We're dividing 16037 by 23 
The aim is to understand the frequency of 23 in 16037.

Advancing to step 1:
When dividing 1 by 23, we get 0 with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Take the next digit (6) from the dividend and append it to 1, then repeat: 16 / 23

Moving on to step 2:
23 goes into 16 0 times with a remainder of 16.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 16 and we're left with 16.
Include the next digit (0) from the dividend after 16, then repeat: 160 / 23

Moving on to step 3:
When dividing 160 by 23, we get 6 with a remainder of 22.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
Subtract 138 from 160 to get 22.
Append the next digit (3) from the dividend to 22 and continue with: 223 / 23

Going ahead to step 4:
The number 23 fits into 223 9 times, leaving a remainder of 16.
The next digit of our result is 9. 
Result so far: 69.0
Subtract 207 from 223 to get 16.
Fetch the next digit (7) from the dividend, attach it to 16 and continue: 167 / 23

Advancing to step 5:
When dividing 167 by 23, we get 7 with a remainder of 6.
Write down 7 as next digit of the result. 
Result so far: 697.0
If we subtract 161 from 167, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 6:
If we divide 60 by 23, we get 2 and a remainder of 14.
Use 2 as the next digit of our solution. 
Result so far: 697.2
If we take 46 away from 60, 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.

Step 7:
140 divided by 23 is 6 with a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 697.26
If we subtract 138 from 140, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 8:
23 goes into 20 0 times with a remainder of 20.
Record the quotient 0 as the next digit in the result. 
Result so far: 697.26
Subtracting 0 from 20 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Advancing to step 9:
200 divided by 23 is 8 with a remainder of 16.
The next digit of our result is 8. 
Result so far: 697.2608
The remainder is 16 after subtracting 184 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Let's proceed to step 10:
23 can be fit into 160 6 times, resulting in a remainder of 22.
Record the quotient 6 as the next digit in the result. 
Result so far: 697.26086
Subtracting 138 from 160 leaves us with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Step 11:
If we divide 220 by 23, we get 9 and a remainder of 13.
The next digit of our result is 9. 
Result so far: 697.260869
Deduct 207 from 220 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 12:
When dividing 130 by 23, we get 5 with a remainder of 15.
The number 5 becomes the next digit in our result. 
Result so far: 697.2608695
Subtracting 115 from 130 leaves us with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Advancing to step 13:
23 can be fit into 150 6 times, resulting in a remainder of 12.
Use 6 as the next digit of our solution. 
Result so far: 697.26086956
The remainder is 12 after subtracting 138 from 150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

After the division, we end up with 697.26086956 and a remainder of 1.2e-08.