120565 ÷ 15 
Our goal is to divide 120565 by 15.

Let's proceed to step 1:
If we divide 1 by 15, we get 0 and a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Take the next digit (2) from the dividend and append it to 1, then repeat: 12 / 15

Advancing to step 2:
12 divided by 15 is 0 with a remainder of 12.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 12, we get 12.
Take the next digit (0) from the dividend and append it to 12, then repeat: 120 / 15

Moving on to step 3:
The number 15 fits into 120 8 times, leaving a remainder of 0.
Record the quotient 8 as the next digit in the result. 
Result so far: 8.0
The remainder is 0 after subtracting 120 from 120.
Grab the next digit (5) from the dividend, add it to 0, then carry on: 5 / 15

Going ahead to step 4:
5 divided by 15 is 0 with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 80.0
Deduct 0 from 5 and we're left with 5.
Grab the next digit (6) from the dividend, add it to 5, then carry on: 56 / 15

Let's proceed to step 5:
56 divided by 15 is 3 with a remainder of 11.
Put 3 as the next digit of the answer. 
Result so far: 803.0
If we take 45 away from 56, we end up with 11.
Fetch the next digit (5) from the dividend, attach it to 11 and continue: 115 / 15

Let's proceed to step 6:
The number 15 fits into 115 7 times, leaving a remainder of 10.
The next digit of our result is 7. 
Result so far: 8037.0
The remainder is 10 after subtracting 105 from 115.
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 7:
If we divide 100 by 15, we get 6 and a remainder of 10.
The next digit of our result is 6. 
Result so far: 8037.6
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.

Going ahead to step 8:
15 goes into 100 6 times with a remainder of 10.
Write down 6 as next digit of the result. 
Result so far: 8037.66
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 result is 8037.66 with a remainder of 0.01.