We look at the division of 821487 by 65 
Our goal is to divide 821487 by 65.

Advancing to step 1:
The number 65 fits into 8 0 times, leaving a remainder of 8.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 8 leaves us with 8.
Fetch the next digit (2) from the dividend, attach it to 8 and continue: 82 / 65

On to step 2:
When dividing 82 by 65, we get 1 with a remainder of 17.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtract 65 from 82 to get 17.
Fetch the next digit (1) from the dividend, attach it to 17 and continue: 171 / 65

Advancing to step 3:
65 can be fit into 171 2 times, resulting in a remainder of 41.
Write down 2 as next digit of the result. 
Result so far: 12.0
The remainder is 41 after subtracting 130 from 171.
Grab the next digit (4) from the dividend, add it to 41, then carry on: 414 / 65

Going ahead to step 4:
The number 65 fits into 414 6 times, leaving a remainder of 24.
Use 6 as the next digit of our solution. 
Result so far: 126.0
If we take 390 away from 414, we end up with 24.
Grab the next digit (8) from the dividend, add it to 24, then carry on: 248 / 65

On to step 5:
The number 65 fits into 248 3 times, leaving a remainder of 53.
Write down 3 as next digit of the result. 
Result so far: 1263.0
Deduct 195 from 248 and we're left with 53.
Bring next digit (7) of the dividend behind the 53 and repeat the process: 537 / 65

Moving on to step 6:
65 can be fit into 537 8 times, resulting in a remainder of 17.
Write down 8 as next digit of the result. 
Result so far: 12638.0
If we take 520 away from 537, we end up with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Going ahead to step 7:
65 goes into 170 2 times with a remainder of 40.
Use 2 as the next digit of our solution. 
Result so far: 12638.2
Subtracting 130 from 170 leaves us with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Moving on to step 8:
400 divided by 65 is 6 with a remainder of 10.
The number 6 becomes the next digit in our result. 
Result so far: 12638.26
The remainder is 10 after subtracting 390 from 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 9:
The number 65 fits into 100 1 times, leaving a remainder of 35.
The next digit of our result is 1. 
Result so far: 12638.261
If we subtract 65 from 100, we get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Moving on to step 10:
If we divide 350 by 65, we get 5 and a remainder of 25.
Use 5 as the next digit of our solution. 
Result so far: 12638.2615
If we subtract 325 from 350, we get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Moving on to step 11:
65 can be fit into 250 3 times, resulting in a remainder of 55.
Use 3 as the next digit of our solution. 
Result so far: 12638.26153
Subtracting 195 from 250 leaves us with 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Moving on to step 12:
If we divide 550 by 65, we get 8 and a remainder of 30.
Put 8 as the next digit of the answer. 
Result so far: 12638.261538
If we subtract 520 from 550, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Let's proceed to step 13:
65 can be fit into 300 4 times, resulting in a remainder of 40.
Put 4 as the next digit of the answer. 
Result so far: 12638.2615384
If we subtract 260 from 300, we get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Step 14:
The number 65 fits into 400 6 times, leaving a remainder of 10.
Use 6 as the next digit of our solution. 
Result so far: 12638.26153846
Subtract 390 from 400 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Our division results in 12638.26153846 with a remaining 1e-08.