We divide 71754 by 11
We're looking to find how many times 11 goes into 71754.

On to step 1:
When dividing 7 by 11, we get 0 with a remainder of 7.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 7 and we're left with 7.
Include the next digit (1) from the dividend after 7, then repeat: 71 / 11

Step 2:
11 goes into 71 6 times with a remainder of 5.
The next digit of our result is 6. 
Result so far: 6.0
If we take 66 away from 71, we end up with 5.
Include the next digit (7) from the dividend after 5, then repeat: 57 / 11

Let's proceed to step 3:
The number 11 fits into 57 5 times, leaving a remainder of 2.
The number 5 becomes the next digit in our result. 
Result so far: 65.0
If we subtract 55 from 57, we get 2.
Bring next digit (5) of the dividend behind the 2 and repeat the process: 25 / 11

Step 4:
11 goes into 25 2 times with a remainder of 3.
Write down 2 as next digit of the result. 
Result so far: 652.0
The remainder is 3 after subtracting 22 from 25.
Fetch the next digit (4) from the dividend, attach it to 3 and continue: 34 / 11

Step 5:
11 goes into 34 3 times with a remainder of 1.
Put 3 as the next digit of the answer. 
Result so far: 6523.0
If we subtract 33 from 34, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Moving on to step 6:
When dividing 10 by 11, we get 0 with a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 6523.0
Subtracting 0 from 10 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 7:
When dividing 100 by 11, we get 9 with a remainder of 1.
The next digit of our result is 9. 
Result so far: 6523.09
Deduct 99 from 100 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 8:
10 divided by 11 is 0 with a remainder of 10.
The next digit of our result is 0. 
Result so far: 6523.09
Subtracting 0 from 10 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 9:
The number 11 fits into 100 9 times, leaving a remainder of 1.
Put 9 as the next digit of the answer. 
Result so far: 6523.0909
If we subtract 99 from 100, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 10:
When dividing 10 by 11, we get 0 with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 6523.0909
Subtract 0 from 10 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 11:
11 can be fit into 100 9 times, resulting in a remainder of 1.
Use 9 as the next digit of our solution. 
Result so far: 6523.090909
If we subtract 99 from 100, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Advancing to step 12:
When dividing 10 by 11, we get 0 with a remainder of 10.
The next digit of our result is 0. 
Result so far: 6523.090909
Subtracting 0 from 10 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 13:
If we divide 100 by 11, we get 9 and a remainder of 1.
Write down 9 as next digit of the result. 
Result so far: 6523.09090909
If we subtract 99 from 100, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

In conclusion, the division gives 6523.09090909 with a balance of 1e-09.