743835 ÷ 13 
We're looking to find how many times 13 goes into 743835.

On to step 1:
13 can be fit into 7 0 times, resulting in a remainder of 7.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 7, we get 7.
Fetch the next digit (4) from the dividend, attach it to 7 and continue: 74 / 13

Step 2:
74 divided by 13 is 5 with a remainder of 9.
The next digit of our result is 5. 
Result so far: 5.0
The remainder is 9 after subtracting 65 from 74.
Fetch the next digit (3) from the dividend, attach it to 9 and continue: 93 / 13

Step 3:
13 goes into 93 7 times with a remainder of 2.
Put 7 as the next digit of the answer. 
Result so far: 57.0
Deduct 91 from 93 and we're left with 2.
Fetch the next digit (8) from the dividend, attach it to 2 and continue: 28 / 13

Step 4:
If we divide 28 by 13, we get 2 and a remainder of 2.
Record the quotient 2 as the next digit in the result. 
Result so far: 572.0
Subtract 26 from 28 to get 2.
Append the next digit (3) from the dividend to 2 and continue with: 23 / 13

Step 5:
When dividing 23 by 13, we get 1 with a remainder of 10.
The next digit of our result is 1. 
Result so far: 5721.0
Subtracting 13 from 23 leaves us with 10.
Include the next digit (5) from the dividend after 10, then repeat: 105 / 13

Let's proceed to step 6:
When dividing 105 by 13, we get 8 with a remainder of 1.
Record the quotient 8 as the next digit in the result. 
Result so far: 57218.0
If we take 104 away from 105, we end up 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.

On to step 7:
When dividing 10 by 13, we get 0 with a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 57218.0
If we subtract 0 from 10, we 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.

On to step 8:
100 divided by 13 is 7 with a remainder of 9.
The number 7 becomes the next digit in our result. 
Result so far: 57218.07
Deduct 91 from 100 and we're left 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.

Going ahead to step 9:
The number 13 fits into 90 6 times, leaving a remainder of 12.
Write down 6 as next digit of the result. 
Result so far: 57218.076
Deduct 78 from 90 and we're left with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Going ahead to step 10:
The number 13 fits into 120 9 times, leaving a remainder of 3.
The number 9 becomes the next digit in our result. 
Result so far: 57218.0769
Subtracting 117 from 120 leaves us 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.

On to step 11:
13 can be fit into 30 2 times, resulting in a remainder of 4.
Use 2 as the next digit of our solution. 
Result so far: 57218.07692
Subtract 26 from 30 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 12:
13 can be fit into 40 3 times, resulting in a remainder of 1.
The next digit of our result is 3. 
Result so far: 57218.076923
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.

Moving on to step 13:
13 goes into 10 0 times with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 57218.076923
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.

Step 14:
If we divide 100 by 13, we get 7 and a remainder of 9.
Write down 7 as next digit of the result. 
Result so far: 57218.07692307
The remainder is 9 after subtracting 91 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

In conclusion, the division gives 57218.07692307 with a balance of 9e-09.