We look at the division of 742761 by 13 
Let's see how many times 13 fits into 742761.

Moving on to step 1:
7 divided by 13 is 0 with a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 7 and we're left with 7.
Fetch the next digit (4) from the dividend, attach it to 7 and continue: 74 / 13

Let's proceed to step 2:
74 divided by 13 is 5 with 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.
Include the next digit (2) from the dividend after 9, then repeat: 92 / 13

Let's proceed to step 3:
When dividing 92 by 13, we get 7 with a remainder of 1.
Put 7 as the next digit of the answer. 
Result so far: 57.0
The remainder is 1 after subtracting 91 from 92.
Append the next digit (7) from the dividend to 1 and continue with: 17 / 13

Advancing to step 4:
If we divide 17 by 13, we get 1 and a remainder of 4.
Put 1 as the next digit of the answer. 
Result so far: 571.0
If we take 13 away from 17, we end up with 4.
Fetch the next digit (6) from the dividend, attach it to 4 and continue: 46 / 13

Moving on to step 5:
The number 13 fits into 46 3 times, leaving a remainder of 7.
Record the quotient 3 as the next digit in the result. 
Result so far: 5713.0
If we take 39 away from 46, we end up with 7.
Grab the next digit (1) from the dividend, add it to 7, then carry on: 71 / 13

Moving on to step 6:
The number 13 fits into 71 5 times, leaving a remainder of 6.
Put 5 as the next digit of the answer. 
Result so far: 57135.0
If we subtract 65 from 71, 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.

Going ahead to step 7:
60 divided by 13 is 4 with a remainder of 8.
Use 4 as the next digit of our solution. 
Result so far: 57135.4
Subtract 52 from 60 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 8:
The number 13 fits into 80 6 times, leaving a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 57135.46
If we take 78 away from 80, we end up 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.

Step 9:
If we divide 20 by 13, we get 1 and a remainder of 7.
Use 1 as the next digit of our solution. 
Result so far: 57135.461
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.

Step 10:
If we divide 70 by 13, we get 5 and a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 57135.4615
If we take 65 away from 70, we end up 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.

On to step 11:
13 can be fit into 50 3 times, resulting in a remainder of 11.
Write down 3 as next digit of the result. 
Result so far: 57135.46153
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.

Going ahead to step 12:
When dividing 110 by 13, we get 8 with a remainder of 6.
Use 8 as the next digit of our solution. 
Result so far: 57135.461538
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.

Going ahead to step 13:
13 can be fit into 60 4 times, resulting in a remainder of 8.
Use 4 as the next digit of our solution. 
Result so far: 57135.4615384
Subtract 52 from 60 to get 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 14:
13 can be fit into 80 6 times, resulting in a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 57135.46153846
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.

The final result is 57135.46153846 with a remainder of 2e-09.