We're dividing 742616 by 13 
We're looking to find how many times 13 goes into 742616.

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
The remainder is 7 after subtracting 0 from 7.
Take the next digit (4) from the dividend and append it to 7, then repeat: 74 / 13

On 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
Deduct 65 from 74 and we're left with 9.
Include the next digit (2) from the dividend after 9, then repeat: 92 / 13

On to step 3:
13 goes into 92 7 times with a remainder of 1.
Write down 7 as next digit of the result. 
Result so far: 57.0
Subtracting 91 from 92 leaves us with 1.
Grab the next digit (6) from the dividend, add it to 1, then carry on: 16 / 13

Going ahead to step 4:
The number 13 fits into 16 1 times, leaving a remainder of 3.
The number 1 becomes the next digit in our result. 
Result so far: 571.0
The remainder is 3 after subtracting 13 from 16.
Fetch the next digit (1) from the dividend, attach it to 3 and continue: 31 / 13

Step 5:
If we divide 31 by 13, we get 2 and a remainder of 5.
The number 2 becomes the next digit in our result. 
Result so far: 5712.0
Deduct 26 from 31 and we're left with 5.
Take the next digit (6) from the dividend and append it to 5, then repeat: 56 / 13

Step 6:
The number 13 fits into 56 4 times, leaving a remainder of 4.
Put 4 as the next digit of the answer. 
Result so far: 57124.0
Subtract 52 from 56 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.

Step 7:
The number 13 fits into 40 3 times, leaving a remainder of 1.
The next digit of our result is 3. 
Result so far: 57124.3
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.

Let's proceed to step 8:
When dividing 10 by 13, we get 0 with a remainder of 10.
The next digit of our result is 0. 
Result so far: 57124.3
The remainder is 10 after subtracting 0 from 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 9:
13 goes into 100 7 times with a remainder of 9.
Record the quotient 7 as the next digit in the result. 
Result so far: 57124.307
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.

Step 10:
When dividing 90 by 13, we get 6 with a remainder of 12.
Write down 6 as next digit of the result. 
Result so far: 57124.3076
If we subtract 78 from 90, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Step 11:
When dividing 120 by 13, we get 9 with a remainder of 3.
Write down 9 as next digit of the result. 
Result so far: 57124.30769
If we take 117 away from 120, we end up 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.

Advancing to step 12:
The number 13 fits into 30 2 times, leaving a remainder of 4.
Put 2 as the next digit of the answer. 
Result so far: 57124.307692
Deduct 26 from 30 and we're left 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.

Step 13:
When dividing 40 by 13, we get 3 with a remainder of 1.
Put 3 as the next digit of the answer. 
Result so far: 57124.3076923
Deduct 39 from 40 and we're left 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.

Let's proceed to step 14:
10 divided by 13 is 0 with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 57124.3076923
If we take 0 away from 10, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

The quotient of the division is 57124.3076923, and the remainder is 1e-08.