We're dividing 823133 by 65 
Let's see how many times 65 fits into 823133.

Step 1:
8 divided by 65 is 0 with a remainder of 8.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 8, we end up with 8.
Grab the next digit (2) from the dividend, add it to 8, then carry on: 82 / 65

Advancing to step 2:
82 divided by 65 is 1 with a remainder of 17.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we take 65 away from 82, we end up with 17.
Fetch the next digit (3) from the dividend, attach it to 17 and continue: 173 / 65

Going ahead to step 3:
The number 65 fits into 173 2 times, leaving a remainder of 43.
Use 2 as the next digit of our solution. 
Result so far: 12.0
Subtract 130 from 173 to get 43.
Grab the next digit (1) from the dividend, add it to 43, then carry on: 431 / 65

On to step 4:
The number 65 fits into 431 6 times, leaving a remainder of 41.
Put 6 as the next digit of the answer. 
Result so far: 126.0
The remainder is 41 after subtracting 390 from 431.
Take the next digit (3) from the dividend and append it to 41, then repeat: 413 / 65

Going ahead to step 5:
65 goes into 413 6 times with a remainder of 23.
The next digit of our result is 6. 
Result so far: 1266.0
The remainder is 23 after subtracting 390 from 413.
Take the next digit (3) from the dividend and append it to 23, then repeat: 233 / 65

Step 6:
The number 65 fits into 233 3 times, leaving a remainder of 38.
Write down 3 as next digit of the result. 
Result so far: 12663.0
The remainder is 38 after subtracting 195 from 233.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Step 7:
When dividing 380 by 65, we get 5 with a remainder of 55.
The next digit of our result is 5. 
Result so far: 12663.5
Subtract 325 from 380 to get 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 8:
If we divide 550 by 65, we get 8 and a remainder of 30.
Record the quotient 8 as the next digit in the result. 
Result so far: 12663.58
Deduct 520 from 550 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.

Advancing to step 9:
65 goes into 300 4 times with a remainder of 40.
Use 4 as the next digit of our solution. 
Result so far: 12663.584
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 10:
When dividing 400 by 65, we get 6 with a remainder of 10.
Put 6 as the next digit of the answer. 
Result so far: 12663.5846
Deduct 390 from 400 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 11:
If we divide 100 by 65, we get 1 and a remainder of 35.
The next digit of our result is 1. 
Result so far: 12663.58461
Subtract 65 from 100 to 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.

Going ahead to step 12:
350 divided by 65 is 5 with a remainder of 25.
Record the quotient 5 as the next digit in the result. 
Result so far: 12663.584615
Deduct 325 from 350 and we're left with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Let's proceed to step 13:
65 goes into 250 3 times with a remainder of 55.
The next digit of our result is 3. 
Result so far: 12663.5846153
If we take 195 away from 250, we end up 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.

Step 14:
If we divide 550 by 65, we get 8 and a remainder of 30.
The next digit of our result is 8. 
Result so far: 12663.58461538
Subtracting 520 from 550 leaves us 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.

Our division results in 12663.58461538 with a remaining 3e-08.