We divide 778823 by 13
We're looking to find how many times 13 goes into 778823.

Step 1:
The number 13 fits into 7 0 times, leaving a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 7 after subtracting 0 from 7.
Grab the next digit (7) from the dividend, add it to 7, then carry on: 77 / 13

Moving on to step 2:
If we divide 77 by 13, we get 5 and a remainder of 12.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
Subtract 65 from 77 to get 12.
Fetch the next digit (8) from the dividend, attach it to 12 and continue: 128 / 13

On to step 3:
If we divide 128 by 13, we get 9 and a remainder of 11.
The number 9 becomes the next digit in our result. 
Result so far: 59.0
Deduct 117 from 128 and we're left with 11.
Grab the next digit (8) from the dividend, add it to 11, then carry on: 118 / 13

Moving on to step 4:
The number 13 fits into 118 9 times, leaving a remainder of 1.
Record the quotient 9 as the next digit in the result. 
Result so far: 599.0
If we subtract 117 from 118, we get 1.
Take the next digit (2) from the dividend and append it to 1, then repeat: 12 / 13

Advancing to step 5:
The number 13 fits into 12 0 times, leaving a remainder of 12.
The number 0 becomes the next digit in our result. 
Result so far: 5990.0
Deduct 0 from 12 and we're left with 12.
Fetch the next digit (3) from the dividend, attach it to 12 and continue: 123 / 13

Let's proceed to step 6:
13 can be fit into 123 9 times, resulting in a remainder of 6.
Record the quotient 9 as the next digit in the result. 
Result so far: 59909.0
Deduct 117 from 123 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.

On to step 7:
60 divided by 13 is 4 with a remainder of 8.
Record the quotient 4 as the next digit in the result. 
Result so far: 59909.4
If we take 52 away from 60, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Going ahead to step 8:
When dividing 80 by 13, we get 6 with a remainder of 2.
Put 6 as the next digit of the answer. 
Result so far: 59909.46
Subtract 78 from 80 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 9:
If we divide 20 by 13, we get 1 and a remainder of 7.
Use 1 as the next digit of our solution. 
Result so far: 59909.461
The remainder is 7 after subtracting 13 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Let's proceed to step 10:
70 divided by 13 is 5 with a remainder of 5.
The next digit of our result is 5. 
Result so far: 59909.4615
The remainder is 5 after subtracting 65 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 11:
If we divide 50 by 13, we get 3 and a remainder of 11.
Write down 3 as next digit of the result. 
Result so far: 59909.46153
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.

Let's proceed to step 12:
110 divided by 13 is 8 with a remainder of 6.
Record the quotient 8 as the next digit in the result. 
Result so far: 59909.461538
Subtracting 104 from 110 leaves us 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.

Advancing to step 13:
60 divided by 13 is 4 with a remainder of 8.
The number 4 becomes the next digit in our result. 
Result so far: 59909.4615384
If we subtract 52 from 60, we 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.

Let's proceed to step 14:
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: 59909.46153846
If we subtract 78 from 80, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Our division results in 59909.46153846 with a remaining 2e-09.