We're dividing 782841 by 13 
We want to figure out the number of times 782841 can be divided by 13.

On to step 1:
13 can be fit into 7 0 times, resulting in a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 7 to get 7.
Bring next digit (8) of the dividend behind the 7 and repeat the process: 78 / 13

On to step 2:
78 divided by 13 is 6 with a remainder of 0.
Write down 6 as next digit of the result. 
Result so far: 6.0
If we take 78 away from 78, we end up with 0.
Grab the next digit (2) from the dividend, add it to 0, then carry on: 2 / 13

Step 3:
13 can be fit into 2 0 times, resulting in a remainder of 2.
Write down 0 as next digit of the result. 
Result so far: 60.0
Deduct 0 from 2 and we're left with 2.
Bring next digit (8) of the dividend behind the 2 and repeat the process: 28 / 13

Step 4:
When dividing 28 by 13, we get 2 with a remainder of 2.
Write down 2 as next digit of the result. 
Result so far: 602.0
Subtract 26 from 28 to get 2.
Take the next digit (4) from the dividend and append it to 2, then repeat: 24 / 13

On to step 5:
If we divide 24 by 13, we get 1 and a remainder of 11.
The next digit of our result is 1. 
Result so far: 6021.0
The remainder is 11 after subtracting 13 from 24.
Append the next digit (1) from the dividend to 11 and continue with: 111 / 13

On to step 6:
When dividing 111 by 13, we get 8 with a remainder of 7.
Put 8 as the next digit of the answer. 
Result so far: 60218.0
Subtracting 104 from 111 leaves us 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 7:
13 goes into 70 5 times with a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 60218.5
The remainder is 5 after subtracting 65 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 8:
When dividing 50 by 13, we get 3 with a remainder of 11.
Record the quotient 3 as the next digit in the result. 
Result so far: 60218.53
If we subtract 39 from 50, we get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Moving on to step 9:
The number 13 fits into 110 8 times, leaving a remainder of 6.
Use 8 as the next digit of our solution. 
Result so far: 60218.538
If we subtract 104 from 110, we 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.

Advancing to step 10:
When dividing 60 by 13, we get 4 with a remainder of 8.
Put 4 as the next digit of the answer. 
Result so far: 60218.5384
If we take 52 away from 60, we end up 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:
The number 13 fits into 80 6 times, leaving a remainder of 2.
Put 6 as the next digit of the answer. 
Result so far: 60218.53846
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.

Let's proceed to step 12:
If we divide 20 by 13, we get 1 and a remainder of 7.
Use 1 as the next digit of our solution. 
Result so far: 60218.538461
Subtract 13 from 20 to 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.

Step 13:
13 can be fit into 70 5 times, resulting in a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 60218.5384615
The remainder is 5 after subtracting 65 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 14:
13 goes into 50 3 times with a remainder of 11.
The next digit of our result is 3. 
Result so far: 60218.53846153
Subtract 39 from 50 to get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

The final outcome is 60218.53846153, with a leftover of 1.1e-08.