832809 ÷ 65 
Our goal is to divide 832809 by 65.

On to step 1:
If we divide 8 by 65, we get 0 and a remainder of 8.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 8 and we're left with 8.
Grab the next digit (3) from the dividend, add it to 8, then carry on: 83 / 65

Step 2:
65 can be fit into 83 1 times, resulting in a remainder of 18.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
The remainder is 18 after subtracting 65 from 83.
Bring next digit (2) of the dividend behind the 18 and repeat the process: 182 / 65

Advancing to step 3:
65 goes into 182 2 times with a remainder of 52.
Write down 2 as next digit of the result. 
Result so far: 12.0
If we take 130 away from 182, we end up with 52.
Include the next digit (8) from the dividend after 52, then repeat: 528 / 65

Step 4:
If we divide 528 by 65, we get 8 and a remainder of 8.
Record the quotient 8 as the next digit in the result. 
Result so far: 128.0
The remainder is 8 after subtracting 520 from 528.
Take the next digit (0) from the dividend and append it to 8, then repeat: 80 / 65

Advancing to step 5:
65 goes into 80 1 times with a remainder of 15.
Use 1 as the next digit of our solution. 
Result so far: 1281.0
The remainder is 15 after subtracting 65 from 80.
Append the next digit (9) from the dividend to 15 and continue with: 159 / 65

Step 6:
When dividing 159 by 65, we get 2 with a remainder of 29.
Record the quotient 2 as the next digit in the result. 
Result so far: 12812.0
Subtracting 130 from 159 leaves us with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

On to step 7:
If we divide 290 by 65, we get 4 and a remainder of 30.
The number 4 becomes the next digit in our result. 
Result so far: 12812.4
Deduct 260 from 290 and we're left with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Step 8:
The number 65 fits into 300 4 times, leaving a remainder of 40.
The next digit of our result is 4. 
Result so far: 12812.44
Subtract 260 from 300 to 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.

The final outcome is 12812.44, with a leftover of 0.04.