We divide 827825 by 65
We're looking to find how many times 65 goes into 827825.

On to step 1:
If we divide 8 by 65, we get 0 and a remainder of 8.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 8 after subtracting 0 from 8.
Bring next digit (2) of the dividend behind the 8 and repeat the process: 82 / 65

Advancing to step 2:
The number 65 fits into 82 1 times, leaving a remainder of 17.
Write down 1 as next digit of the result. 
Result so far: 1.0
Deduct 65 from 82 and we're left with 17.
Append the next digit (7) from the dividend to 17 and continue with: 177 / 65

Step 3:
177 divided by 65 is 2 with a remainder of 47.
The number 2 becomes the next digit in our result. 
Result so far: 12.0
The remainder is 47 after subtracting 130 from 177.
Take the next digit (8) from the dividend and append it to 47, then repeat: 478 / 65

Let's proceed to step 4:
When dividing 478 by 65, we get 7 with a remainder of 23.
Write down 7 as next digit of the result. 
Result so far: 127.0
If we subtract 455 from 478, we get 23.
Grab the next digit (2) from the dividend, add it to 23, then carry on: 232 / 65

Advancing to step 5:
65 goes into 232 3 times with a remainder of 37.
Record the quotient 3 as the next digit in the result. 
Result so far: 1273.0
If we take 195 away from 232, we end up with 37.
Grab the next digit (5) from the dividend, add it to 37, then carry on: 375 / 65

Step 6:
If we divide 375 by 65, we get 5 and a remainder of 50.
Write down 5 as next digit of the result. 
Result so far: 12735.0
If we subtract 325 from 375, we 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.

Going ahead to step 7:
65 goes into 500 7 times with a remainder of 45.
Record the quotient 7 as the next digit in the result. 
Result so far: 12735.7
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 8:
If we divide 450 by 65, we get 6 and a remainder of 60.
Record the quotient 6 as the next digit in the result. 
Result so far: 12735.76
Subtract 390 from 450 to get 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 9:
The number 65 fits into 600 9 times, leaving a remainder of 15.
Record the quotient 9 as the next digit in the result. 
Result so far: 12735.769
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.

Step 10:
65 goes into 150 2 times with a remainder of 20.
The next digit of our result is 2. 
Result so far: 12735.7692
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.

Advancing to step 11:
When dividing 200 by 65, we get 3 with a remainder of 5.
The next digit of our result is 3. 
Result so far: 12735.76923
The remainder is 5 after subtracting 195 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 12:
If we divide 50 by 65, we get 0 and a remainder of 50.
Use 0 as the next digit of our solution. 
Result so far: 12735.76923
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.

On to step 13:
The number 65 fits into 500 7 times, leaving a remainder of 45.
Write down 7 as next digit of the result. 
Result so far: 12735.7692307
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.

Advancing to step 14:
65 can be fit into 450 6 times, resulting in a remainder of 60.
Record the quotient 6 as the next digit in the result. 
Result so far: 12735.76923076
If we subtract 390 from 450, we get 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Our division results in 12735.76923076 with a remaining 6e-08.