We divide 77505 by 13
Let's see how many times 13 fits into 77505.

Going ahead to 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
If we subtract 0 from 7, we get 7.
Take the next digit (7) from the dividend and append it to 7, then repeat: 77 / 13

Moving on to step 2:
The number 13 fits into 77 5 times, leaving a remainder of 12.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
The remainder is 12 after subtracting 65 from 77.
Include the next digit (5) from the dividend after 12, then repeat: 125 / 13

Let's proceed to step 3:
13 can be fit into 125 9 times, resulting in a remainder of 8.
Write down 9 as next digit of the result. 
Result so far: 59.0
Subtracting 117 from 125 leaves us with 8.
Append the next digit (0) from the dividend to 8 and continue with: 80 / 13

Let's proceed to step 4:
When dividing 80 by 13, we get 6 with a remainder of 2.
Write down 6 as next digit of the result. 
Result so far: 596.0
If we subtract 78 from 80, we get 2.
Bring next digit (5) of the dividend behind the 2 and repeat the process: 25 / 13

Going ahead to step 5:
25 divided by 13 is 1 with a remainder of 12.
Record the quotient 1 as the next digit in the result. 
Result so far: 5961.0
Subtract 13 from 25 to 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.

Let's proceed to step 6:
If we divide 120 by 13, we get 9 and a remainder of 3.
Use 9 as the next digit of our solution. 
Result so far: 5961.9
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.

Moving on to step 7:
13 goes into 30 2 times with a remainder of 4.
The number 2 becomes the next digit in our result. 
Result so far: 5961.92
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.

Let's proceed to step 8:
13 can be fit into 40 3 times, resulting in a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 5961.923
Subtracting 39 from 40 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.

On to step 9:
13 can be fit into 10 0 times, resulting in a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 5961.923
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.

Moving on to step 10:
13 can be fit into 100 7 times, resulting in a remainder of 9.
The number 7 becomes the next digit in our result. 
Result so far: 5961.92307
Subtracting 91 from 100 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.

Going ahead to step 11:
90 divided by 13 is 6 with a remainder of 12.
The next digit of our result is 6. 
Result so far: 5961.923076
Subtract 78 from 90 to 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.

Going ahead to step 12:
13 goes into 120 9 times with a remainder of 3.
The number 9 becomes the next digit in our result. 
Result so far: 5961.9230769
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.

Going ahead to step 13:
The number 13 fits into 30 2 times, leaving a remainder of 4.
Use 2 as the next digit of our solution. 
Result so far: 5961.92307692
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.

The final outcome is 5961.92307692, with a leftover of 4e-09.