We look at the division of 913413 by 13 
Our goal is to divide 913413 by 13.

Moving on to step 1:
13 goes into 9 0 times with a remainder of 9.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 9 and we're left with 9.
Fetch the next digit (1) from the dividend, attach it to 9 and continue: 91 / 13

On to step 2:
13 goes into 91 7 times with a remainder of 0.
Put 7 as the next digit of the answer. 
Result so far: 7.0
Subtract 91 from 91 to get 0.
Take the next digit (3) from the dividend and append it to 0, then repeat: 3 / 13

Let's proceed to step 3:
If we divide 3 by 13, we get 0 and a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 70.0
If we take 0 away from 3, we end up with 3.
Append the next digit (4) from the dividend to 3 and continue with: 34 / 13

Moving on to step 4:
13 can be fit into 34 2 times, resulting in a remainder of 8.
Record the quotient 2 as the next digit in the result. 
Result so far: 702.0
The remainder is 8 after subtracting 26 from 34.
Bring next digit (1) of the dividend behind the 8 and repeat the process: 81 / 13

On to step 5:
If we divide 81 by 13, we get 6 and a remainder of 3.
Put 6 as the next digit of the answer. 
Result so far: 7026.0
If we take 78 away from 81, we end up with 3.
Take the next digit (3) from the dividend and append it to 3, then repeat: 33 / 13

Step 6:
If we divide 33 by 13, we get 2 and a remainder of 7.
Write down 2 as next digit of the result. 
Result so far: 70262.0
If we subtract 26 from 33, we 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.

Let's proceed to step 7:
13 can be fit into 70 5 times, resulting in a remainder of 5.
The next digit of our result is 5. 
Result so far: 70262.5
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 8:
When dividing 50 by 13, we get 3 with a remainder of 11.
Use 3 as the next digit of our solution. 
Result so far: 70262.53
The remainder is 11 after subtracting 39 from 50.
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 9:
110 divided by 13 is 8 with a remainder of 6.
Put 8 as the next digit of the answer. 
Result so far: 70262.538
Subtract 104 from 110 to 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 10:
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: 70262.5384
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.

Moving on to step 11:
80 divided by 13 is 6 with a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 70262.53846
If we subtract 78 from 80, we 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.

Moving on to step 12:
20 divided by 13 is 1 with a remainder of 7.
Record the quotient 1 as the next digit in the result. 
Result so far: 70262.538461
Deduct 13 from 20 and we're left with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Step 13:
The number 13 fits into 70 5 times, leaving a remainder of 5.
The next digit of our result is 5. 
Result so far: 70262.5384615
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.

Let's proceed to step 14:
13 goes into 50 3 times with a remainder of 11.
The number 3 becomes the next digit in our result. 
Result so far: 70262.53846153
The remainder is 11 after subtracting 39 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

After the division, we end up with 70262.53846153 and a remainder of 1.1e-08.