771232 ÷ 71 
Let's see how many times 71 fits into 771232.

On to step 1:
71 goes into 7 0 times with a remainder of 7.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 7 leaves us with 7.
Bring next digit (7) of the dividend behind the 7 and repeat the process: 77 / 71

On to step 2:
The number 71 fits into 77 1 times, leaving a remainder of 6.
Write down 1 as next digit of the result. 
Result so far: 1.0
Deduct 71 from 77 and we're left with 6.
Append the next digit (1) from the dividend to 6 and continue with: 61 / 71

Moving on to step 3:
71 goes into 61 0 times with a remainder of 61.
Put 0 as the next digit of the answer. 
Result so far: 10.0
If we subtract 0 from 61, we get 61.
Include the next digit (2) from the dividend after 61, then repeat: 612 / 71

On to step 4:
71 can be fit into 612 8 times, resulting in a remainder of 44.
Use 8 as the next digit of our solution. 
Result so far: 108.0
Subtract 568 from 612 to get 44.
Grab the next digit (3) from the dividend, add it to 44, then carry on: 443 / 71

On to step 5:
71 goes into 443 6 times with a remainder of 17.
Write down 6 as next digit of the result. 
Result so far: 1086.0
Subtracting 426 from 443 leaves us with 17.
Include the next digit (2) from the dividend after 17, then repeat: 172 / 71

Moving on to step 6:
71 goes into 172 2 times with a remainder of 30.
Put 2 as the next digit of the answer. 
Result so far: 10862.0
If we take 142 away from 172, we end up with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

On to step 7:
When dividing 300 by 71, we get 4 with a remainder of 16.
Use 4 as the next digit of our solution. 
Result so far: 10862.4
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.

Advancing 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: 10862.42
Subtract 142 from 160 to get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Going ahead to step 9:
180 divided by 71 is 2 with a remainder of 38.
The number 2 becomes the next digit in our result. 
Result so far: 10862.422
Subtracting 142 from 180 leaves us 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.

In conclusion, the division gives 10862.422 with a balance of 0.0038.