115861 ÷ 15 
The aim is to understand the frequency of 15 in 115861.

Moving on to step 1:
When dividing 1 by 15, we get 0 with a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Append the next digit (1) from the dividend to 1 and continue with: 11 / 15

Let's proceed to step 2:
11 divided by 15 is 0 with a remainder of 11.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 11, we get 11.
Bring next digit (5) of the dividend behind the 11 and repeat the process: 115 / 15

Advancing to step 3:
When dividing 115 by 15, we get 7 with a remainder of 10.
The next digit of our result is 7. 
Result so far: 7.0
If we subtract 105 from 115, we get 10.
Take the next digit (8) from the dividend and append it to 10, then repeat: 108 / 15

On to step 4:
When dividing 108 by 15, we get 7 with a remainder of 3.
The next digit of our result is 7. 
Result so far: 77.0
Deduct 105 from 108 and we're left with 3.
Bring next digit (6) of the dividend behind the 3 and repeat the process: 36 / 15

Step 5:
The number 15 fits into 36 2 times, leaving a remainder of 6.
The number 2 becomes the next digit in our result. 
Result so far: 772.0
Subtracting 30 from 36 leaves us with 6.
Grab the next digit (1) from the dividend, add it to 6, then carry on: 61 / 15

On to step 6:
The number 15 fits into 61 4 times, leaving a remainder of 1.
Put 4 as the next digit of the answer. 
Result so far: 7724.0
The remainder is 1 after subtracting 60 from 61.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 7:
15 can be fit into 10 0 times, resulting in a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 7724.0
If we subtract 0 from 10, we get 10.
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 8:
15 can be fit into 100 6 times, resulting in a remainder of 10.
The next digit of our result is 6. 
Result so far: 7724.06
If we take 90 away from 100, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 9:
If we divide 100 by 15, we get 6 and a remainder of 10.
Use 6 as the next digit of our solution. 
Result so far: 7724.066
If we take 90 away from 100, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

The final outcome is 7724.066, with a leftover of 0.001.