We look at the division of 713914 by 13 
We're looking to find how many times 13 goes into 713914.

On to step 1:
13 can be fit into 7 0 times, resulting in a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 7, we get 7.
Grab the next digit (1) from the dividend, add it to 7, then carry on: 71 / 13

Advancing to step 2:
13 can be fit into 71 5 times, resulting in a remainder of 6.
Write down 5 as next digit of the result. 
Result so far: 5.0
Subtract 65 from 71 to get 6.
Include the next digit (3) from the dividend after 6, then repeat: 63 / 13

Moving on to step 3:
If we divide 63 by 13, we get 4 and a remainder of 11.
Write down 4 as next digit of the result. 
Result so far: 54.0
If we take 52 away from 63, we end up with 11.
Take the next digit (9) from the dividend and append it to 11, then repeat: 119 / 13

Advancing to step 4:
119 divided by 13 is 9 with a remainder of 2.
The number 9 becomes the next digit in our result. 
Result so far: 549.0
If we take 117 away from 119, we end up with 2.
Append the next digit (1) from the dividend to 2 and continue with: 21 / 13

On to step 5:
When dividing 21 by 13, we get 1 with a remainder of 8.
The number 1 becomes the next digit in our result. 
Result so far: 5491.0
Subtract 13 from 21 to get 8.
Include the next digit (4) from the dividend after 8, then repeat: 84 / 13

Step 6:
The number 13 fits into 84 6 times, leaving a remainder of 6.
The number 6 becomes the next digit in our result. 
Result so far: 54916.0
If we take 78 away from 84, we end up 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.

Going ahead to step 7:
If we divide 60 by 13, we get 4 and a remainder of 8.
Write down 4 as next digit of the result. 
Result so far: 54916.4
If we take 52 away from 60, we end up 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.

Moving on to step 8:
13 goes into 80 6 times with a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 54916.46
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.

Step 9:
20 divided by 13 is 1 with a remainder of 7.
Put 1 as the next digit of the answer. 
Result so far: 54916.461
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 10:
13 can be fit into 70 5 times, resulting in a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 54916.4615
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 11:
The number 13 fits into 50 3 times, leaving a remainder of 11.
Use 3 as the next digit of our solution. 
Result so far: 54916.46153
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.

Going ahead to step 12:
110 divided by 13 is 8 with a remainder of 6.
Use 8 as the next digit of our solution. 
Result so far: 54916.461538
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 13:
The number 13 fits into 60 4 times, leaving a remainder of 8.
Record the quotient 4 as the next digit in the result. 
Result so far: 54916.4615384
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.

Advancing to step 14:
13 can be fit into 80 6 times, resulting in a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 54916.46153846
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.

After the division, we end up with 54916.46153846 and a remainder of 2e-09.