770814 ÷ 13 
We're looking to find how many times 13 goes into 770814.

On 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.
Fetch the next digit (7) from the dividend, attach it to 7 and continue: 77 / 13

Let's proceed to step 2:
The number 13 fits into 77 5 times, leaving a remainder of 12.
Write down 5 as next digit of the result. 
Result so far: 5.0
The remainder is 12 after subtracting 65 from 77.
Append the next digit (0) from the dividend to 12 and continue with: 120 / 13

Moving on to step 3:
When dividing 120 by 13, we get 9 with a remainder of 3.
The next digit of our result is 9. 
Result so far: 59.0
Subtract 117 from 120 to get 3.
Take the next digit (8) from the dividend and append it to 3, then repeat: 38 / 13

Step 4:
13 can be fit into 38 2 times, resulting in a remainder of 12.
Use 2 as the next digit of our solution. 
Result so far: 592.0
If we subtract 26 from 38, we get 12.
Fetch the next digit (1) from the dividend, attach it to 12 and continue: 121 / 13

On to step 5:
121 divided by 13 is 9 with a remainder of 4.
Put 9 as the next digit of the answer. 
Result so far: 5929.0
Subtracting 117 from 121 leaves us with 4.
Fetch the next digit (4) from the dividend, attach it to 4 and continue: 44 / 13

Moving on to step 6:
The number 13 fits into 44 3 times, leaving a remainder of 5.
The next digit of our result is 3. 
Result so far: 59293.0
If we subtract 39 from 44, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 7:
The number 13 fits into 50 3 times, leaving a remainder of 11.
Write down 3 as next digit of the result. 
Result so far: 59293.3
If we subtract 39 from 50, we 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.

Moving on to step 8:
13 goes into 110 8 times with a remainder of 6.
Put 8 as the next digit of the answer. 
Result so far: 59293.38
The remainder is 6 after subtracting 104 from 110.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

On to step 9:
13 goes into 60 4 times with a remainder of 8.
Use 4 as the next digit of our solution. 
Result so far: 59293.384
Subtract 52 from 60 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Step 10:
13 can be fit into 80 6 times, resulting in a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 59293.3846
The remainder is 2 after subtracting 78 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 11:
When dividing 20 by 13, we get 1 with a remainder of 7.
Record the quotient 1 as the next digit in the result. 
Result so far: 59293.38461
If we take 13 away from 20, we end up with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

On to step 12:
13 goes into 70 5 times with a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 59293.384615
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 13:
13 can be fit into 50 3 times, resulting in a remainder of 11.
Write down 3 as next digit of the result. 
Result so far: 59293.3846153
Subtracting 39 from 50 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.

Let's proceed to step 14:
13 can be fit into 110 8 times, resulting in a remainder of 6.
The number 8 becomes the next digit in our result. 
Result so far: 59293.38461538
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.

The final outcome is 59293.38461538, with a leftover of 6e-09.