We divide 261235 by 15
We want to figure out the number of times 261235 can be divided by 15.

Let's proceed to step 1:
2 divided by 15 is 0 with a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 2 to get 2.
Include the next digit (6) from the dividend after 2, then repeat: 26 / 15

Going ahead to step 2:
If we divide 26 by 15, we get 1 and a remainder of 11.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtract 15 from 26 to get 11.
Grab the next digit (1) from the dividend, add it to 11, then carry on: 111 / 15

Let's proceed to step 3:
15 can be fit into 111 7 times, resulting in a remainder of 6.
Record the quotient 7 as the next digit in the result. 
Result so far: 17.0
If we subtract 105 from 111, we get 6.
Bring next digit (2) of the dividend behind the 6 and repeat the process: 62 / 15

Advancing to step 4:
15 can be fit into 62 4 times, resulting in a remainder of 2.
Use 4 as the next digit of our solution. 
Result so far: 174.0
Deduct 60 from 62 and we're left with 2.
Bring next digit (3) of the dividend behind the 2 and repeat the process: 23 / 15

On to step 5:
15 goes into 23 1 times with a remainder of 8.
Record the quotient 1 as the next digit in the result. 
Result so far: 1741.0
Subtracting 15 from 23 leaves us with 8.
Append the next digit (5) from the dividend to 8 and continue with: 85 / 15

Step 6:
85 divided by 15 is 5 with a remainder of 10.
Record the quotient 5 as the next digit in the result. 
Result so far: 17415.0
If we take 75 away from 85, 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.

Let's proceed to step 7:
When dividing 100 by 15, we get 6 with a remainder of 10.
The next digit of our result is 6. 
Result so far: 17415.6
The remainder is 10 after subtracting 90 from 100.
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 8:
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: 17415.66
Subtracting 90 from 100 leaves us 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 17415.66, with a leftover of 0.01.