781893 ÷ 13 
We want to figure out the number of times 781893 can be divided by 13.

Going ahead to step 1:
The number 13 fits into 7 0 times, leaving a remainder of 7.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 7 to get 7.
Include the next digit (8) from the dividend after 7, then repeat: 78 / 13

Let's proceed to step 2:
13 can be fit into 78 6 times, resulting in a remainder of 0.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
The remainder is 0 after subtracting 78 from 78.
Bring next digit (1) of the dividend behind the 0 and repeat the process: 1 / 13

Step 3:
If we divide 1 by 13, we get 0 and a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 60.0
The remainder is 1 after subtracting 0 from 1.
Append the next digit (8) from the dividend to 1 and continue with: 18 / 13

On to step 4:
If we divide 18 by 13, we get 1 and a remainder of 5.
The next digit of our result is 1. 
Result so far: 601.0
Subtracting 13 from 18 leaves us with 5.
Append the next digit (9) from the dividend to 5 and continue with: 59 / 13

Going ahead to step 5:
If we divide 59 by 13, we get 4 and a remainder of 7.
Put 4 as the next digit of the answer. 
Result so far: 6014.0
Subtract 52 from 59 to get 7.
Include the next digit (3) from the dividend after 7, then repeat: 73 / 13

Going ahead to step 6:
When dividing 73 by 13, we get 5 with a remainder of 8.
Write down 5 as next digit of the result. 
Result so far: 60145.0
Deduct 65 from 73 and we're left 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.

Let's proceed to step 7:
13 goes into 80 6 times with a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 60145.6
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.

Step 8:
When dividing 20 by 13, we get 1 with a remainder of 7.
Use 1 as the next digit of our solution. 
Result so far: 60145.61
Subtract 13 from 20 to 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.

Moving on to step 9:
The number 13 fits into 70 5 times, leaving a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 60145.615
If we take 65 away from 70, we end up 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.

Let's proceed to step 10:
If we divide 50 by 13, we get 3 and a remainder of 11.
The next digit of our result is 3. 
Result so far: 60145.6153
Subtract 39 from 50 to 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 11:
13 goes into 110 8 times with a remainder of 6.
The number 8 becomes the next digit in our result. 
Result so far: 60145.61538
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.

Step 12:
60 divided by 13 is 4 with a remainder of 8.
Put 4 as the next digit of the answer. 
Result so far: 60145.615384
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.

Going ahead to step 13:
If we divide 80 by 13, we get 6 and a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 60145.6153846
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.

Moving on to step 14:
When dividing 20 by 13, we get 1 with a remainder of 7.
The number 1 becomes the next digit in our result. 
Result so far: 60145.61538461
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.

The final result is 60145.61538461 with a remainder of 7e-09.