We divide 760806 by 71
We're looking to find how many times 71 goes into 760806.

Advancing to step 1:
When dividing 7 by 71, we get 0 with a remainder of 7.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 7, we get 7.
Grab the next digit (6) from the dividend, add it to 7, then carry on: 76 / 71

Going ahead to step 2:
If we divide 76 by 71, we get 1 and a remainder of 5.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Deduct 71 from 76 and we're left with 5.
Append the next digit (0) from the dividend to 5 and continue with: 50 / 71

Let's proceed to step 3:
71 can be fit into 50 0 times, resulting in a remainder of 50.
The next digit of our result is 0. 
Result so far: 10.0
Subtracting 0 from 50 leaves us with 50.
Bring next digit (8) of the dividend behind the 50 and repeat the process: 508 / 71

Let's proceed to step 4:
508 divided by 71 is 7 with a remainder of 11.
The number 7 becomes the next digit in our result. 
Result so far: 107.0
Deduct 497 from 508 and we're left with 11.
Fetch the next digit (0) from the dividend, attach it to 11 and continue: 110 / 71

Moving on to step 5:
When dividing 110 by 71, we get 1 with a remainder of 39.
The next digit of our result is 1. 
Result so far: 1071.0
The remainder is 39 after subtracting 71 from 110.
Bring next digit (6) of the dividend behind the 39 and repeat the process: 396 / 71

Step 6:
71 can be fit into 396 5 times, resulting in a remainder of 41.
Write down 5 as next digit of the result. 
Result so far: 10715.0
Subtracting 355 from 396 leaves us with 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Step 7:
410 divided by 71 is 5 with a remainder of 55.
The number 5 becomes the next digit in our result. 
Result so far: 10715.5
Deduct 355 from 410 and we're left with 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Step 8:
If we divide 550 by 71, we get 7 and a remainder of 53.
The next digit of our result is 7. 
Result so far: 10715.57
Deduct 497 from 550 and we're left with 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

Let's proceed to step 9:
The number 71 fits into 530 7 times, leaving a remainder of 33.
Record the quotient 7 as the next digit in the result. 
Result so far: 10715.577
Subtracting 497 from 530 leaves us with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

In conclusion, the division gives 10715.577 with a balance of 0.0033.