603097 divided by 65 
Our goal is to divide 603097 by 65.

Step 1:
The number 65 fits into 6 0 times, leaving a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Fetch the next digit (0) from the dividend, attach it to 6 and continue: 60 / 65

Going ahead to step 2:
The number 65 fits into 60 0 times, leaving a remainder of 60.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 60 leaves us with 60.
Bring next digit (3) of the dividend behind the 60 and repeat the process: 603 / 65

Moving on to step 3:
If we divide 603 by 65, we get 9 and a remainder of 18.
Record the quotient 9 as the next digit in the result. 
Result so far: 9.0
Subtracting 585 from 603 leaves us with 18.
Take the next digit (0) from the dividend and append it to 18, then repeat: 180 / 65

Advancing to step 4:
65 goes into 180 2 times with a remainder of 50.
Record the quotient 2 as the next digit in the result. 
Result so far: 92.0
Subtract 130 from 180 to get 50.
Take the next digit (9) from the dividend and append it to 50, then repeat: 509 / 65

Step 5:
The number 65 fits into 509 7 times, leaving a remainder of 54.
The next digit of our result is 7. 
Result so far: 927.0
If we subtract 455 from 509, we get 54.
Grab the next digit (7) from the dividend, add it to 54, then carry on: 547 / 65

Let's proceed to step 6:
65 goes into 547 8 times with a remainder of 27.
Write down 8 as next digit of the result. 
Result so far: 9278.0
Subtract 520 from 547 to get 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

On to step 7:
The number 65 fits into 270 4 times, leaving a remainder of 10.
The number 4 becomes the next digit in our result. 
Result so far: 9278.4
Subtracting 260 from 270 leaves us 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.

Step 8:
65 goes into 100 1 times with a remainder of 35.
Write down 1 as next digit of the result. 
Result so far: 9278.41
If we take 65 away from 100, we end up with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

On to step 9:
65 goes into 350 5 times with a remainder of 25.
Put 5 as the next digit of the answer. 
Result so far: 9278.415
Subtracting 325 from 350 leaves us 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.

Moving on to step 10:
When dividing 250 by 65, we get 3 with a remainder of 55.
The next digit of our result is 3. 
Result so far: 9278.4153
If we subtract 195 from 250, we 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.

Step 11:
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: 9278.41538
Subtract 520 from 550 to 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.

On to step 12:
300 divided by 65 is 4 with a remainder of 40.
The next digit of our result is 4. 
Result so far: 9278.415384
Deduct 260 from 300 and we're left 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.

On to step 13:
65 can be fit into 400 6 times, resulting in a remainder of 10.
Put 6 as the next digit of the answer. 
Result so far: 9278.4153846
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.

Going ahead to step 14:
When dividing 100 by 65, we get 1 with a remainder of 35.
Put 1 as the next digit of the answer. 
Result so far: 9278.41538461
Subtracting 65 from 100 leaves us with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

After the division, we end up with 9278.41538461 and a remainder of 3.5e-08.