682131 divided by 13 
Let's see how many times 13 fits into 682131.

Let's proceed to step 1:
When dividing 6 by 13, we get 0 with a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Include the next digit (8) from the dividend after 6, then repeat: 68 / 13

Going ahead to step 2:
13 can be fit into 68 5 times, resulting in a remainder of 3.
Put 5 as the next digit of the answer. 
Result so far: 5.0
If we subtract 65 from 68, we get 3.
Include the next digit (2) from the dividend after 3, then repeat: 32 / 13

On to step 3:
13 can be fit into 32 2 times, resulting in a remainder of 6.
Write down 2 as next digit of the result. 
Result so far: 52.0
Subtract 26 from 32 to get 6.
Include the next digit (1) from the dividend after 6, then repeat: 61 / 13

Let's proceed to step 4:
61 divided by 13 is 4 with a remainder of 9.
The number 4 becomes the next digit in our result. 
Result so far: 524.0
If we subtract 52 from 61, we get 9.
Fetch the next digit (3) from the dividend, attach it to 9 and continue: 93 / 13

On to step 5:
The number 13 fits into 93 7 times, leaving a remainder of 2.
Put 7 as the next digit of the answer. 
Result so far: 5247.0
Subtracting 91 from 93 leaves us with 2.
Grab the next digit (1) from the dividend, add it to 2, then carry on: 21 / 13

On to step 6:
The number 13 fits into 21 1 times, leaving a remainder of 8.
Use 1 as the next digit of our solution. 
Result so far: 52471.0
Subtracting 13 from 21 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Going ahead to step 7:
When dividing 80 by 13, we get 6 with a remainder of 2.
Write down 6 as next digit of the result. 
Result so far: 52471.6
Subtract 78 from 80 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 8:
13 goes into 20 1 times with a remainder of 7.
Record the quotient 1 as the next digit in the result. 
Result so far: 52471.61
If we subtract 13 from 20, we 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.

Moving on to step 9:
If we divide 70 by 13, we get 5 and a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 52471.615
If we subtract 65 from 70, 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.

Advancing to step 10:
The number 13 fits into 50 3 times, leaving a remainder of 11.
Write down 3 as next digit of the result. 
Result so far: 52471.6153
Subtracting 39 from 50 leaves us 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.

Let's proceed to step 11:
110 divided by 13 is 8 with a remainder of 6.
The next digit of our result is 8. 
Result so far: 52471.61538
Deduct 104 from 110 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 12:
60 divided by 13 is 4 with a remainder of 8.
Record the quotient 4 as the next digit in the result. 
Result so far: 52471.615384
Subtract 52 from 60 to get 8.
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 13:
When dividing 80 by 13, we get 6 with a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 52471.6153846
If we subtract 78 from 80, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 14:
When dividing 20 by 13, we get 1 with a remainder of 7.
The number 1 becomes the next digit in our result. 
Result so far: 52471.61538461
Deduct 13 from 20 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.

The quotient of the division is 52471.61538461, and the remainder is 7e-09.