We're dividing 773782 by 13 
We're looking to find how many times 13 goes into 773782.

Moving on to step 1:
The number 13 fits into 7 0 times, leaving a remainder of 7.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 7 after subtracting 0 from 7.
Bring next digit (7) of the dividend behind the 7 and repeat the process: 77 / 13

On to step 2:
13 can be fit into 77 5 times, resulting in a remainder of 12.
The next digit of our result is 5. 
Result so far: 5.0
If we subtract 65 from 77, we get 12.
Bring next digit (3) of the dividend behind the 12 and repeat the process: 123 / 13

Advancing to step 3:
123 divided by 13 is 9 with a remainder of 6.
The next digit of our result is 9. 
Result so far: 59.0
If we subtract 117 from 123, we get 6.
Fetch the next digit (7) from the dividend, attach it to 6 and continue: 67 / 13

Step 4:
When dividing 67 by 13, we get 5 with a remainder of 2.
Write down 5 as next digit of the result. 
Result so far: 595.0
The remainder is 2 after subtracting 65 from 67.
Append the next digit (8) from the dividend to 2 and continue with: 28 / 13

On to step 5:
28 divided by 13 is 2 with a remainder of 2.
Use 2 as the next digit of our solution. 
Result so far: 5952.0
If we subtract 26 from 28, we get 2.
Take the next digit (2) from the dividend and append it to 2, then repeat: 22 / 13

Going ahead to step 6:
When dividing 22 by 13, we get 1 with a remainder of 9.
Put 1 as the next digit of the answer. 
Result so far: 59521.0
Subtracting 13 from 22 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.

Let's proceed to step 7:
When dividing 90 by 13, we get 6 with a remainder of 12.
Write down 6 as next digit of the result. 
Result so far: 59521.6
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.

On to step 8:
If we divide 120 by 13, we get 9 and a remainder of 3.
The number 9 becomes the next digit in our result. 
Result so far: 59521.69
If we subtract 117 from 120, we get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Advancing to step 9:
When dividing 30 by 13, we get 2 with a remainder of 4.
Use 2 as the next digit of our solution. 
Result so far: 59521.692
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.

Advancing to step 10:
If we divide 40 by 13, we get 3 and a remainder of 1.
The number 3 becomes the next digit in our result. 
Result so far: 59521.6923
If we take 39 away from 40, we end up 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 11:
The number 13 fits into 10 0 times, leaving a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 59521.6923
If we take 0 away from 10, we end up 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.

Going ahead to step 12:
The number 13 fits into 100 7 times, leaving a remainder of 9.
Put 7 as the next digit of the answer. 
Result so far: 59521.692307
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.

Moving on to step 13:
The number 13 fits into 90 6 times, leaving a remainder of 12.
Record the quotient 6 as the next digit in the result. 
Result so far: 59521.6923076
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.

Moving on to step 14:
When dividing 120 by 13, we get 9 with a remainder of 3.
The number 9 becomes the next digit in our result. 
Result so far: 59521.69230769
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.

The quotient of the division is 59521.69230769, and the remainder is 3e-09.