We look at the division of 263329 by 65 
We're looking to find how many times 65 goes into 263329.

Advancing to step 1:
65 goes into 2 0 times with a remainder of 2.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 2 and we're left with 2.
Bring next digit (6) of the dividend behind the 2 and repeat the process: 26 / 65

Let's proceed to step 2:
If we divide 26 by 65, we get 0 and a remainder of 26.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 26 leaves us with 26.
Append the next digit (3) from the dividend to 26 and continue with: 263 / 65

Let's proceed to step 3:
The number 65 fits into 263 4 times, leaving a remainder of 3.
The next digit of our result is 4. 
Result so far: 4.0
Subtract 260 from 263 to get 3.
Fetch the next digit (3) from the dividend, attach it to 3 and continue: 33 / 65

Step 4:
When dividing 33 by 65, we get 0 with a remainder of 33.
The number 0 becomes the next digit in our result. 
Result so far: 40.0
Subtracting 0 from 33 leaves us with 33.
Append the next digit (2) from the dividend to 33 and continue with: 332 / 65

On to step 5:
65 can be fit into 332 5 times, resulting in a remainder of 7.
The number 5 becomes the next digit in our result. 
Result so far: 405.0
If we subtract 325 from 332, we get 7.
Append the next digit (9) from the dividend to 7 and continue with: 79 / 65

Going ahead to step 6:
If we divide 79 by 65, we get 1 and a remainder of 14.
The next digit of our result is 1. 
Result so far: 4051.0
Subtract 65 from 79 to get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

On to step 7:
If we divide 140 by 65, we get 2 and a remainder of 10.
Put 2 as the next digit of the answer. 
Result so far: 4051.2
The remainder is 10 after subtracting 130 from 140.
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 8:
The number 65 fits into 100 1 times, leaving a remainder of 35.
The next digit of our result is 1. 
Result so far: 4051.21
The remainder is 35 after subtracting 65 from 100.
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 9:
65 goes into 350 5 times with a remainder of 25.
Use 5 as the next digit of our solution. 
Result so far: 4051.215
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.

Step 10:
250 divided by 65 is 3 with a remainder of 55.
Write down 3 as next digit of the result. 
Result so far: 4051.2153
The remainder is 55 after subtracting 195 from 250.
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:
The number 65 fits into 550 8 times, leaving a remainder of 30.
Write down 8 as next digit of the result. 
Result so far: 4051.21538
If we subtract 520 from 550, we 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.

Step 12:
The number 65 fits into 300 4 times, leaving a remainder of 40.
Use 4 as the next digit of our solution. 
Result so far: 4051.215384
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.

Going ahead to step 13:
If we divide 400 by 65, we get 6 and a remainder of 10.
Write down 6 as next digit of the result. 
Result so far: 4051.2153846
If we take 390 away from 400, we end up 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.

On to step 14:
When dividing 100 by 65, we get 1 with a remainder of 35.
Use 1 as the next digit of our solution. 
Result so far: 4051.21538461
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 4051.21538461 and a remainder of 3.5e-08.