41066628 ÷ 174 
Our goal is to divide 41066628 by 174.

On to step 1:
174 can be fit into 4 0 times, resulting in a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Include the next digit (1) from the dividend after 4, then repeat: 41 / 174

Advancing to step 2:
174 can be fit into 41 0 times, resulting in a remainder of 41.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 41 leaves us with 41.
Take the next digit (0) from the dividend and append it to 41, then repeat: 410 / 174

Step 3:
174 goes into 410 2 times with a remainder of 62.
The next digit of our result is 2. 
Result so far: 2.0
If we subtract 348 from 410, we get 62.
Take the next digit (6) from the dividend and append it to 62, then repeat: 626 / 174

Moving on to step 4:
626 divided by 174 is 3 with a remainder of 104.
The number 3 becomes the next digit in our result. 
Result so far: 23.0
Subtract 522 from 626 to get 104.
Fetch the next digit (6) from the dividend, attach it to 104 and continue: 1046 / 174

Going ahead to step 5:
When dividing 1046 by 174, we get 6 with a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 236.0
Deduct 1044 from 1046 and we're left with 2.
Fetch the next digit (6) from the dividend, attach it to 2 and continue: 26 / 174

Advancing to step 6:
26 divided by 174 is 0 with a remainder of 26.
Record the quotient 0 as the next digit in the result. 
Result so far: 2360.0
Subtracting 0 from 26 leaves us with 26.
Grab the next digit (2) from the dividend, add it to 26, then carry on: 262 / 174

Moving on to step 7:
When dividing 262 by 174, we get 1 with a remainder of 88.
Use 1 as the next digit of our solution. 
Result so far: 23601.0
Deduct 174 from 262 and we're left with 88.
Bring next digit (8) of the dividend behind the 88 and repeat the process: 888 / 174

Let's proceed to step 8:
If we divide 888 by 174, we get 5 and a remainder of 18.
The next digit of our result is 5. 
Result so far: 236015.0
Subtract 870 from 888 to get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Going ahead to step 9:
The number 174 fits into 180 1 times, leaving a remainder of 6.
The next digit of our result is 1. 
Result so far: 236015.1
Deduct 174 from 180 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 10:
60 divided by 174 is 0 with a remainder of 60.
Record the quotient 0 as the next digit in the result. 
Result so far: 236015.1
If we take 0 away from 60, we end up with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Step 11:
If we divide 600 by 174, we get 3 and a remainder of 78.
Write down 3 as next digit of the result. 
Result so far: 236015.103
Deduct 522 from 600 and we're left with 78.
Since there are no more digits in the dividend, we add a zero to the remainder making it 780, and continue the process.

Moving on to step 12:
780 divided by 174 is 4 with a remainder of 84.
Write down 4 as next digit of the result. 
Result so far: 236015.1034
The remainder is 84 after subtracting 696 from 780.
Since there are no more digits in the dividend, we add a zero to the remainder making it 840, and continue the process.

Moving on to step 13:
174 can be fit into 840 4 times, resulting in a remainder of 144.
The number 4 becomes the next digit in our result. 
Result so far: 236015.10344
If we take 696 away from 840, we end up with 144.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1440, and continue the process.

In conclusion, the division gives 236015.10344 with a balance of 0.000144.