742784 ÷ 13 
We're looking to find how many times 13 goes into 742784.

Let's proceed to step 1:
13 goes into 7 0 times with a remainder of 7.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 7 leaves us with 7.
Bring next digit (4) of the dividend behind the 7 and repeat the process: 74 / 13

On to step 2:
When dividing 74 by 13, we get 5 with a remainder of 9.
Write down 5 as next digit of the result. 
Result so far: 5.0
Deduct 65 from 74 and we're left with 9.
Grab the next digit (2) from the dividend, add it to 9, then carry on: 92 / 13

Let's proceed to step 3:
13 can be fit into 92 7 times, resulting in a remainder of 1.
Use 7 as the next digit of our solution. 
Result so far: 57.0
If we subtract 91 from 92, we get 1.
Include the next digit (7) from the dividend after 1, then repeat: 17 / 13

Advancing to step 4:
The number 13 fits into 17 1 times, leaving a remainder of 4.
The next digit of our result is 1. 
Result so far: 571.0
If we take 13 away from 17, we end up with 4.
Bring next digit (8) of the dividend behind the 4 and repeat the process: 48 / 13

Step 5:
When dividing 48 by 13, we get 3 with a remainder of 9.
Use 3 as the next digit of our solution. 
Result so far: 5713.0
Subtract 39 from 48 to get 9.
Grab the next digit (4) from the dividend, add it to 9, then carry on: 94 / 13

Moving on to step 6:
13 can be fit into 94 7 times, resulting in a remainder of 3.
The next digit of our result is 7. 
Result so far: 57137.0
The remainder is 3 after subtracting 91 from 94.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

On to step 7:
13 goes into 30 2 times with a remainder of 4.
Put 2 as the next digit of the answer. 
Result so far: 57137.2
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 8:
The number 13 fits into 40 3 times, leaving a remainder of 1.
The number 3 becomes the next digit in our result. 
Result so far: 57137.23
Subtracting 39 from 40 leaves us with 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 9:
If we divide 10 by 13, we get 0 and a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 57137.23
Subtract 0 from 10 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 10:
100 divided by 13 is 7 with a remainder of 9.
Record the quotient 7 as the next digit in the result. 
Result so far: 57137.2307
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.

Advancing to step 11:
90 divided by 13 is 6 with a remainder of 12.
The next digit of our result is 6. 
Result so far: 57137.23076
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 12:
120 divided by 13 is 9 with a remainder of 3.
Use 9 as the next digit of our solution. 
Result so far: 57137.230769
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.

Advancing to step 13:
The number 13 fits into 30 2 times, leaving a remainder of 4.
The number 2 becomes the next digit in our result. 
Result so far: 57137.2307692
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.

On to step 14:
The number 13 fits into 40 3 times, leaving a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 57137.23076923
Subtract 39 from 40 to 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.

In conclusion, the division gives 57137.23076923 with a balance of 1e-09.