686945 divided by 13 
Let's see how many times 13 fits into 686945.

Going ahead to step 1:
The number 13 fits into 6 0 times, leaving a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Append the next digit (8) from the dividend to 6 and continue with: 68 / 13

Step 2:
13 goes into 68 5 times with a remainder of 3.
Put 5 as the next digit of the answer. 
Result so far: 5.0
The remainder is 3 after subtracting 65 from 68.
Grab the next digit (6) from the dividend, add it to 3, then carry on: 36 / 13

Step 3:
When dividing 36 by 13, we get 2 with a remainder of 10.
Put 2 as the next digit of the answer. 
Result so far: 52.0
Subtract 26 from 36 to get 10.
Grab the next digit (9) from the dividend, add it to 10, then carry on: 109 / 13

Going ahead to step 4:
When dividing 109 by 13, we get 8 with a remainder of 5.
Put 8 as the next digit of the answer. 
Result so far: 528.0
The remainder is 5 after subtracting 104 from 109.
Include the next digit (4) from the dividend after 5, then repeat: 54 / 13

On to step 5:
When dividing 54 by 13, we get 4 with a remainder of 2.
Write down 4 as next digit of the result. 
Result so far: 5284.0
Subtract 52 from 54 to get 2.
Append the next digit (5) from the dividend to 2 and continue with: 25 / 13

Step 6:
The number 13 fits into 25 1 times, leaving a remainder of 12.
Put 1 as the next digit of the answer. 
Result so far: 52841.0
Deduct 13 from 25 and we're left with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Step 7:
13 goes into 120 9 times with a remainder of 3.
The number 9 becomes the next digit in our result. 
Result so far: 52841.9
The remainder is 3 after subtracting 117 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

On to step 8:
If we divide 30 by 13, we get 2 and a remainder of 4.
Write down 2 as next digit of the result. 
Result so far: 52841.92
Subtracting 26 from 30 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 9:
If we divide 40 by 13, we get 3 and a remainder of 1.
Record the quotient 3 as the next digit in the result. 
Result so far: 52841.923
If we subtract 39 from 40, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Going ahead to step 10:
The number 13 fits into 10 0 times, leaving a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 52841.923
Subtracting 0 from 10 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.

Moving on to step 11:
The number 13 fits into 100 7 times, leaving a remainder of 9.
Put 7 as the next digit of the answer. 
Result so far: 52841.92307
Subtract 91 from 100 to get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Going ahead to step 12:
13 can be fit into 90 6 times, resulting in a remainder of 12.
The next digit of our result is 6. 
Result so far: 52841.923076
Subtracting 78 from 90 leaves us with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Advancing to step 13:
When dividing 120 by 13, we get 9 with a remainder of 3.
The number 9 becomes the next digit in our result. 
Result so far: 52841.9230769
Subtract 117 from 120 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Moving on to step 14:
30 divided by 13 is 2 with a remainder of 4.
Put 2 as the next digit of the answer. 
Result so far: 52841.92307692
Subtracting 26 from 30 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

After the division, we end up with 52841.92307692 and a remainder of 4e-09.