We're dividing 337003 by 65 
Let's see how many times 65 fits into 337003.

On to step 1:
If we divide 3 by 65, we get 0 and a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Grab the next digit (3) from the dividend, add it to 3, then carry on: 33 / 65

Going ahead to step 2:
65 goes into 33 0 times with a remainder of 33.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 33, we get 33.
Include the next digit (7) from the dividend after 33, then repeat: 337 / 65

Going ahead to step 3:
The number 65 fits into 337 5 times, leaving a remainder of 12.
The next digit of our result is 5. 
Result so far: 5.0
The remainder is 12 after subtracting 325 from 337.
Append the next digit (0) from the dividend to 12 and continue with: 120 / 65

Advancing to step 4:
65 goes into 120 1 times with a remainder of 55.
The number 1 becomes the next digit in our result. 
Result so far: 51.0
If we take 65 away from 120, we end up with 55.
Bring next digit (0) of the dividend behind the 55 and repeat the process: 550 / 65

On to step 5:
65 goes into 550 8 times with a remainder of 30.
The number 8 becomes the next digit in our result. 
Result so far: 518.0
If we subtract 520 from 550, we get 30.
Append the next digit (3) from the dividend to 30 and continue with: 303 / 65

On to step 6:
303 divided by 65 is 4 with a remainder of 43.
Put 4 as the next digit of the answer. 
Result so far: 5184.0
Subtracting 260 from 303 leaves us with 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Going ahead to step 7:
If we divide 430 by 65, we get 6 and a remainder of 40.
Write down 6 as next digit of the result. 
Result so far: 5184.6
Deduct 390 from 430 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.

Advancing to step 8:
400 divided by 65 is 6 with a remainder of 10.
Record the quotient 6 as the next digit in the result. 
Result so far: 5184.66
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 5184.66 with a remaining 0.01.