778971 divided by 71 
We want to figure out the number of times 778971 can be divided by 71.

Let's proceed to step 1:
71 goes into 7 0 times 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.
Fetch the next digit (7) from the dividend, attach it to 7 and continue: 77 / 71

Let's proceed to step 2:
77 divided by 71 is 1 with a remainder of 6.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we take 71 away from 77, we end up with 6.
Grab the next digit (8) from the dividend, add it to 6, then carry on: 68 / 71

Let's proceed to step 3:
68 divided by 71 is 0 with a remainder of 68.
Write down 0 as next digit of the result. 
Result so far: 10.0
The remainder is 68 after subtracting 0 from 68.
Bring next digit (9) of the dividend behind the 68 and repeat the process: 689 / 71

On to step 4:
When dividing 689 by 71, we get 9 with a remainder of 50.
Write down 9 as next digit of the result. 
Result so far: 109.0
If we subtract 639 from 689, we get 50.
Take the next digit (7) from the dividend and append it to 50, then repeat: 507 / 71

Moving on to step 5:
When dividing 507 by 71, we get 7 with a remainder of 10.
Write down 7 as next digit of the result. 
Result so far: 1097.0
If we subtract 497 from 507, we get 10.
Fetch the next digit (1) from the dividend, attach it to 10 and continue: 101 / 71

Advancing to step 6:
101 divided by 71 is 1 with a remainder of 30.
Use 1 as the next digit of our solution. 
Result so far: 10971.0
If we subtract 71 from 101, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Advancing to step 7:
When dividing 300 by 71, we get 4 with a remainder of 16.
The next digit of our result is 4. 
Result so far: 10971.4
Subtract 284 from 300 to get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

On to step 8:
If we divide 160 by 71, we get 2 and a remainder of 18.
The next digit of our result is 2. 
Result so far: 10971.42
Subtracting 142 from 160 leaves us with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Let's proceed to step 9:
71 goes into 180 2 times with a remainder of 38.
Record the quotient 2 as the next digit in the result. 
Result so far: 10971.422
Deduct 142 from 180 and we're left with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Our division results in 10971.422 with a remaining 0.0038.