743758 ÷ 13 
Our goal is to divide 743758 by 13.

Going ahead to step 1:
If we divide 7 by 13, we get 0 and a remainder of 7.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 7, we end up with 7.
Fetch the next digit (4) from the dividend, attach it to 7 and continue: 74 / 13

On to step 2:
When dividing 74 by 13, we get 5 with a remainder of 9.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
Subtract 65 from 74 to get 9.
Append the next digit (3) from the dividend to 9 and continue with: 93 / 13

Let's proceed to 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
Subtract 91 from 93 to get 2.
Bring next digit (7) of the dividend behind the 2 and repeat the process: 27 / 13

Let's proceed to step 4:
When dividing 27 by 13, we get 2 with a remainder of 1.
The number 2 becomes the next digit in our result. 
Result so far: 572.0
If we subtract 26 from 27, we get 1.
Grab the next digit (5) from the dividend, add it to 1, then carry on: 15 / 13

Going ahead to step 5:
When dividing 15 by 13, we get 1 with a remainder of 2.
Use 1 as the next digit of our solution. 
Result so far: 5721.0
Deduct 13 from 15 and we're left with 2.
Append the next digit (8) from the dividend to 2 and continue with: 28 / 13

On to step 6:
The number 13 fits into 28 2 times, leaving a remainder of 2.
Record the quotient 2 as the next digit in the result. 
Result so far: 57212.0
Deduct 26 from 28 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 7:
13 can be fit into 20 1 times, resulting in a remainder of 7.
Record the quotient 1 as the next digit in the result. 
Result so far: 57212.1
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 8:
When dividing 70 by 13, we get 5 with a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 57212.15
Subtract 65 from 70 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 9:
13 goes into 50 3 times with a remainder of 11.
Put 3 as the next digit of the answer. 
Result so far: 57212.153
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 10:
13 goes into 110 8 times with a remainder of 6.
Record the quotient 8 as the next digit in the result. 
Result so far: 57212.1538
If we take 104 away from 110, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 11:
When dividing 60 by 13, we get 4 with a remainder of 8.
The next digit of our result is 4. 
Result so far: 57212.15384
The remainder is 8 after subtracting 52 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 12:
When dividing 80 by 13, we get 6 with a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 57212.153846
The remainder is 2 after subtracting 78 from 80.
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 13:
When dividing 20 by 13, we get 1 with a remainder of 7.
Record the quotient 1 as the next digit in the result. 
Result so far: 57212.1538461
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 14:
When dividing 70 by 13, we get 5 with a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 57212.15384615
Subtract 65 from 70 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

In conclusion, the division gives 57212.15384615 with a balance of 5e-09.