We divide 703270 by 13
Let's see how many times 13 fits into 703270.

On to step 1:
If we divide 7 by 13, we get 0 and a remainder of 7.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 7 and we're left with 7.
Bring next digit (0) of the dividend behind the 7 and repeat the process: 70 / 13

Going ahead to step 2:
If we divide 70 by 13, we get 5 and a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
Deduct 65 from 70 and we're left with 5.
Bring next digit (3) of the dividend behind the 5 and repeat the process: 53 / 13

Moving on to step 3:
53 divided by 13 is 4 with a remainder of 1.
Use 4 as the next digit of our solution. 
Result so far: 54.0
Subtracting 52 from 53 leaves us with 1.
Include the next digit (2) from the dividend after 1, then repeat: 12 / 13

Advancing to step 4:
When dividing 12 by 13, we get 0 with a remainder of 12.
The next digit of our result is 0. 
Result so far: 540.0
Deduct 0 from 12 and we're left with 12.
Include the next digit (7) from the dividend after 12, then repeat: 127 / 13

On to step 5:
13 goes into 127 9 times with a remainder of 10.
The number 9 becomes the next digit in our result. 
Result so far: 5409.0
The remainder is 10 after subtracting 117 from 127.
Bring next digit (0) of the dividend behind the 10 and repeat the process: 100 / 13

Going ahead to step 6:
The number 13 fits into 100 7 times, leaving a remainder of 9.
The next digit of our result is 7. 
Result so far: 54097.0
If we take 91 away from 100, we end up with 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:
If we divide 90 by 13, we get 6 and a remainder of 12.
Record the quotient 6 as the next digit in the result. 
Result so far: 54097.6
The remainder is 12 after subtracting 78 from 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

On to step 8:
120 divided by 13 is 9 with a remainder of 3.
The number 9 becomes the next digit in our result. 
Result so far: 54097.69
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.

Step 9:
13 can be fit into 30 2 times, resulting in a remainder of 4.
Use 2 as the next digit of our solution. 
Result so far: 54097.692
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.

Moving on to step 10:
If we divide 40 by 13, we get 3 and a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 54097.6923
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.

On to step 11:
If we divide 10 by 13, we get 0 and a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 54097.6923
Deduct 0 from 10 and we're left 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 12:
When dividing 100 by 13, we get 7 with a remainder of 9.
Use 7 as the next digit of our solution. 
Result so far: 54097.692307
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.

Moving on to step 13:
13 can be fit into 90 6 times, resulting in a remainder of 12.
Use 6 as the next digit of our solution. 
Result so far: 54097.6923076
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.

Let's proceed to step 14:
13 can be fit into 120 9 times, resulting in a remainder of 3.
Use 9 as the next digit of our solution. 
Result so far: 54097.69230769
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.

In conclusion, the division gives 54097.69230769 with a balance of 3e-09.