81506 ÷ 65 
Our goal is to divide 81506 by 65.

Moving on to step 1:
65 goes into 8 0 times with a remainder of 8.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 8, we end up with 8.
Grab the next digit (1) from the dividend, add it to 8, then carry on: 81 / 65

Let's proceed to step 2:
When dividing 81 by 65, we get 1 with a remainder of 16.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtracting 65 from 81 leaves us with 16.
Grab the next digit (5) from the dividend, add it to 16, then carry on: 165 / 65

Step 3:
The number 65 fits into 165 2 times, leaving a remainder of 35.
Write down 2 as next digit of the result. 
Result so far: 12.0
Subtract 130 from 165 to get 35.
Take the next digit (0) from the dividend and append it to 35, then repeat: 350 / 65

Moving on to step 4:
350 divided by 65 is 5 with a remainder of 25.
Record the quotient 5 as the next digit in the result. 
Result so far: 125.0
The remainder is 25 after subtracting 325 from 350.
Grab the next digit (6) from the dividend, add it to 25, then carry on: 256 / 65

On to step 5:
65 goes into 256 3 times with a remainder of 61.
The number 3 becomes the next digit in our result. 
Result so far: 1253.0
If we take 195 away from 256, we end up with 61.
Since there are no more digits in the dividend, we add a zero to the remainder making it 610, and continue the process.

Let's proceed to step 6:
The number 65 fits into 610 9 times, leaving a remainder of 25.
The number 9 becomes the next digit in our result. 
Result so far: 1253.9
If we take 585 away from 610, we end up 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.

Step 7:
The number 65 fits into 250 3 times, leaving a remainder of 55.
Record the quotient 3 as the next digit in the result. 
Result so far: 1253.93
Deduct 195 from 250 and we're left with 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Step 8:
65 can be fit into 550 8 times, resulting in a remainder of 30.
Record the quotient 8 as the next digit in the result. 
Result so far: 1253.938
The remainder is 30 after subtracting 520 from 550.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Going ahead to step 9:
65 goes into 300 4 times with a remainder of 40.
Use 4 as the next digit of our solution. 
Result so far: 1253.9384
Subtract 260 from 300 to get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

On to step 10:
The number 65 fits into 400 6 times, leaving a remainder of 10.
The number 6 becomes the next digit in our result. 
Result so far: 1253.93846
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.

Moving on to step 11:
65 goes into 100 1 times with a remainder of 35.
Put 1 as the next digit of the answer. 
Result so far: 1253.938461
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.

Let's proceed to step 12:
When dividing 350 by 65, we get 5 with a remainder of 25.
Record the quotient 5 as the next digit in the result. 
Result so far: 1253.9384615
The remainder is 25 after subtracting 325 from 350.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

On to step 13:
When dividing 250 by 65, we get 3 with a remainder of 55.
Use 3 as the next digit of our solution. 
Result so far: 1253.93846153
Subtracting 195 from 250 leaves us with 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

The final result is 1253.93846153 with a remainder of 5.5e-08.