We're dividing 203763 by 65 
Our goal is to divide 203763 by 65.

Going ahead to step 1:
65 can be fit into 2 0 times, resulting in a remainder of 2.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 2 to get 2.
Include the next digit (0) from the dividend after 2, then repeat: 20 / 65

Moving on to step 2:
65 can be fit into 20 0 times, resulting in a remainder of 20.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 20 after subtracting 0 from 20.
Grab the next digit (3) from the dividend, add it to 20, then carry on: 203 / 65

Going ahead to step 3:
If we divide 203 by 65, we get 3 and a remainder of 8.
The next digit of our result is 3. 
Result so far: 3.0
Deduct 195 from 203 and we're left with 8.
Include the next digit (7) from the dividend after 8, then repeat: 87 / 65

Let's proceed to step 4:
65 goes into 87 1 times with a remainder of 22.
Write down 1 as next digit of the result. 
Result so far: 31.0
If we take 65 away from 87, we end up with 22.
Fetch the next digit (6) from the dividend, attach it to 22 and continue: 226 / 65

Step 5:
65 goes into 226 3 times with a remainder of 31.
Write down 3 as next digit of the result. 
Result so far: 313.0
Subtracting 195 from 226 leaves us with 31.
Include the next digit (3) from the dividend after 31, then repeat: 313 / 65

Going ahead to step 6:
65 goes into 313 4 times with a remainder of 53.
The number 4 becomes the next digit in our result. 
Result so far: 3134.0
Subtract 260 from 313 to get 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

Advancing to step 7:
When dividing 530 by 65, we get 8 with a remainder of 10.
Use 8 as the next digit of our solution. 
Result so far: 3134.8
Subtract 520 from 530 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 8:
When dividing 100 by 65, we get 1 with a remainder of 35.
The number 1 becomes the next digit in our result. 
Result so far: 3134.81
Deduct 65 from 100 and we're left 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 can be fit into 350 5 times, resulting in a remainder of 25.
The number 5 becomes the next digit in our result. 
Result so far: 3134.815
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.

Let's proceed to step 10:
The number 65 fits into 250 3 times, leaving a remainder of 55.
The next digit of our result is 3. 
Result so far: 3134.8153
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:
If we divide 550 by 65, we get 8 and a remainder of 30.
Use 8 as the next digit of our solution. 
Result so far: 3134.81538
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 12:
65 goes into 300 4 times with a remainder of 40.
Put 4 as the next digit of the answer. 
Result so far: 3134.815384
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.

Let's proceed to step 13:
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: 3134.8153846
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.

On to step 14:
65 goes into 100 1 times with a remainder of 35.
Put 1 as the next digit of the answer. 
Result so far: 3134.81538461
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.

After the division, we end up with 3134.81538461 and a remainder of 3.5e-08.