We divide 687319 by 13
We're looking to find how many times 13 goes into 687319.

Going ahead to step 1:
13 goes into 6 0 times with a remainder of 6.
Use 0 as the next digit of our solution. 
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

Advancing to step 2:
When dividing 68 by 13, we get 5 with a remainder of 3.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
Deduct 65 from 68 and we're left with 3.
Fetch the next digit (7) from the dividend, attach it to 3 and continue: 37 / 13

Advancing to step 3:
13 goes into 37 2 times with a remainder of 11.
Put 2 as the next digit of the answer. 
Result so far: 52.0
Subtract 26 from 37 to get 11.
Bring next digit (3) of the dividend behind the 11 and repeat the process: 113 / 13

Going ahead to step 4:
13 goes into 113 8 times with a remainder of 9.
The number 8 becomes the next digit in our result. 
Result so far: 528.0
Deduct 104 from 113 and we're left with 9.
Append the next digit (1) from the dividend to 9 and continue with: 91 / 13

Going ahead to step 5:
When dividing 91 by 13, we get 7 with a remainder of 0.
The next digit of our result is 7. 
Result so far: 5287.0
The remainder is 0 after subtracting 91 from 91.
Append the next digit (9) from the dividend to 0 and continue with: 9 / 13

Step 6:
9 divided by 13 is 0 with a remainder of 9.
Put 0 as the next digit of the answer. 
Result so far: 52870.0
Subtract 0 from 9 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.

Step 7:
When dividing 90 by 13, we get 6 with a remainder of 12.
Write down 6 as next digit of the result. 
Result so far: 52870.6
Subtract 78 from 90 to get 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 8:
13 can be fit into 120 9 times, resulting in a remainder of 3.
The number 9 becomes the next digit in our result. 
Result so far: 52870.69
Subtracting 117 from 120 leaves us 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.

Moving on to step 9:
30 divided by 13 is 2 with a remainder of 4.
The next digit of our result is 2. 
Result so far: 52870.692
If we subtract 26 from 30, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 10:
13 can be fit into 40 3 times, resulting in a remainder of 1.
Put 3 as the next digit of the answer. 
Result so far: 52870.6923
Subtracting 39 from 40 leaves us with 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 11:
13 goes into 10 0 times with a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 52870.6923
If we subtract 0 from 10, 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.

Let's proceed to step 12:
When dividing 100 by 13, we get 7 with a remainder of 9.
Write down 7 as next digit of the result. 
Result so far: 52870.692307
If we subtract 91 from 100, we 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.

Let's proceed to step 13:
13 can be fit into 90 6 times, resulting in a remainder of 12.
Put 6 as the next digit of the answer. 
Result so far: 52870.6923076
Subtract 78 from 90 to get 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 14:
The number 13 fits into 120 9 times, leaving a remainder of 3.
Put 9 as the next digit of the answer. 
Result so far: 52870.69230769
Subtracting 117 from 120 leaves us 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.

Our division results in 52870.69230769 with a remaining 3e-09.