We look at the division of 759877 by 13 
We're looking to find how many times 13 goes into 759877.

On to step 1:
When dividing 7 by 13, we get 0 with a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 7 leaves us with 7.
Include the next digit (5) from the dividend after 7, then repeat: 75 / 13

On to step 2:
If we divide 75 by 13, we get 5 and a remainder of 10.
Put 5 as the next digit of the answer. 
Result so far: 5.0
Subtracting 65 from 75 leaves us with 10.
Append the next digit (9) from the dividend to 10 and continue with: 109 / 13

Moving on to step 3:
When dividing 109 by 13, we get 8 with a remainder of 5.
Use 8 as the next digit of our solution. 
Result so far: 58.0
Subtract 104 from 109 to get 5.
Append the next digit (8) from the dividend to 5 and continue with: 58 / 13

Going ahead to step 4:
If we divide 58 by 13, we get 4 and a remainder of 6.
Put 4 as the next digit of the answer. 
Result so far: 584.0
If we subtract 52 from 58, we get 6.
Append the next digit (7) from the dividend to 6 and continue with: 67 / 13

On to step 5:
67 divided by 13 is 5 with a remainder of 2.
Write down 5 as next digit of the result. 
Result so far: 5845.0
If we take 65 away from 67, we end up with 2.
Grab the next digit (7) from the dividend, add it to 2, then carry on: 27 / 13

Let's proceed to step 6:
If we divide 27 by 13, we get 2 and a remainder of 1.
The number 2 becomes the next digit in our result. 
Result so far: 58452.0
Subtracting 26 from 27 leaves us 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.

Going ahead to step 7:
If we divide 10 by 13, we get 0 and a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 58452.0
Deduct 0 from 10 and we're left 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.

Moving on to step 8:
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: 58452.07
If we take 91 away from 100, we end up 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 9:
If we divide 90 by 13, we get 6 and a remainder of 12.
The number 6 becomes the next digit in our result. 
Result so far: 58452.076
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.

Advancing to step 10:
120 divided by 13 is 9 with a remainder of 3.
Record the quotient 9 as the next digit in the result. 
Result so far: 58452.0769
Subtracting 117 from 120 leaves us 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.

On to step 11:
30 divided by 13 is 2 with a remainder of 4.
Record the quotient 2 as the next digit in the result. 
Result so far: 58452.07692
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 12:
40 divided by 13 is 3 with a remainder of 1.
The number 3 becomes the next digit in our result. 
Result so far: 58452.076923
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.

Step 13:
10 divided by 13 is 0 with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 58452.076923
Subtract 0 from 10 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 14:
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: 58452.07692307
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.

The quotient of the division is 58452.07692307, and the remainder is 9e-09.