We're dividing 15266 by 65 
Our goal is to divide 15266 by 65.

Advancing to step 1:
1 divided by 65 is 0 with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Include the next digit (5) from the dividend after 1, then repeat: 15 / 65

Let's proceed to step 2:
When dividing 15 by 65, we get 0 with a remainder of 15.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 15 leaves us with 15.
Append the next digit (2) from the dividend to 15 and continue with: 152 / 65

Moving on to step 3:
65 goes into 152 2 times with a remainder of 22.
The next digit of our result is 2. 
Result so far: 2.0
If we subtract 130 from 152, we get 22.
Append the next digit (6) from the dividend to 22 and continue with: 226 / 65

On to step 4:
When dividing 226 by 65, we get 3 with a remainder of 31.
Use 3 as the next digit of our solution. 
Result so far: 23.0
Deduct 195 from 226 and we're left with 31.
Bring next digit (6) of the dividend behind the 31 and repeat the process: 316 / 65

Going ahead to step 5:
65 can be fit into 316 4 times, resulting in a remainder of 56.
Use 4 as the next digit of our solution. 
Result so far: 234.0
If we subtract 260 from 316, we get 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Advancing to step 6:
65 goes into 560 8 times with a remainder of 40.
Record the quotient 8 as the next digit in the result. 
Result so far: 234.8
If we take 520 away from 560, we end up 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.

Going ahead to step 7:
400 divided by 65 is 6 with a remainder of 10.
The next digit of our result is 6. 
Result so far: 234.86
Subtract 390 from 400 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:
100 divided by 65 is 1 with a remainder of 35.
Put 1 as the next digit of the answer. 
Result so far: 234.861
If we take 65 away from 100, 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.

Moving on to step 9:
The number 65 fits into 350 5 times, leaving a remainder of 25.
Record the quotient 5 as the next digit in the result. 
Result so far: 234.8615
If we subtract 325 from 350, we get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Going ahead to step 10:
250 divided by 65 is 3 with a remainder of 55.
The next digit of our result is 3. 
Result so far: 234.86153
Subtract 195 from 250 to get 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

On to step 11:
If we divide 550 by 65, we get 8 and a remainder of 30.
The number 8 becomes the next digit in our result. 
Result so far: 234.861538
Subtracting 520 from 550 leaves us with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Step 12:
If we divide 300 by 65, we get 4 and a remainder of 40.
Write down 4 as next digit of the result. 
Result so far: 234.8615384
If we take 260 away from 300, we end up 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.

Step 13:
The number 65 fits into 400 6 times, leaving a remainder of 10.
Record the quotient 6 as the next digit in the result. 
Result so far: 234.86153846
Subtracting 390 from 400 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

After the division, we end up with 234.86153846 and a remainder of 1e-08.