We're dividing 155761 by 38 
The aim is to understand the frequency of 38 in 155761.

Moving on to step 1:
38 goes into 1 0 times with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Include the next digit (5) from the dividend after 1, then repeat: 15 / 38

Step 2:
The number 38 fits into 15 0 times, leaving a remainder of 15.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 15 to get 15.
Bring next digit (5) of the dividend behind the 15 and repeat the process: 155 / 38

Moving on to step 3:
38 can be fit into 155 4 times, resulting in a remainder of 3.
Put 4 as the next digit of the answer. 
Result so far: 4.0
Subtract 152 from 155 to get 3.
Fetch the next digit (7) from the dividend, attach it to 3 and continue: 37 / 38

Step 4:
If we divide 37 by 38, we get 0 and a remainder of 37.
The next digit of our result is 0. 
Result so far: 40.0
Subtracting 0 from 37 leaves us with 37.
Append the next digit (6) from the dividend to 37 and continue with: 376 / 38

Going ahead to step 5:
The number 38 fits into 376 9 times, leaving a remainder of 34.
The next digit of our result is 9. 
Result so far: 409.0
Deduct 342 from 376 and we're left with 34.
Bring next digit (1) of the dividend behind the 34 and repeat the process: 341 / 38

Moving on to step 6:
If we divide 341 by 38, we get 8 and a remainder of 37.
Use 8 as the next digit of our solution. 
Result so far: 4098.0
The remainder is 37 after subtracting 304 from 341.
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 7:
If we divide 370 by 38, we get 9 and a remainder of 28.
The next digit of our result is 9. 
Result so far: 4098.9
Subtract 342 from 370 to 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.

Step 8:
If we divide 280 by 38, we get 7 and a remainder of 14.
Write down 7 as next digit of the result. 
Result so far: 4098.97
If we subtract 266 from 280, we get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Moving on to step 9:
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: 4098.973
Subtract 114 from 140 to get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Let's proceed to step 10:
When dividing 260 by 38, we get 6 with a remainder of 32.
Write down 6 as next digit of the result. 
Result so far: 4098.9736
If we subtract 228 from 260, we get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Step 11:
38 goes into 320 8 times with a remainder of 16.
Record the quotient 8 as the next digit in the result. 
Result so far: 4098.97368
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.

On to step 12:
38 goes into 160 4 times with a remainder of 8.
The number 4 becomes the next digit in our result. 
Result so far: 4098.973684
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.

Advancing to step 13:
The number 38 fits into 80 2 times, leaving a remainder of 4.
The number 2 becomes the next digit in our result. 
Result so far: 4098.9736842
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.

Let's proceed to step 14:
38 goes into 40 1 times with a remainder of 2.
The next digit of our result is 1. 
Result so far: 4098.97368421
The remainder is 2 after subtracting 38 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

The final outcome is 4098.97368421, with a leftover of 2e-09.