We look at the division of 778378 by 13 
We're looking to find how many times 13 goes into 778378.

Let's proceed to step 1:
13 goes into 7 0 times with a remainder of 7.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 7 and we're left with 7.
Append the next digit (7) from the dividend to 7 and continue with: 77 / 13

Advancing to step 2:
13 goes into 77 5 times with a remainder of 12.
Use 5 as the next digit of our solution. 
Result so far: 5.0
If we take 65 away from 77, we end up with 12.
Grab the next digit (8) from the dividend, add it to 12, then carry on: 128 / 13

Moving on to step 3:
When dividing 128 by 13, we get 9 with a remainder of 11.
The number 9 becomes the next digit in our result. 
Result so far: 59.0
The remainder is 11 after subtracting 117 from 128.
Take the next digit (3) from the dividend and append it to 11, then repeat: 113 / 13

Let's proceed to step 4:
The number 13 fits into 113 8 times, leaving a remainder of 9.
The number 8 becomes the next digit in our result. 
Result so far: 598.0
Subtracting 104 from 113 leaves us with 9.
Include the next digit (7) from the dividend after 9, then repeat: 97 / 13

Advancing to step 5:
13 can be fit into 97 7 times, resulting in a remainder of 6.
Write down 7 as next digit of the result. 
Result so far: 5987.0
Subtract 91 from 97 to get 6.
Take the next digit (8) from the dividend and append it to 6, then repeat: 68 / 13

Going ahead to step 6:
13 can be fit into 68 5 times, resulting in a remainder of 3.
Record the quotient 5 as the next digit in the result. 
Result so far: 59875.0
Deduct 65 from 68 and we're left 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.

Advancing to step 7:
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: 59875.2
Subtract 26 from 30 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 8:
When dividing 40 by 13, we get 3 with a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 59875.23
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.

Going ahead to step 9:
13 can be fit into 10 0 times, resulting in a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 59875.23
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 10:
13 goes into 100 7 times with a remainder of 9.
Put 7 as the next digit of the answer. 
Result so far: 59875.2307
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.

Moving on to step 11:
The number 13 fits into 90 6 times, leaving a remainder of 12.
The next digit of our result is 6. 
Result so far: 59875.23076
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.

On to step 12:
When dividing 120 by 13, we get 9 with a remainder of 3.
Put 9 as the next digit of the answer. 
Result so far: 59875.230769
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.

Moving on to step 13:
13 can be fit into 30 2 times, resulting in a remainder of 4.
Write down 2 as next digit of the result. 
Result so far: 59875.2307692
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 14:
40 divided by 13 is 3 with a remainder of 1.
Put 3 as the next digit of the answer. 
Result so far: 59875.23076923
Subtract 39 from 40 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Our division results in 59875.23076923 with a remaining 1e-09.