We're dividing 754171 by 66 
We want to divide 754171 by 66.

Let's proceed to step 1:
The number 66 fits into 7 0 times, leaving a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 7, we end up with 7.
Grab the next digit (5) from the dividend, add it to 7, then carry on: 75 / 66

Moving on to step 2:
If we divide 75 by 66, we get 1 and a remainder of 9.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Subtract 66 from 75 to get 9.
Include the next digit (4) from the dividend after 9, then repeat: 94 / 66

Moving on to step 3:
66 can be fit into 94 1 times, resulting in a remainder of 28.
Record the quotient 1 as the next digit in the result. 
Result so far: 11.0
Deduct 66 from 94 and we're left with 28.
Append the next digit (1) from the dividend to 28 and continue with: 281 / 66

Going ahead to step 4:
66 goes into 281 4 times with a remainder of 17.
The number 4 becomes the next digit in our result. 
Result so far: 114.0
If we subtract 264 from 281, we get 17.
Take the next digit (7) from the dividend and append it to 17, then repeat: 177 / 66

Going ahead to step 5:
66 can be fit into 177 2 times, resulting in a remainder of 45.
Record the quotient 2 as the next digit in the result. 
Result so far: 1142.0
Subtracting 132 from 177 leaves us with 45.
Include the next digit (1) from the dividend after 45, then repeat: 451 / 66

Advancing to step 6:
When dividing 451 by 66, we get 6 with a remainder of 55.
Record the quotient 6 as the next digit in the result. 
Result so far: 11426.0
If we subtract 396 from 451, we get 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Going ahead to step 7:
When dividing 550 by 66, we get 8 with a remainder of 22.
Write down 8 as next digit of the result. 
Result so far: 11426.8
Deduct 528 from 550 and we're left with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Let's proceed to step 8:
When dividing 220 by 66, we get 3 with a remainder of 22.
Put 3 as the next digit of the answer. 
Result so far: 11426.83
The remainder is 22 after subtracting 198 from 220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Moving on to step 9:
If we divide 220 by 66, we get 3 and a remainder of 22.
Record the quotient 3 as the next digit in the result. 
Result so far: 11426.833
If we take 198 away from 220, we end up with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

In conclusion, the division gives 11426.833 with a balance of 0.0022.