171877 divided by 66 
We want to divide 171877 by 66.

Advancing to step 1:
The number 66 fits into 1 0 times, leaving a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Grab the next digit (7) from the dividend, add it to 1, then carry on: 17 / 66

Let's proceed to step 2:
66 can be fit into 17 0 times, resulting in a remainder of 17.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 17 to get 17.
Fetch the next digit (1) from the dividend, attach it to 17 and continue: 171 / 66

On to step 3:
If we divide 171 by 66, we get 2 and a remainder of 39.
Write down 2 as next digit of the result. 
Result so far: 2.0
Subtract 132 from 171 to get 39.
Append the next digit (8) from the dividend to 39 and continue with: 398 / 66

Advancing to step 4:
The number 66 fits into 398 6 times, leaving a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 26.0
Subtract 396 from 398 to get 2.
Bring next digit (7) of the dividend behind the 2 and repeat the process: 27 / 66

On to step 5:
The number 66 fits into 27 0 times, leaving a remainder of 27.
Use 0 as the next digit of our solution. 
Result so far: 260.0
If we subtract 0 from 27, we get 27.
Include the next digit (7) from the dividend after 27, then repeat: 277 / 66

Going ahead to step 6:
277 divided by 66 is 4 with a remainder of 13.
Use 4 as the next digit of our solution. 
Result so far: 2604.0
If we take 264 away from 277, we end up with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Moving on to step 7:
66 goes into 130 1 times with a remainder of 64.
The number 1 becomes the next digit in our result. 
Result so far: 2604.1
The remainder is 64 after subtracting 66 from 130.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Going ahead to step 8:
The number 66 fits into 640 9 times, leaving a remainder of 46.
The number 9 becomes the next digit in our result. 
Result so far: 2604.19
If we take 594 away from 640, we end up with 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

On to step 9:
When dividing 460 by 66, we get 6 with a remainder of 64.
Put 6 as the next digit of the answer. 
Result so far: 2604.196
The remainder is 64 after subtracting 396 from 460.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Step 10:
66 can be fit into 640 9 times, resulting in a remainder of 46.
Use 9 as the next digit of our solution. 
Result so far: 2604.1969
Subtract 594 from 640 to get 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

On to step 11:
460 divided by 66 is 6 with a remainder of 64.
Put 6 as the next digit of the answer. 
Result so far: 2604.19696
If we take 396 away from 460, we end up with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Moving on to step 12:
66 goes into 640 9 times with a remainder of 46.
Use 9 as the next digit of our solution. 
Result so far: 2604.196969
Subtract 594 from 640 to get 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Advancing to step 13:
If we divide 460 by 66, we get 6 and a remainder of 64.
Put 6 as the next digit of the answer. 
Result so far: 2604.1969696
The remainder is 64 after subtracting 396 from 460.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Let's proceed to step 14:
The number 66 fits into 640 9 times, leaving a remainder of 46.
Use 9 as the next digit of our solution. 
Result so far: 2604.19696969
Deduct 594 from 640 and we're left with 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

In conclusion, the division gives 2604.19696969 with a balance of 4.6e-08.