We look at the division of 765724 by 13 
Our goal is to divide 765724 by 13.

Step 1:
If we divide 7 by 13, we get 0 and a remainder of 7.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 7 to get 7.
Take the next digit (6) from the dividend and append it to 7, then repeat: 76 / 13

Advancing to step 2:
13 goes into 76 5 times with a remainder of 11.
Put 5 as the next digit of the answer. 
Result so far: 5.0
Subtract 65 from 76 to get 11.
Fetch the next digit (5) from the dividend, attach it to 11 and continue: 115 / 13

Let's proceed to step 3:
13 goes into 115 8 times with a remainder of 11.
The number 8 becomes the next digit in our result. 
Result so far: 58.0
Subtract 104 from 115 to get 11.
Include the next digit (7) from the dividend after 11, then repeat: 117 / 13

On to step 4:
117 divided by 13 is 9 with a remainder of 0.
The number 9 becomes the next digit in our result. 
Result so far: 589.0
If we subtract 117 from 117, we get 0.
Append the next digit (2) from the dividend to 0 and continue with: 2 / 13

Moving on to step 5:
When dividing 2 by 13, we get 0 with a remainder of 2.
Use 0 as the next digit of our solution. 
Result so far: 5890.0
Deduct 0 from 2 and we're left with 2.
Take the next digit (4) from the dividend and append it to 2, then repeat: 24 / 13

Step 6:
24 divided by 13 is 1 with a remainder of 11.
Use 1 as the next digit of our solution. 
Result so far: 58901.0
Subtracting 13 from 24 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 7:
110 divided by 13 is 8 with a remainder of 6.
Record the quotient 8 as the next digit in the result. 
Result so far: 58901.8
Subtracting 104 from 110 leaves us 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 8:
13 goes into 60 4 times with a remainder of 8.
Put 4 as the next digit of the answer. 
Result so far: 58901.84
If we take 52 away from 60, 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.

Going ahead to step 9:
When dividing 80 by 13, we get 6 with a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 58901.846
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.

Moving on to step 10:
20 divided by 13 is 1 with a remainder of 7.
Write down 1 as next digit of the result. 
Result so far: 58901.8461
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 11:
If we divide 70 by 13, we get 5 and a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 58901.84615
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.

On to step 12:
13 goes into 50 3 times with a remainder of 11.
Put 3 as the next digit of the answer. 
Result so far: 58901.846153
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.

Step 13:
When dividing 110 by 13, we get 8 with a remainder of 6.
The next digit of our result is 8. 
Result so far: 58901.8461538
Deduct 104 from 110 and we're left 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 14:
60 divided by 13 is 4 with a remainder of 8.
The number 4 becomes the next digit in our result. 
Result so far: 58901.84615384
If we take 52 away from 60, 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.

After the division, we end up with 58901.84615384 and a remainder of 8e-09.