781684 ÷ 71 
We want to figure out the number of times 781684 can be divided by 71.

Moving on to step 1:
When dividing 7 by 71, we get 0 with a remainder of 7.
The next digit of our result is 0. 
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 / 71

On to step 2:
71 goes into 78 1 times with a remainder of 7.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we subtract 71 from 78, we get 7.
Include the next digit (1) from the dividend after 7, then repeat: 71 / 71

Let's proceed to step 3:
If we divide 71 by 71, we get 1 and a remainder of 0.
Use 1 as the next digit of our solution. 
Result so far: 11.0
Subtract 71 from 71 to get 0.
Fetch the next digit (6) from the dividend, attach it to 0 and continue: 6 / 71

Moving on to step 4:
The number 71 fits into 6 0 times, leaving a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 110.0
If we subtract 0 from 6, we get 6.
Grab the next digit (8) from the dividend, add it to 6, then carry on: 68 / 71

Let's proceed to step 5:
If we divide 68 by 71, we get 0 and a remainder of 68.
The number 0 becomes the next digit in our result. 
Result so far: 1100.0
Subtracting 0 from 68 leaves us with 68.
Grab the next digit (4) from the dividend, add it to 68, then carry on: 684 / 71

Moving on to step 6:
71 goes into 684 9 times with a remainder of 45.
The next digit of our result is 9. 
Result so far: 11009.0
If we take 639 away from 684, we end up with 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Going ahead to step 7:
71 goes into 450 6 times with a remainder of 24.
The next digit of our result is 6. 
Result so far: 11009.6
If we subtract 426 from 450, we get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

On to step 8:
When dividing 240 by 71, we get 3 with a remainder of 27.
Write down 3 as next digit of the result. 
Result so far: 11009.63
If we subtract 213 from 240, we get 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Going ahead to step 9:
If we divide 270 by 71, we get 3 and a remainder of 57.
The next digit of our result is 3. 
Result so far: 11009.633
The remainder is 57 after subtracting 213 from 270.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

The final result is 11009.633 with a remainder of 0.0057.