We look at the division of 742345 by 13 
We want to figure out the number of times 742345 can be divided by 13.

Going ahead to step 1:
The number 13 fits into 7 0 times, leaving a remainder of 7.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 7 leaves us with 7.
Fetch the next digit (4) from the dividend, attach it to 7 and continue: 74 / 13

Let's proceed to step 2:
If we divide 74 by 13, we get 5 and a remainder of 9.
Put 5 as the next digit of the answer. 
Result so far: 5.0
If we take 65 away from 74, we end up with 9.
Include the next digit (2) from the dividend after 9, then repeat: 92 / 13

Step 3:
The number 13 fits into 92 7 times, leaving a remainder of 1.
Use 7 as the next digit of our solution. 
Result so far: 57.0
Subtracting 91 from 92 leaves us with 1.
Append the next digit (3) from the dividend to 1 and continue with: 13 / 13

Advancing to step 4:
If we divide 13 by 13, we get 1 and a remainder of 0.
Put 1 as the next digit of the answer. 
Result so far: 571.0
The remainder is 0 after subtracting 13 from 13.
Fetch the next digit (4) from the dividend, attach it to 0 and continue: 4 / 13

Moving on to step 5:
If we divide 4 by 13, we get 0 and a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 5710.0
If we subtract 0 from 4, we get 4.
Fetch the next digit (5) from the dividend, attach it to 4 and continue: 45 / 13

Let's proceed to step 6:
45 divided by 13 is 3 with a remainder of 6.
The next digit of our result is 3. 
Result so far: 57103.0
If we take 39 away from 45, 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.

On to step 7:
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: 57103.4
Subtracting 52 from 60 leaves us 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.

Moving on to step 8:
13 goes into 80 6 times with a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 57103.46
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.

Advancing to step 9:
The number 13 fits into 20 1 times, leaving a remainder of 7.
The next digit of our result is 1. 
Result so far: 57103.461
If we subtract 13 from 20, we 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.

On to step 10:
The number 13 fits into 70 5 times, leaving a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 57103.4615
Deduct 65 from 70 and we're left with 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 11:
50 divided by 13 is 3 with a remainder of 11.
The number 3 becomes the next digit in our result. 
Result so far: 57103.46153
Subtract 39 from 50 to get 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 12:
13 goes into 110 8 times with a remainder of 6.
Write down 8 as next digit of the result. 
Result so far: 57103.461538
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.

Step 13:
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: 57103.4615384
Subtracting 52 from 60 leaves us 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.

Going ahead to step 14:
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: 57103.46153846
Deduct 78 from 80 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.

The final result is 57103.46153846 with a remainder of 2e-09.