Let's divide 782313 by 13
We want to divide 782313 by 13.

Going ahead to step 1:
13 can be fit into 7 0 times, resulting in a remainder of 7.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 7 and we're left with 7.
Fetch the next digit (8) from the dividend, attach it to 7 and continue: 78 / 13

On to step 2:
13 goes into 78 6 times with a remainder of 0.
Use 6 as the next digit of our solution. 
Result so far: 6.0
The remainder is 0 after subtracting 78 from 78.
Bring next digit (2) of the dividend behind the 0 and repeat the process: 2 / 13

On to step 3:
When dividing 2 by 13, we get 0 with a remainder of 2.
The number 0 becomes the next digit in our result. 
Result so far: 60.0
If we subtract 0 from 2, we get 2.
Take the next digit (3) from the dividend and append it to 2, then repeat: 23 / 13

Moving on to step 4:
If we divide 23 by 13, we get 1 and a remainder of 10.
Write down 1 as next digit of the result. 
Result so far: 601.0
Subtracting 13 from 23 leaves us with 10.
Fetch the next digit (1) from the dividend, attach it to 10 and continue: 101 / 13

On to step 5:
101 divided by 13 is 7 with a remainder of 10.
Write down 7 as next digit of the result. 
Result so far: 6017.0
Deduct 91 from 101 and we're left with 10.
Include the next digit (3) from the dividend after 10, then repeat: 103 / 13

On to step 6:
The number 13 fits into 103 7 times, leaving a remainder of 12.
Write down 7 as next digit of the result. 
Result so far: 60177.0
The remainder is 12 after subtracting 91 from 103.
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 7:
13 goes into 120 9 times with a remainder of 3.
Put 9 as the next digit of the answer. 
Result so far: 60177.9
Deduct 117 from 120 and we're left 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.

Moving on to step 8:
When dividing 30 by 13, we get 2 with a remainder of 4.
The next digit of our result is 2. 
Result so far: 60177.92
Deduct 26 from 30 and we're left 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.

On to step 9:
The number 13 fits into 40 3 times, leaving a remainder of 1.
The next digit of our result is 3. 
Result so far: 60177.923
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.

Moving on to step 10:
If we divide 10 by 13, we get 0 and a remainder of 10.
The next digit of our result is 0. 
Result so far: 60177.923
Subtracting 0 from 10 leaves us 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 11:
13 goes into 100 7 times with a remainder of 9.
The next digit of our result is 7. 
Result so far: 60177.92307
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:
90 divided by 13 is 6 with a remainder of 12.
Write down 6 as next digit of the result. 
Result so far: 60177.923076
Subtract 78 from 90 to 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.

Step 13:
120 divided by 13 is 9 with a remainder of 3.
Write down 9 as next digit of the result. 
Result so far: 60177.9230769
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.

Let's proceed to step 14:
If we divide 30 by 13, we get 2 and a remainder of 4.
Write down 2 as next digit of the result. 
Result so far: 60177.92307692
If we take 26 away from 30, we end up 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 60177.92307692 with a remainder of 4e-09.