We're dividing 117471 by 38 
The aim is to understand the frequency of 38 in 117471.

On to step 1:
38 goes into 1 0 times with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Take the next digit (1) from the dividend and append it to 1, then repeat: 11 / 38

Step 2:
38 goes into 11 0 times with a remainder of 11.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 11 after subtracting 0 from 11.
Append the next digit (7) from the dividend to 11 and continue with: 117 / 38

Let's proceed to step 3:
38 can be fit into 117 3 times, resulting in a remainder of 3.
Write down 3 as next digit of the result. 
Result so far: 3.0
The remainder is 3 after subtracting 114 from 117.
Include the next digit (4) from the dividend after 3, then repeat: 34 / 38

Going ahead to step 4:
34 divided by 38 is 0 with a remainder of 34.
Put 0 as the next digit of the answer. 
Result so far: 30.0
If we take 0 away from 34, we end up with 34.
Bring next digit (7) of the dividend behind the 34 and repeat the process: 347 / 38

Advancing to step 5:
347 divided by 38 is 9 with a remainder of 5.
Put 9 as the next digit of the answer. 
Result so far: 309.0
Subtract 342 from 347 to get 5.
Bring next digit (1) of the dividend behind the 5 and repeat the process: 51 / 38

On to step 6:
When dividing 51 by 38, we get 1 with a remainder of 13.
The number 1 becomes the next digit in our result. 
Result so far: 3091.0
The remainder is 13 after subtracting 38 from 51.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Moving on to step 7:
When dividing 130 by 38, we get 3 with a remainder of 16.
Use 3 as the next digit of our solution. 
Result so far: 3091.3
The remainder is 16 after subtracting 114 from 130.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Step 8:
The number 38 fits into 160 4 times, leaving a remainder of 8.
Write down 4 as next digit of the result. 
Result so far: 3091.34
The remainder is 8 after subtracting 152 from 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 9:
When dividing 80 by 38, we get 2 with a remainder of 4.
The number 2 becomes the next digit in our result. 
Result so far: 3091.342
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.

Going ahead to step 10:
When dividing 40 by 38, we get 1 with a remainder of 2.
The next digit of our result is 1. 
Result so far: 3091.3421
If we take 38 away from 40, we end up 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.

Moving on to step 11:
38 goes into 20 0 times with a remainder of 20.
The number 0 becomes the next digit in our result. 
Result so far: 3091.3421
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.

Let's proceed to step 12:
200 divided by 38 is 5 with a remainder of 10.
Use 5 as the next digit of our solution. 
Result so far: 3091.342105
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.

Moving on to step 13:
When dividing 100 by 38, we get 2 with a remainder of 24.
The next digit of our result is 2. 
Result so far: 3091.3421052
If we subtract 76 from 100, we get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Going ahead to step 14:
When dividing 240 by 38, we get 6 with a remainder of 12.
Record the quotient 6 as the next digit in the result. 
Result so far: 3091.34210526
The remainder is 12 after subtracting 228 from 240.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

In conclusion, the division gives 3091.34210526 with a balance of 1.2e-08.