275829 ÷ 65 
Our goal is to divide 275829 by 65.

Step 1:
2 divided by 65 is 0 with a remainder of 2.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 2, we end up with 2.
Bring next digit (7) of the dividend behind the 2 and repeat the process: 27 / 65

Let's proceed to step 2:
The number 65 fits into 27 0 times, leaving a remainder of 27.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 27 and we're left with 27.
Append the next digit (5) from the dividend to 27 and continue with: 275 / 65

Let's proceed to step 3:
When dividing 275 by 65, we get 4 with a remainder of 15.
Use 4 as the next digit of our solution. 
Result so far: 4.0
Subtract 260 from 275 to get 15.
Append the next digit (8) from the dividend to 15 and continue with: 158 / 65

Let's proceed to step 4:
When dividing 158 by 65, we get 2 with a remainder of 28.
The next digit of our result is 2. 
Result so far: 42.0
Subtracting 130 from 158 leaves us with 28.
Bring next digit (2) of the dividend behind the 28 and repeat the process: 282 / 65

Moving on to step 5:
282 divided by 65 is 4 with a remainder of 22.
Record the quotient 4 as the next digit in the result. 
Result so far: 424.0
If we take 260 away from 282, we end up with 22.
Grab the next digit (9) from the dividend, add it to 22, then carry on: 229 / 65

Step 6:
65 can be fit into 229 3 times, resulting in a remainder of 34.
Record the quotient 3 as the next digit in the result. 
Result so far: 4243.0
Subtract 195 from 229 to get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Advancing to step 7:
65 goes into 340 5 times with a remainder of 15.
The next digit of our result is 5. 
Result so far: 4243.5
Deduct 325 from 340 and we're left with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Let's proceed to step 8:
150 divided by 65 is 2 with a remainder of 20.
Record the quotient 2 as the next digit in the result. 
Result so far: 4243.52
Deduct 130 from 150 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 9:
65 can be fit into 200 3 times, resulting in a remainder of 5.
The next digit of our result is 3. 
Result so far: 4243.523
The remainder is 5 after subtracting 195 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 10:
The number 65 fits into 50 0 times, leaving a remainder of 50.
Write down 0 as next digit of the result. 
Result so far: 4243.523
The remainder is 50 after subtracting 0 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Step 11:
The number 65 fits into 500 7 times, leaving a remainder of 45.
The next digit of our result is 7. 
Result so far: 4243.52307
If we subtract 455 from 500, we get 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Step 12:
65 can be fit into 450 6 times, resulting in a remainder of 60.
Use 6 as the next digit of our solution. 
Result so far: 4243.523076
If we take 390 away from 450, we end up with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Moving on to step 13:
If we divide 600 by 65, we get 9 and a remainder of 15.
Record the quotient 9 as the next digit in the result. 
Result so far: 4243.5230769
If we take 585 away from 600, we end up with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

On to step 14:
65 goes into 150 2 times with a remainder of 20.
Write down 2 as next digit of the result. 
Result so far: 4243.52307692
Subtract 130 from 150 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

The final result is 4243.52307692 with a remainder of 2e-08.