step 2:
When dividing 13 by 38, we get 0 with a remainder of 13.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 13 to get 13.
Include the next digit (7) from the dividend after 13, then repeat: 137 / 38

Moving on to step 3:
If we divide 137 by 38, we get 3 and a remainder of 23.
Put 3 as the next digit of the answer. 
Result so far: 3.0
Deduct 114 from 137 and we're left with 23.
Include the next digit (1) from the dividend after 23, then repeat: 231 / 38

Advancing to step 4:
If we divide 231 by 38, we get 6 and a remainder of 3.
The next digit of our result is 6. 
Result so far: 36.0
Deduct 228 from 231 and we're left with 3.
Append the next digit (5) from the dividend to 3 and continue with: 35 / 38

Step 5:
The number 38 fits into 35 0 times, leaving a remainder of 35.
Use 0 as the next digit of our solution. 
Result so far: 360.0
Deduct 0 from 35 and we're left with 35.
Append the next digit (3) from the dividend to 35 and continue with: 353 / 38

On to step 6:
353 divided by 38 is 9 with a remainder of 11.
Record the quotient 9 as the next digit in the result. 
Result so far: 3609.0
Subtracting 342 from 353 leaves us with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

On to step 7:
38 goes into 110 2 times with a remainder of 34.
The number 2 becomes the next digit in our result. 
Result so far: 3609.2
The remainder is 34 after subtracting 76 from 110.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Let's proceed to step 8:
38 goes into 340 8 times with a remainder of 36.
Write down 8 as next digit of the result. 
Result so far: 3609.28
Deduct 304 from 340 and we're left with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

On to step 9:
38 goes into 360 9 times with a remainder of 18.
The next digit of our result is 9. 
Result so far: 3609.289
Subtract 342 from 360 to get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Step 10:
The number 38 fits into 180 4 times, leaving a remainder of 28.
The number 4 becomes the next digit in our result. 
Result so far: 3609.2894
If we subtract 152 from 180, we get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Let's proceed to step 11:
The number 38 fits into 280 7 times, leaving a remainder of 14.
Use 7 as the next digit of our solution. 
Result so far: 3609.28947
Deduct 266 from 280 and we're left 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:
38 can be fit into 140 3 times, resulting in a remainder of 26.
The next digit of our result is 3. 
Result so far: 3609.289473
If we take 114 away from 140, we end up with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

On to step 13:
If we divide 260 by 38, we get 6 and a remainder of 32.
The next digit of our result is 6. 
Result so far: 3609.2894736
If we take 228 away from 260, we end up 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.

On to step 14:
The number 38 fits into 320 8 times, leaving a remainder of 16.
The number 8 becomes the next digit in our result. 
Result so far: 3609.28947368
The remainder is 16 after subtracting 304 from 320.
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 3609.28947368 with a remaining 1.6e-08.