We're dividing 708213 by 13 
Let's see how many times 13 fits into 708213.

Advancing to step 1:
When dividing 7 by 13, we get 0 with a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 7, we get 7.
Fetch the next digit (0) from the dividend, attach it to 7 and continue: 70 / 13

Moving on to step 2:
If we divide 70 by 13, we get 5 and a remainder of 5.
The next digit of our result is 5. 
Result so far: 5.0
If we take 65 away from 70, we end up with 5.
Append the next digit (8) from the dividend to 5 and continue with: 58 / 13

Let's proceed to step 3:
13 can be fit into 58 4 times, resulting in a remainder of 6.
The number 4 becomes the next digit in our result. 
Result so far: 54.0
The remainder is 6 after subtracting 52 from 58.
Fetch the next digit (2) from the dividend, attach it to 6 and continue: 62 / 13

Moving on to step 4:
62 divided by 13 is 4 with a remainder of 10.
Put 4 as the next digit of the answer. 
Result so far: 544.0
The remainder is 10 after subtracting 52 from 62.
Fetch the next digit (1) from the dividend, attach it to 10 and continue: 101 / 13

Moving on to step 5:
101 divided by 13 is 7 with a remainder of 10.
Record the quotient 7 as the next digit in the result. 
Result so far: 5447.0
If we subtract 91 from 101, we get 10.
Bring next digit (3) of the dividend behind the 10 and repeat the process: 103 / 13

On to step 6:
The number 13 fits into 103 7 times, leaving a remainder of 12.
Put 7 as the next digit of the answer. 
Result so far: 54477.0
Subtracting 91 from 103 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.

Let's proceed to step 7:
13 can be fit into 120 9 times, resulting in a remainder of 3.
Record the quotient 9 as the next digit in the result. 
Result so far: 54477.9
If we take 117 away from 120, we end up 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.

Advancing to step 8:
When dividing 30 by 13, we get 2 with a remainder of 4.
Record the quotient 2 as the next digit in the result. 
Result so far: 54477.92
The remainder is 4 after subtracting 26 from 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 9:
If we divide 40 by 13, we get 3 and a remainder of 1.
The next digit of our result is 3. 
Result so far: 54477.923
If we take 39 away from 40, we end up 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.

Step 10:
10 divided by 13 is 0 with a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 54477.923
The remainder is 10 after subtracting 0 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 11:
If we divide 100 by 13, we get 7 and a remainder of 9.
Write down 7 as next digit of the result. 
Result so far: 54477.92307
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.

Step 12:
13 goes into 90 6 times with a remainder of 12.
Write down 6 as next digit of the result. 
Result so far: 54477.923076
If we subtract 78 from 90, we 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.

Let's proceed to step 13:
120 divided by 13 is 9 with a remainder of 3.
Record the quotient 9 as the next digit in the result. 
Result so far: 54477.9230769
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.

Advancing to step 14:
If we divide 30 by 13, we get 2 and a remainder of 4.
Use 2 as the next digit of our solution. 
Result so far: 54477.92307692
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.

The final result is 54477.92307692 with a remainder of 4e-09.