876232 ÷ 65 
Our goal is to divide 876232 by 65.

On to step 1:
65 can be fit into 8 0 times, resulting in 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.
Take the next digit (7) from the dividend and append it to 8, then repeat: 87 / 65

Advancing to step 2:
The number 65 fits into 87 1 times, leaving a remainder of 22.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtracting 65 from 87 leaves us with 22.
Grab the next digit (6) from the dividend, add it to 22, then carry on: 226 / 65

On to step 3:
226 divided by 65 is 3 with a remainder of 31.
Write down 3 as next digit of the result. 
Result so far: 13.0
Subtract 195 from 226 to get 31.
Bring next digit (2) of the dividend behind the 31 and repeat the process: 312 / 65

Let's proceed to step 4:
When dividing 312 by 65, we get 4 with a remainder of 52.
Put 4 as the next digit of the answer. 
Result so far: 134.0
Subtract 260 from 312 to get 52.
Include the next digit (3) from the dividend after 52, then repeat: 523 / 65

Going ahead to step 5:
If we divide 523 by 65, we get 8 and a remainder of 3.
Use 8 as the next digit of our solution. 
Result so far: 1348.0
Subtracting 520 from 523 leaves us with 3.
Bring next digit (2) of the dividend behind the 3 and repeat the process: 32 / 65

Going ahead to step 6:
65 goes into 32 0 times with a remainder of 32.
The next digit of our result is 0. 
Result so far: 13480.0
Subtract 0 from 32 to get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

On to step 7:
65 goes into 320 4 times with a remainder of 60.
Record the quotient 4 as the next digit in the result. 
Result so far: 13480.4
If we take 260 away from 320, 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.

Moving on to step 8:
When dividing 600 by 65, we get 9 with a remainder of 15.
Write down 9 as next digit of the result. 
Result so far: 13480.49
If we take 585 away from 600, we end up 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.

Step 9:
If we divide 150 by 65, we get 2 and a remainder of 20.
Write down 2 as next digit of the result. 
Result so far: 13480.492
If we take 130 away from 150, we end up 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:
65 can be fit into 200 3 times, resulting in a remainder of 5.
Record the quotient 3 as the next digit in the result. 
Result so far: 13480.4923
Subtracting 195 from 200 leaves us 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.

Step 11:
65 goes into 50 0 times with a remainder of 50.
Use 0 as the next digit of our solution. 
Result so far: 13480.4923
Subtract 0 from 50 to get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Let's proceed to step 12:
When dividing 500 by 65, we get 7 with a remainder of 45.
Write down 7 as next digit of the result. 
Result so far: 13480.492307
Subtract 455 from 500 to get 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Going ahead to step 13:
450 divided by 65 is 6 with a remainder of 60.
The number 6 becomes the next digit in our result. 
Result so far: 13480.4923076
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.

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: 13480.49230769
Deduct 585 from 600 and we're left 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.

The final result is 13480.49230769 with a remainder of 1.5e-08.