We divide 71791 by 561
Our goal is to divide 71791 by 561.

Step 1:
7 divided by 561 is 0 with a remainder of 7.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 7 leaves us with 7.
Append the next digit (1) from the dividend to 7 and continue with: 71 / 561

Going ahead to step 2:
If we divide 71 by 561, we get 0 and a remainder of 71.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 71 to get 71.
Append the next digit (7) from the dividend to 71 and continue with: 717 / 561

Going ahead to step 3:
If we divide 717 by 561, we get 1 and a remainder of 156.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtract 561 from 717 to get 156.
Append the next digit (9) from the dividend to 156 and continue with: 1569 / 561

Moving on to step 4:
The number 561 fits into 1569 2 times, leaving a remainder of 447.
Put 2 as the next digit of the answer. 
Result so far: 12.0
If we subtract 1122 from 1569, we get 447.
Include the next digit (1) from the dividend after 447, then repeat: 4471 / 561

Let's proceed to step 5:
If we divide 4471 by 561, we get 7 and a remainder of 544.
Record the quotient 7 as the next digit in the result. 
Result so far: 127.0
The remainder is 544 after subtracting 3927 from 4471.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5440, and continue the process.

On to step 6:
When dividing 5440 by 561, we get 9 with a remainder of 391.
The next digit of our result is 9. 
Result so far: 127.9
Deduct 5049 from 5440 and we're left with 391.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3910, and continue the process.

On to step 7:
If we divide 3910 by 561, we get 6 and a remainder of 544.
Use 6 as the next digit of our solution. 
Result so far: 127.96
If we subtract 3366 from 3910, we get 544.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5440, and continue the process.

On to step 8:
When dividing 5440 by 561, we get 9 with a remainder of 391.
The next digit of our result is 9. 
Result so far: 127.969
Subtracting 5049 from 5440 leaves us with 391.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3910, and continue the process.

Going ahead to step 9:
If we divide 3910 by 561, we get 6 and a remainder of 544.
The number 6 becomes the next digit in our result. 
Result so far: 127.9696
Deduct 3366 from 3910 and we're left with 544.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5440, and continue the process.

Step 10:
When dividing 5440 by 561, we get 9 with a remainder of 391.
The number 9 becomes the next digit in our result. 
Result so far: 127.96969
Deduct 5049 from 5440 and we're left with 391.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3910, and continue the process.

Let's proceed to step 11:
561 goes into 3910 6 times with a remainder of 544.
Use 6 as the next digit of our solution. 
Result so far: 127.969696
If we subtract 3366 from 3910, we get 544.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5440, and continue the process.

Step 12:
561 can be fit into 5440 9 times, resulting in a remainder of 391.
Write down 9 as next digit of the result. 
Result so far: 127.9696969
The remainder is 391 after subtracting 5049 from 5440.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3910, and continue the process.

Advancing to step 13:
When dividing 3910 by 561, we get 6 with a remainder of 544.
The next digit of our result is 6. 
Result so far: 127.96969696
The remainder is 544 after subtracting 3366 from 3910.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5440, and continue the process.

In conclusion, the division gives 127.96969696 with a balance of 5.44e-07.