We look at the division of 761757 by 13 
We're looking to find how many times 13 goes into 761757.

Let's proceed to step 1:
If we divide 7 by 13, we get 0 and 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.
Include the next digit (6) from the dividend after 7, then repeat: 76 / 13

Let's proceed to step 2:
The number 13 fits into 76 5 times, leaving a remainder of 11.
Write down 5 as next digit of the result. 
Result so far: 5.0
Subtract 65 from 76 to get 11.
Fetch the next digit (1) from the dividend, attach it to 11 and continue: 111 / 13

Step 3:
13 can be fit into 111 8 times, resulting in a remainder of 7.
Write down 8 as next digit of the result. 
Result so far: 58.0
If we take 104 away from 111, we end up with 7.
Grab the next digit (7) from the dividend, add it to 7, then carry on: 77 / 13

Moving on to step 4:
The number 13 fits into 77 5 times, leaving a remainder of 12.
Put 5 as the next digit of the answer. 
Result so far: 585.0
Subtract 65 from 77 to get 12.
Grab the next digit (5) from the dividend, add it to 12, then carry on: 125 / 13

Going ahead to step 5:
The number 13 fits into 125 9 times, leaving a remainder of 8.
The number 9 becomes the next digit in our result. 
Result so far: 5859.0
Deduct 117 from 125 and we're left with 8.
Fetch the next digit (7) from the dividend, attach it to 8 and continue: 87 / 13

Going ahead to step 6:
13 goes into 87 6 times with a remainder of 9.
Record the quotient 6 as the next digit in the result. 
Result so far: 58596.0
Subtracting 78 from 87 leaves us 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.

Advancing to step 7:
13 can be fit into 90 6 times, resulting in a remainder of 12.
Put 6 as the next digit of the answer. 
Result so far: 58596.6
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.

Moving on to step 8:
120 divided by 13 is 9 with a remainder of 3.
Write down 9 as next digit of the result. 
Result so far: 58596.69
The remainder is 3 after subtracting 117 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

On to step 9:
30 divided by 13 is 2 with a remainder of 4.
Put 2 as the next digit of the answer. 
Result so far: 58596.692
If we take 26 away from 30, we end up 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.

Let's proceed to step 10:
When dividing 40 by 13, we get 3 with a remainder of 1.
The number 3 becomes the next digit in our result. 
Result so far: 58596.6923
The remainder is 1 after subtracting 39 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Moving on to step 11:
13 can be fit into 10 0 times, resulting in a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 58596.6923
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 12:
13 can be fit into 100 7 times, resulting in a remainder of 9.
Use 7 as the next digit of our solution. 
Result so far: 58596.692307
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.

Advancing to step 13:
90 divided by 13 is 6 with a remainder of 12.
Write down 6 as next digit of the result. 
Result so far: 58596.6923076
Deduct 78 from 90 and we're left with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Let's proceed to step 14:
120 divided by 13 is 9 with a remainder of 3.
Use 9 as the next digit of our solution. 
Result so far: 58596.69230769
Deduct 117 from 120 and we're left 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.

Our division results in 58596.69230769 with a remaining 3e-09.