713627 divided by 13 
Our goal is to divide 713627 by 13.

Advancing to step 1:
When dividing 7 by 13, we get 0 with a remainder of 7.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 7, we end up with 7.
Append the next digit (1) from the dividend to 7 and continue with: 71 / 13

Advancing to step 2:
13 goes into 71 5 times with a remainder of 6.
Put 5 as the next digit of the answer. 
Result so far: 5.0
The remainder is 6 after subtracting 65 from 71.
Bring next digit (3) of the dividend behind the 6 and repeat the process: 63 / 13

Going ahead to step 3:
13 can be fit into 63 4 times, resulting in a remainder of 11.
Write down 4 as next digit of the result. 
Result so far: 54.0
Subtract 52 from 63 to get 11.
Fetch the next digit (6) from the dividend, attach it to 11 and continue: 116 / 13

Moving on to step 4:
If we divide 116 by 13, we get 8 and a remainder of 12.
The next digit of our result is 8. 
Result so far: 548.0
Subtract 104 from 116 to get 12.
Bring next digit (2) of the dividend behind the 12 and repeat the process: 122 / 13

On to step 5:
13 can be fit into 122 9 times, resulting in a remainder of 5.
The next digit of our result is 9. 
Result so far: 5489.0
Subtract 117 from 122 to get 5.
Append the next digit (7) from the dividend to 5 and continue with: 57 / 13

Advancing to step 6:
The number 13 fits into 57 4 times, leaving a remainder of 5.
Put 4 as the next digit of the answer. 
Result so far: 54894.0
Subtract 52 from 57 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:
13 goes into 50 3 times with a remainder of 11.
The next digit of our result is 3. 
Result so far: 54894.3
If we take 39 away from 50, we end up 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.

Step 8:
110 divided by 13 is 8 with a remainder of 6.
Record the quotient 8 as the next digit in the result. 
Result so far: 54894.38
If we take 104 away from 110, 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.

Let's proceed to step 9:
13 can be fit into 60 4 times, resulting in a remainder of 8.
Put 4 as the next digit of the answer. 
Result so far: 54894.384
Subtracting 52 from 60 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.

Let's proceed to step 10:
The number 13 fits into 80 6 times, leaving a remainder of 2.
The next digit of our result is 6. 
Result so far: 54894.3846
Subtracting 78 from 80 leaves us with 2.
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 goes into 20 1 times with a remainder of 7.
The number 1 becomes the next digit in our result. 
Result so far: 54894.38461
The remainder is 7 after subtracting 13 from 20.
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 12:
70 divided by 13 is 5 with a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 54894.384615
If we take 65 away from 70, we end up 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.

On to step 13:
The number 13 fits into 50 3 times, leaving a remainder of 11.
The next digit of our result is 3. 
Result so far: 54894.3846153
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.

Step 14:
13 can be fit into 110 8 times, resulting in a remainder of 6.
The next digit of our result is 8. 
Result so far: 54894.38461538
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.

The final result is 54894.38461538 with a remainder of 6e-09.