Let's divide 8565 by 78
We're looking to find how many times 78 goes into 8565.

Let's proceed to step 1:
When dividing 8 by 78, we get 0 with a remainder of 8.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 8 and we're left with 8.
Include the next digit (5) from the dividend after 8, then repeat: 85 / 78

Step 2:
78 can be fit into 85 1 times, resulting in a remainder of 7.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Subtract 78 from 85 to get 7.
Take the next digit (6) from the dividend and append it to 7, then repeat: 76 / 78

Moving on to step 3:
If we divide 76 by 78, we get 0 and a remainder of 76.
Put 0 as the next digit of the answer. 
Result so far: 10.0
The remainder is 76 after subtracting 0 from 76.
Fetch the next digit (5) from the dividend, attach it to 76 and continue: 765 / 78

Going ahead to step 4:
78 goes into 765 9 times with a remainder of 63.
Put 9 as the next digit of the answer. 
Result so far: 109.0
If we take 702 away from 765, we end up with 63.
Since there are no more digits in the dividend, we add a zero to the remainder making it 630, and continue the process.

Moving on to step 5:
The number 78 fits into 630 8 times, leaving a remainder of 6.
Use 8 as the next digit of our solution. 
Result so far: 109.8
If we take 624 away from 630, we end up with 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:
78 can be fit into 60 0 times, resulting in a remainder of 60.
Record the quotient 0 as the next digit in the result. 
Result so far: 109.8
The remainder is 60 after subtracting 0 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Step 7:
600 divided by 78 is 7 with a remainder of 54.
Use 7 as the next digit of our solution. 
Result so far: 109.807
Subtract 546 from 600 to get 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Advancing to step 8:
540 divided by 78 is 6 with a remainder of 72.
Record the quotient 6 as the next digit in the result. 
Result so far: 109.8076
If we subtract 468 from 540, we get 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

Advancing to step 9:
The number 78 fits into 720 9 times, leaving a remainder of 18.
Use 9 as the next digit of our solution. 
Result so far: 109.80769
Deduct 702 from 720 and we're left with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Step 10:
If we divide 180 by 78, we get 2 and a remainder of 24.
The number 2 becomes the next digit in our result. 
Result so far: 109.807692
The remainder is 24 after subtracting 156 from 180.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Let's proceed to step 11:
78 can be fit into 240 3 times, resulting in a remainder of 6.
The next digit of our result is 3. 
Result so far: 109.8076923
Subtract 234 from 240 to 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.

Let's proceed to step 12:
The number 78 fits into 60 0 times, leaving a remainder of 60.
Write down 0 as next digit of the result. 
Result so far: 109.8076923
If we take 0 away from 60, we end up with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

After the division, we end up with 109.8076923 and a remainder of 6e-08.