We're dividing 41166600 by 177 
We're looking to find how many times 177 goes into 41166600.

Advancing to step 1:
4 divided by 177 is 0 with a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Bring next digit (1) of the dividend behind the 4 and repeat the process: 41 / 177

Going ahead to step 2:
If we divide 41 by 177, we get 0 and a remainder of 41.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 41 to get 41.
Append the next digit (1) from the dividend to 41 and continue with: 411 / 177

Let's proceed to step 3:
If we divide 411 by 177, we get 2 and a remainder of 57.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
Subtract 354 from 411 to get 57.
Take the next digit (6) from the dividend and append it to 57, then repeat: 576 / 177

Going ahead to step 4:
177 goes into 576 3 times with a remainder of 45.
Use 3 as the next digit of our solution. 
Result so far: 23.0
If we subtract 531 from 576, we get 45.
Include the next digit (6) from the dividend after 45, then repeat: 456 / 177

Let's proceed to step 5:
When dividing 456 by 177, we get 2 with a remainder of 102.
The number 2 becomes the next digit in our result. 
Result so far: 232.0
The remainder is 102 after subtracting 354 from 456.
Grab the next digit (6) from the dividend, add it to 102, then carry on: 1026 / 177

Moving on to step 6:
177 goes into 1026 5 times with a remainder of 141.
Put 5 as the next digit of the answer. 
Result so far: 2325.0
The remainder is 141 after subtracting 885 from 1026.
Bring next digit (0) of the dividend behind the 141 and repeat the process: 1410 / 177

Advancing to step 7:
If we divide 1410 by 177, we get 7 and a remainder of 171.
The next digit of our result is 7. 
Result so far: 23257.0
Subtracting 1239 from 1410 leaves us with 171.
Grab the next digit (0) from the dividend, add it to 171, then carry on: 1710 / 177

Going ahead to step 8:
The number 177 fits into 1710 9 times, leaving a remainder of 117.
The number 9 becomes the next digit in our result. 
Result so far: 232579.0
Subtracting 1593 from 1710 leaves us with 117.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1170, and continue the process.

Moving on to step 9:
177 can be fit into 1170 6 times, resulting in a remainder of 108.
The number 6 becomes the next digit in our result. 
Result so far: 232579.6
Deduct 1062 from 1170 and we're left with 108.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1080, and continue the process.

On to step 10:
When dividing 1080 by 177, we get 6 with a remainder of 18.
Use 6 as the next digit of our solution. 
Result so far: 232579.66
Subtracting 1062 from 1080 leaves us with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Our division results in 232579.66 with a remaining 0.018.