82037 ÷ 13 
Let's see how many times 13 fits into 82037.

Step 1:
8 divided by 13 is 0 with a remainder of 8.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 8, we get 8.
Append the next digit (2) from the dividend to 8 and continue with: 82 / 13

Advancing to step 2:
The number 13 fits into 82 6 times, leaving a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 6.0
Subtract 78 from 82 to get 4.
Fetch the next digit (0) from the dividend, attach it to 4 and continue: 40 / 13

Step 3:
13 can be fit into 40 3 times, resulting in a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 63.0
The remainder is 1 after subtracting 39 from 40.
Fetch the next digit (3) from the dividend, attach it to 1 and continue: 13 / 13

Let's proceed to step 4:
13 can be fit into 13 1 times, resulting in a remainder of 0.
Use 1 as the next digit of our solution. 
Result so far: 631.0
The remainder is 0 after subtracting 13 from 13.
Include the next digit (7) from the dividend after 0, then repeat: 7 / 13

Advancing to step 5:
13 goes into 7 0 times with a remainder of 7.
Put 0 as the next digit of the answer. 
Result so far: 6310.0
Deduct 0 from 7 and we're left with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Advancing to step 6:
When dividing 70 by 13, we get 5 with a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 6310.5
Subtract 65 from 70 to 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.

Let's proceed to step 7:
When dividing 50 by 13, we get 3 with a remainder of 11.
Put 3 as the next digit of the answer. 
Result so far: 6310.53
Deduct 39 from 50 and we're left with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

On to step 8:
13 can be fit into 110 8 times, resulting in a remainder of 6.
Put 8 as the next digit of the answer. 
Result so far: 6310.538
If we subtract 104 from 110, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Going ahead to step 9:
13 goes into 60 4 times with a remainder of 8.
Put 4 as the next digit of the answer. 
Result so far: 6310.5384
The remainder is 8 after subtracting 52 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 10:
If we divide 80 by 13, we get 6 and a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 6310.53846
The remainder is 2 after subtracting 78 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 11:
13 can be fit into 20 1 times, resulting in a remainder of 7.
Write down 1 as next digit of the result. 
Result so far: 6310.538461
Subtract 13 from 20 to get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Going ahead to step 12:
When dividing 70 by 13, we get 5 with a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 6310.5384615
Subtracting 65 from 70 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.

Advancing to step 13:
13 goes into 50 3 times with a remainder of 11.
Write down 3 as next digit of the result. 
Result so far: 6310.53846153
Subtract 39 from 50 to get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

The final result is 6310.53846153 with a remainder of 1.1e-08.