Let's divide 26838 by 65
Our goal is to divide 26838 by 65.

Going ahead to step 1:
The number 65 fits into 2 0 times, leaving a remainder of 2.
Record the quotient 0 as the next digit in the 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:
The number 65 fits into 26 0 times, leaving a remainder of 26.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 26 to get 26.
Fetch the next digit (8) from the dividend, attach it to 26 and continue: 268 / 65

On to step 3:
268 divided by 65 is 4 with a remainder of 8.
Write down 4 as next digit of the result. 
Result so far: 4.0
If we subtract 260 from 268, we get 8.
Fetch the next digit (3) from the dividend, attach it to 8 and continue: 83 / 65

Step 4:
65 goes into 83 1 times with a remainder of 18.
The number 1 becomes the next digit in our result. 
Result so far: 41.0
If we subtract 65 from 83, we get 18.
Fetch the next digit (8) from the dividend, attach it to 18 and continue: 188 / 65

Step 5:
The number 65 fits into 188 2 times, leaving a remainder of 58.
Use 2 as the next digit of our solution. 
Result so far: 412.0
If we take 130 away from 188, we end up with 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Moving on to step 6:
65 can be fit into 580 8 times, resulting in a remainder of 60.
Put 8 as the next digit of the answer. 
Result so far: 412.8
Subtracting 520 from 580 leaves us 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 7:
600 divided by 65 is 9 with a remainder of 15.
Write down 9 as next digit of the result. 
Result so far: 412.89
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.

Step 8:
65 goes into 150 2 times with a remainder of 20.
Write down 2 as next digit of the result. 
Result so far: 412.892
The remainder is 20 after subtracting 130 from 150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 9:
65 goes into 200 3 times with a remainder of 5.
Write down 3 as next digit of the result. 
Result so far: 412.8923
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.

Going ahead to step 10:
When dividing 50 by 65, we get 0 with a remainder of 50.
The next digit of our result is 0. 
Result so far: 412.8923
Subtract 0 from 50 to get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

On to step 11:
The number 65 fits into 500 7 times, leaving a remainder of 45.
Use 7 as the next digit of our solution. 
Result so far: 412.892307
The remainder is 45 after subtracting 455 from 500.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

On to step 12:
450 divided by 65 is 6 with a remainder of 60.
Put 6 as the next digit of the answer. 
Result so far: 412.8923076
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 13:
When dividing 600 by 65, we get 9 with a remainder of 15.
The next digit of our result is 9. 
Result so far: 412.89230769
Deduct 585 from 600 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.

After the division, we end up with 412.89230769 and a remainder of 1.5e-08.