865871 ÷ 65 
Our goal is to divide 865871 by 65.

Advancing to step 1:
If we divide 8 by 65, we get 0 and a remainder of 8.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 8 leaves us with 8.
Append the next digit (6) from the dividend to 8 and continue with: 86 / 65

Advancing to step 2:
If we divide 86 by 65, we get 1 and a remainder of 21.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
The remainder is 21 after subtracting 65 from 86.
Take the next digit (5) from the dividend and append it to 21, then repeat: 215 / 65

Moving on to step 3:
If we divide 215 by 65, we get 3 and a remainder of 20.
Use 3 as the next digit of our solution. 
Result so far: 13.0
If we take 195 away from 215, we end up with 20.
Include the next digit (8) from the dividend after 20, then repeat: 208 / 65

On to step 4:
208 divided by 65 is 3 with a remainder of 13.
Write down 3 as next digit of the result. 
Result so far: 133.0
Subtract 195 from 208 to get 13.
Include the next digit (7) from the dividend after 13, then repeat: 137 / 65

Advancing to step 5:
137 divided by 65 is 2 with a remainder of 7.
Write down 2 as next digit of the result. 
Result so far: 1332.0
Subtract 130 from 137 to get 7.
Take the next digit (1) from the dividend and append it to 7, then repeat: 71 / 65

Let's proceed to step 6:
65 can be fit into 71 1 times, resulting in a remainder of 6.
Use 1 as the next digit of our solution. 
Result so far: 13321.0
If we take 65 away from 71, 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 7:
65 can be fit into 60 0 times, resulting in a remainder of 60.
Put 0 as the next digit of the answer. 
Result so far: 13321.0
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 8:
The number 65 fits into 600 9 times, leaving a remainder of 15.
The number 9 becomes the next digit in our result. 
Result so far: 13321.09
If we subtract 585 from 600, we get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Let's proceed to step 9:
When dividing 150 by 65, we get 2 with a remainder of 20.
The next digit of our result is 2. 
Result so far: 13321.092
Subtracting 130 from 150 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.

Moving on to step 10:
If we divide 200 by 65, we get 3 and a remainder of 5.
Put 3 as the next digit of the answer. 
Result so far: 13321.0923
If we take 195 away from 200, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 11:
65 can be fit into 50 0 times, resulting in a remainder of 50.
Use 0 as the next digit of our solution. 
Result so far: 13321.0923
Subtracting 0 from 50 leaves us with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Advancing to step 12:
If we divide 500 by 65, we get 7 and a remainder of 45.
Record the quotient 7 as the next digit in the result. 
Result so far: 13321.092307
Deduct 455 from 500 and we're left with 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Let's proceed to step 13:
The number 65 fits into 450 6 times, leaving a remainder of 60.
Put 6 as the next digit of the answer. 
Result so far: 13321.0923076
Deduct 390 from 450 and we're left 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.

On to step 14:
65 goes into 600 9 times with a remainder of 15.
The number 9 becomes the next digit in our result. 
Result so far: 13321.09230769
Subtracting 585 from 600 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.

Our division results in 13321.09230769 with a remaining 1.5e-08.