Let's divide 355963 by 65
We're looking to find how many times 65 goes into 355963.

Step 1:
3 divided by 65 is 0 with a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Append the next digit (5) from the dividend to 3 and continue with: 35 / 65

On to step 2:
The number 65 fits into 35 0 times, leaving a remainder of 35.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 35 after subtracting 0 from 35.
Take the next digit (5) from the dividend and append it to 35, then repeat: 355 / 65

On to step 3:
355 divided by 65 is 5 with a remainder of 30.
Use 5 as the next digit of our solution. 
Result so far: 5.0
The remainder is 30 after subtracting 325 from 355.
Include the next digit (9) from the dividend after 30, then repeat: 309 / 65

On to step 4:
When dividing 309 by 65, we get 4 with a remainder of 49.
The next digit of our result is 4. 
Result so far: 54.0
Subtracting 260 from 309 leaves us with 49.
Take the next digit (6) from the dividend and append it to 49, then repeat: 496 / 65

On to step 5:
The number 65 fits into 496 7 times, leaving a remainder of 41.
Put 7 as the next digit of the answer. 
Result so far: 547.0
Subtract 455 from 496 to get 41.
Grab the next digit (3) from the dividend, add it to 41, then carry on: 413 / 65

Moving on to step 6:
When dividing 413 by 65, we get 6 with a remainder of 23.
Put 6 as the next digit of the answer. 
Result so far: 5476.0
Subtracting 390 from 413 leaves us with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Advancing to step 7:
65 goes into 230 3 times with a remainder of 35.
The next digit of our result is 3. 
Result so far: 5476.3
If we take 195 away from 230, 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.

Let's proceed to step 8:
65 can be fit into 350 5 times, resulting in a remainder of 25.
Put 5 as the next digit of the answer. 
Result so far: 5476.35
If we take 325 away from 350, we end up 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 9:
If we divide 250 by 65, we get 3 and a remainder of 55.
Write down 3 as next digit of the result. 
Result so far: 5476.353
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.

Let's proceed to step 10:
65 goes into 550 8 times with a remainder of 30.
Write down 8 as next digit of the result. 
Result so far: 5476.3538
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.

On to step 11:
300 divided by 65 is 4 with a remainder of 40.
Use 4 as the next digit of our solution. 
Result so far: 5476.35384
Subtracting 260 from 300 leaves us 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.

Moving on to step 12:
400 divided by 65 is 6 with a remainder of 10.
The number 6 becomes the next digit in our result. 
Result so far: 5476.353846
If we subtract 390 from 400, we 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.

Advancing to step 13:
65 goes into 100 1 times with a remainder of 35.
The number 1 becomes the next digit in our result. 
Result so far: 5476.3538461
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.

Let's proceed to step 14:
65 can be fit into 350 5 times, resulting in a remainder of 25.
Record the quotient 5 as the next digit in the result. 
Result so far: 5476.35384615
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.

The final result is 5476.35384615 with a remainder of 2.5e-08.