We look at the division of 742438 by 13 
We want to divide 742438 by 13.

Going ahead to step 1:
7 divided by 13 is 0 with a remainder of 7.
The number 0 becomes the next digit in our result. 
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

Advancing to step 2:
If we divide 74 by 13, we get 5 and a remainder of 9.
Use 5 as the next digit of our solution. 
Result so far: 5.0
If we subtract 65 from 74, we get 9.
Fetch the next digit (2) from the dividend, attach it to 9 and continue: 92 / 13

Going ahead to step 3:
92 divided by 13 is 7 with a remainder of 1.
The number 7 becomes the next digit in our result. 
Result so far: 57.0
Subtracting 91 from 92 leaves us with 1.
Include the next digit (4) from the dividend after 1, then repeat: 14 / 13

Advancing to step 4:
14 divided by 13 is 1 with a remainder of 1.
Put 1 as the next digit of the answer. 
Result so far: 571.0
Subtracting 13 from 14 leaves us with 1.
Bring next digit (3) of the dividend behind the 1 and repeat the process: 13 / 13

Step 5:
13 goes into 13 1 times with a remainder of 0.
Use 1 as the next digit of our solution. 
Result so far: 5711.0
The remainder is 0 after subtracting 13 from 13.
Fetch the next digit (8) from the dividend, attach it to 0 and continue: 8 / 13

Going ahead to step 6:
13 can be fit into 8 0 times, resulting in a remainder of 8.
Use 0 as the next digit of our solution. 
Result so far: 57110.0
If we take 0 away from 8, 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.

Let's proceed to step 7:
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: 57110.6
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.

Going ahead to step 8:
13 goes into 20 1 times with a remainder of 7.
The next digit of our result is 1. 
Result so far: 57110.61
If we take 13 away from 20, we end up 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.

Let's proceed to step 9:
The number 13 fits into 70 5 times, leaving a remainder of 5.
The next digit of our result is 5. 
Result so far: 57110.615
If we subtract 65 from 70, we 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.

Going ahead to step 10:
13 can be fit into 50 3 times, resulting in a remainder of 11.
The number 3 becomes the next digit in our result. 
Result so far: 57110.6153
The remainder is 11 after subtracting 39 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Let's proceed to step 11:
The number 13 fits into 110 8 times, leaving a remainder of 6.
The next digit of our result is 8. 
Result so far: 57110.61538
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.

Moving on to step 12:
13 can be fit into 60 4 times, resulting in a remainder of 8.
Record the quotient 4 as the next digit in the result. 
Result so far: 57110.615384
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.

Step 13:
80 divided by 13 is 6 with a remainder of 2.
Put 6 as the next digit of the answer. 
Result so far: 57110.6153846
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.

Advancing to step 14:
When dividing 20 by 13, we get 1 with a remainder of 7.
Use 1 as the next digit of our solution. 
Result so far: 57110.61538461
Subtracting 13 from 20 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.

The quotient of the division is 57110.61538461, and the remainder is 7e-09.