We're dividing 261435 by 65 
Let's see how many times 65 fits into 261435.

Going ahead to step 1:
If we divide 2 by 65, we get 0 and a remainder of 2.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 2, we get 2.
Append the next digit (6) from the dividend to 2 and continue with: 26 / 65

Going ahead 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
If we subtract 0 from 26, we get 26.
Fetch the next digit (1) from the dividend, attach it to 26 and continue: 261 / 65

On to step 3:
The number 65 fits into 261 4 times, leaving a remainder of 1.
Write down 4 as next digit of the result. 
Result so far: 4.0
Subtracting 260 from 261 leaves us with 1.
Fetch the next digit (4) from the dividend, attach it to 1 and continue: 14 / 65

Moving on to step 4:
When dividing 14 by 65, we get 0 with a remainder of 14.
The number 0 becomes the next digit in our result. 
Result so far: 40.0
Subtract 0 from 14 to get 14.
Take the next digit (3) from the dividend and append it to 14, then repeat: 143 / 65

Moving on to step 5:
65 goes into 143 2 times with a remainder of 13.
Record the quotient 2 as the next digit in the result. 
Result so far: 402.0
If we take 130 away from 143, we end up with 13.
Include the next digit (5) from the dividend after 13, then repeat: 135 / 65

Going ahead to step 6:
When dividing 135 by 65, we get 2 with a remainder of 5.
The next digit of our result is 2. 
Result so far: 4022.0
Subtracting 130 from 135 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 7:
When dividing 50 by 65, we get 0 with a remainder of 50.
Use 0 as the next digit of our solution. 
Result so far: 4022.0
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.

Let's proceed to step 8:
If we divide 500 by 65, we get 7 and a remainder of 45.
The next digit of our result is 7. 
Result so far: 4022.07
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.

Advancing to step 9:
If we divide 450 by 65, we get 6 and a remainder of 60.
The next digit of our result is 6. 
Result so far: 4022.076
Deduct 390 from 450 and we're left 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.

Let's proceed to step 10:
600 divided by 65 is 9 with a remainder of 15.
Write down 9 as next digit of the result. 
Result so far: 4022.0769
Subtract 585 from 600 to get 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 11:
When dividing 150 by 65, we get 2 with a remainder of 20.
Write down 2 as next digit of the result. 
Result so far: 4022.07692
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.

Moving on to step 12:
When dividing 200 by 65, we get 3 with a remainder of 5.
Put 3 as the next digit of the answer. 
Result so far: 4022.076923
If we subtract 195 from 200, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 13:
65 goes into 50 0 times with a remainder of 50.
Record the quotient 0 as the next digit in the result. 
Result so far: 4022.076923
Subtracting 0 from 50 leaves us with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Moving on to step 14:
If we divide 500 by 65, we get 7 and a remainder of 45.
The next digit of our result is 7. 
Result so far: 4022.07692307
Subtract 455 from 500 to 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.

After the division, we end up with 4022.07692307 and a remainder of 4.5e-08.