We're dividing 781913 by 71 
We want to figure out the number of times 781913 can be divided by 71.

Step 1:
The number 71 fits into 7 0 times, leaving a remainder of 7.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 7 after subtracting 0 from 7.
Include the next digit (8) from the dividend after 7, then repeat: 78 / 71

Moving on to step 2:
71 can be fit into 78 1 times, resulting in a remainder of 7.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtracting 71 from 78 leaves us with 7.
Grab the next digit (1) from the dividend, add it to 7, then carry on: 71 / 71

Moving on to step 3:
When dividing 71 by 71, we get 1 with a remainder of 0.
Record the quotient 1 as the next digit in the result. 
Result so far: 11.0
If we subtract 71 from 71, we get 0.
Include the next digit (9) from the dividend after 0, then repeat: 9 / 71

Moving on to step 4:
The number 71 fits into 9 0 times, leaving a remainder of 9.
The number 0 becomes the next digit in our result. 
Result so far: 110.0
Subtracting 0 from 9 leaves us with 9.
Bring next digit (1) of the dividend behind the 9 and repeat the process: 91 / 71

Let's proceed to step 5:
71 goes into 91 1 times with a remainder of 20.
Use 1 as the next digit of our solution. 
Result so far: 1101.0
Deduct 71 from 91 and we're left with 20.
Append the next digit (3) from the dividend to 20 and continue with: 203 / 71

Moving on to step 6:
When dividing 203 by 71, we get 2 with a remainder of 61.
The next digit of our result is 2. 
Result so far: 11012.0
Deduct 142 from 203 and we're left with 61.
Since there are no more digits in the dividend, we add a zero to the remainder making it 610, and continue the process.

Let's proceed to step 7:
610 divided by 71 is 8 with a remainder of 42.
Record the quotient 8 as the next digit in the result. 
Result so far: 11012.8
Subtracting 568 from 610 leaves us with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Going ahead to step 8:
71 goes into 420 5 times with a remainder of 65.
Record the quotient 5 as the next digit in the result. 
Result so far: 11012.85
The remainder is 65 after subtracting 355 from 420.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

Advancing to step 9:
When dividing 650 by 71, we get 9 with a remainder of 11.
Use 9 as the next digit of our solution. 
Result so far: 11012.859
The remainder is 11 after subtracting 639 from 650.
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 10:
110 divided by 71 is 1 with a remainder of 39.
The next digit of our result is 1. 
Result so far: 11012.8591
If we take 71 away from 110, we end up with 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Going ahead to step 11:
The number 71 fits into 390 5 times, leaving a remainder of 35.
Use 5 as the next digit of our solution. 
Result so far: 11012.85915
Subtracting 355 from 390 leaves us with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Moving on to step 12:
350 divided by 71 is 4 with a remainder of 66.
The number 4 becomes the next digit in our result. 
Result so far: 11012.859154
Deduct 284 from 350 and we're left with 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

Going ahead to step 13:
When dividing 660 by 71, we get 9 with a remainder of 21.
Use 9 as the next digit of our solution. 
Result so far: 11012.8591549
The remainder is 21 after subtracting 639 from 660.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Step 14:
210 divided by 71 is 2 with a remainder of 68.
Use 2 as the next digit of our solution. 
Result so far: 11012.85915492
If we subtract 142 from 210, we get 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

In conclusion, the division gives 11012.85915492 with a balance of 6.8e-08.