260681 ÷ 82 
We want to figure out the number of times 260681 can be divided by 82.

Let's proceed to step 1:
82 goes into 2 0 times with a remainder of 2.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 2 leaves us with 2.
Append the next digit (6) from the dividend to 2 and continue with: 26 / 82

Let's proceed to step 2:
26 divided by 82 is 0 with a remainder of 26.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 26 leaves us with 26.
Include the next digit (0) from the dividend after 26, then repeat: 260 / 82

Going ahead to step 3:
The number 82 fits into 260 3 times, leaving a remainder of 14.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
The remainder is 14 after subtracting 246 from 260.
Include the next digit (6) from the dividend after 14, then repeat: 146 / 82

Advancing to step 4:
146 divided by 82 is 1 with a remainder of 64.
Put 1 as the next digit of the answer. 
Result so far: 31.0
Deduct 82 from 146 and we're left with 64.
Take the next digit (8) from the dividend and append it to 64, then repeat: 648 / 82

Advancing to step 5:
82 can be fit into 648 7 times, resulting in a remainder of 74.
Use 7 as the next digit of our solution. 
Result so far: 317.0
If we subtract 574 from 648, we get 74.
Fetch the next digit (1) from the dividend, attach it to 74 and continue: 741 / 82

Going ahead to step 6:
82 can be fit into 741 9 times, resulting in a remainder of 3.
Put 9 as the next digit of the answer. 
Result so far: 3179.0
Deduct 738 from 741 and we're left with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Step 7:
When dividing 30 by 82, we get 0 with a remainder of 30.
Record the quotient 0 as the next digit in the result. 
Result so far: 3179.0
Subtract 0 from 30 to get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Moving on to step 8:
82 goes into 300 3 times with a remainder of 54.
Record the quotient 3 as the next digit in the result. 
Result so far: 3179.03
The remainder is 54 after subtracting 246 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Let's proceed to step 9:
When dividing 540 by 82, we get 6 with a remainder of 48.
The number 6 becomes the next digit in our result. 
Result so far: 3179.036
Deduct 492 from 540 and we're left with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Moving on to step 10:
The number 82 fits into 480 5 times, leaving a remainder of 70.
Record the quotient 5 as the next digit in the result. 
Result so far: 3179.0365
Deduct 410 from 480 and we're left with 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Let's proceed to step 11:
If we divide 700 by 82, we get 8 and a remainder of 44.
Write down 8 as next digit of the result. 
Result so far: 3179.03658
Subtract 656 from 700 to get 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Moving on to step 12:
440 divided by 82 is 5 with a remainder of 30.
Write down 5 as next digit of the result. 
Result so far: 3179.036585
The remainder is 30 after subtracting 410 from 440.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Let's proceed to step 13:
The number 82 fits into 300 3 times, leaving a remainder of 54.
Use 3 as the next digit of our solution. 
Result so far: 3179.0365853
Subtracting 246 from 300 leaves us with 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Step 14:
If we divide 540 by 82, we get 6 and a remainder of 48.
Use 6 as the next digit of our solution. 
Result so far: 3179.03658536
Subtracting 492 from 540 leaves us with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

After the division, we end up with 3179.03658536 and a remainder of 4.8e-08.