We're dividing 780145 by 13 
Let's see how many times 13 fits into 780145.

On to step 1:
13 goes into 7 0 times with a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 7 and we're left with 7.
Grab the next digit (8) from the dividend, add it to 7, then carry on: 78 / 13

Going ahead to step 2:
When dividing 78 by 13, we get 6 with a remainder of 0.
Use 6 as the next digit of our solution. 
Result so far: 6.0
If we take 78 away from 78, we end up with 0.
Bring next digit (0) of the dividend behind the 0 and repeat the process: 0 / 13

Going ahead to step 3:
When dividing 0 by 13, we get 0 with a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 60.0
If we take 0 away from 0, we end up with 0.
Append the next digit (1) from the dividend to 0 and continue with: 1 / 13

Let's proceed to step 4:
1 divided by 13 is 0 with a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 600.0
If we subtract 0 from 1, we get 1.
Bring next digit (4) of the dividend behind the 1 and repeat the process: 14 / 13

On to step 5:
When dividing 14 by 13, we get 1 with a remainder of 1.
Use 1 as the next digit of our solution. 
Result so far: 6001.0
If we take 13 away from 14, we end up with 1.
Fetch the next digit (5) from the dividend, attach it to 1 and continue: 15 / 13

Advancing to step 6:
When dividing 15 by 13, we get 1 with a remainder of 2.
The next digit of our result is 1. 
Result so far: 60011.0
If we take 13 away from 15, we end up with 2.
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 7:
When dividing 20 by 13, we get 1 with a remainder of 7.
Write down 1 as next digit of the result. 
Result so far: 60011.1
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.

Step 8:
If we divide 70 by 13, we get 5 and a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 60011.15
Subtract 65 from 70 to 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.

On to step 9:
When dividing 50 by 13, we get 3 with a remainder of 11.
Write down 3 as next digit of the result. 
Result so far: 60011.153
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.

Going ahead to step 10:
13 goes into 110 8 times with a remainder of 6.
Put 8 as the next digit of the answer. 
Result so far: 60011.1538
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.

Step 11:
13 can be fit into 60 4 times, resulting in a remainder of 8.
The next digit of our result is 4. 
Result so far: 60011.15384
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.

Advancing to step 12:
80 divided by 13 is 6 with a remainder of 2.
The next digit of our result is 6. 
Result so far: 60011.153846
If we take 78 away from 80, we end up with 2.
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 13:
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: 60011.1538461
If we subtract 13 from 20, we get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Step 14:
70 divided by 13 is 5 with a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 60011.15384615
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.

Our division results in 60011.15384615 with a remaining 5e-09.