782724 divided by 13 
We want to figure out the number of times 782724 can be divided by 13.

Moving on to step 1:
When dividing 7 by 13, we get 0 with a remainder of 7.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 7 to get 7.
Append the next digit (8) from the dividend to 7 and continue with: 78 / 13

Moving on to step 2:
If we divide 78 by 13, we get 6 and a remainder of 0.
The next digit of our result is 6. 
Result so far: 6.0
The remainder is 0 after subtracting 78 from 78.
Append the next digit (2) from the dividend to 0 and continue with: 2 / 13

On to step 3:
The number 13 fits into 2 0 times, leaving a remainder of 2.
The number 0 becomes the next digit in our result. 
Result so far: 60.0
Subtract 0 from 2 to get 2.
Take the next digit (7) from the dividend and append it to 2, then repeat: 27 / 13

Going ahead to step 4:
13 goes into 27 2 times with a remainder of 1.
Record the quotient 2 as the next digit in the result. 
Result so far: 602.0
The remainder is 1 after subtracting 26 from 27.
Fetch the next digit (2) from the dividend, attach it to 1 and continue: 12 / 13

Step 5:
The number 13 fits into 12 0 times, leaving a remainder of 12.
Write down 0 as next digit of the result. 
Result so far: 6020.0
Deduct 0 from 12 and we're left with 12.
Take the next digit (4) from the dividend and append it to 12, then repeat: 124 / 13

Step 6:
13 can be fit into 124 9 times, resulting in a remainder of 7.
The next digit of our result is 9. 
Result so far: 60209.0
The remainder is 7 after subtracting 117 from 124.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Advancing to step 7:
If we divide 70 by 13, we get 5 and a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 60209.5
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.

On to step 8:
The number 13 fits into 50 3 times, leaving a remainder of 11.
Put 3 as the next digit of the answer. 
Result so far: 60209.53
Subtracting 39 from 50 leaves us with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

On to step 9:
When dividing 110 by 13, we get 8 with a remainder of 6.
Use 8 as the next digit of our solution. 
Result so far: 60209.538
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.

Moving on to step 10:
The number 13 fits into 60 4 times, leaving a remainder of 8.
Write down 4 as next digit of the result. 
Result so far: 60209.5384
If we subtract 52 from 60, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 11:
If we divide 80 by 13, we get 6 and a remainder of 2.
Use 6 as the next digit of our solution. 
Result so far: 60209.53846
Subtract 78 from 80 to 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.

On to step 12:
If we divide 20 by 13, we get 1 and a remainder of 7.
Record the quotient 1 as the next digit in the result. 
Result so far: 60209.538461
The remainder is 7 after subtracting 13 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Moving on to step 13:
If we divide 70 by 13, we get 5 and a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 60209.5384615
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.

On to step 14:
13 can be fit into 50 3 times, resulting in a remainder of 11.
Record the quotient 3 as the next digit in the result. 
Result so far: 60209.53846153
Deduct 39 from 50 and we're left with 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 quotient of the division is 60209.53846153, and the remainder is 1.1e-08.