41665325 ÷ 277 
Our goal is to divide 41665325 by 277.

On to step 1:
If we divide 4 by 277, we get 0 and a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Fetch the next digit (1) from the dividend, attach it to 4 and continue: 41 / 277

Moving on to step 2:
If we divide 41 by 277, we get 0 and a remainder of 41.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 41, we end up with 41.
Bring next digit (6) of the dividend behind the 41 and repeat the process: 416 / 277

Advancing to step 3:
416 divided by 277 is 1 with a remainder of 139.
The next digit of our result is 1. 
Result so far: 1.0
Subtract 277 from 416 to get 139.
Fetch the next digit (6) from the dividend, attach it to 139 and continue: 1396 / 277

Moving on to step 4:
If we divide 1396 by 277, we get 5 and a remainder of 11.
Write down 5 as next digit of the result. 
Result so far: 15.0
If we take 1385 away from 1396, we end up with 11.
Grab the next digit (5) from the dividend, add it to 11, then carry on: 115 / 277

Let's proceed to step 5:
If we divide 115 by 277, we get 0 and a remainder of 115.
Record the quotient 0 as the next digit in the result. 
Result so far: 150.0
If we subtract 0 from 115, we get 115.
Take the next digit (3) from the dividend and append it to 115, then repeat: 1153 / 277

Step 6:
277 can be fit into 1153 4 times, resulting in a remainder of 45.
Put 4 as the next digit of the answer. 
Result so far: 1504.0
If we subtract 1108 from 1153, we get 45.
Fetch the next digit (2) from the dividend, attach it to 45 and continue: 452 / 277

Moving on to step 7:
452 divided by 277 is 1 with a remainder of 175.
Record the quotient 1 as the next digit in the result. 
Result so far: 15041.0
If we take 277 away from 452, we end up with 175.
Include the next digit (5) from the dividend after 175, then repeat: 1755 / 277

On to step 8:
1755 divided by 277 is 6 with a remainder of 93.
The next digit of our result is 6. 
Result so far: 150416.0
Deduct 1662 from 1755 and we're left with 93.
Since there are no more digits in the dividend, we add a zero to the remainder making it 930, and continue the process.

Step 9:
If we divide 930 by 277, we get 3 and a remainder of 99.
Record the quotient 3 as the next digit in the result. 
Result so far: 150416.3
If we take 831 away from 930, we end up with 99.
Since there are no more digits in the dividend, we add a zero to the remainder making it 990, and continue the process.

On to step 10:
990 divided by 277 is 3 with a remainder of 159.
Put 3 as the next digit of the answer. 
Result so far: 150416.33
If we subtract 831 from 990, we get 159.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1590, and continue the process.

In conclusion, the division gives 150416.33 with a balance of 0.159.