41185234 ÷ 261 
We want to figure out the number of times 41185234 can be divided by 261.

Let's proceed to step 1:
If we divide 4 by 261, 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 / 261

Advancing to step 2:
41 divided by 261 is 0 with a remainder of 41.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 41 to get 41.
Include the next digit (1) from the dividend after 41, then repeat: 411 / 261

Step 3:
261 can be fit into 411 1 times, resulting in a remainder of 150.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we take 261 away from 411, we end up with 150.
Fetch the next digit (8) from the dividend, attach it to 150 and continue: 1508 / 261

On to step 4:
261 can be fit into 1508 5 times, resulting in a remainder of 203.
Use 5 as the next digit of our solution. 
Result so far: 15.0
If we subtract 1305 from 1508, we get 203.
Append the next digit (5) from the dividend to 203 and continue with: 2035 / 261

Step 5:
The number 261 fits into 2035 7 times, leaving a remainder of 208.
Put 7 as the next digit of the answer. 
Result so far: 157.0
Deduct 1827 from 2035 and we're left with 208.
Append the next digit (2) from the dividend to 208 and continue with: 2082 / 261

Moving on to step 6:
The number 261 fits into 2082 7 times, leaving a remainder of 255.
Record the quotient 7 as the next digit in the result. 
Result so far: 1577.0
Deduct 1827 from 2082 and we're left with 255.
Take the next digit (3) from the dividend and append it to 255, then repeat: 2553 / 261

On to step 7:
261 goes into 2553 9 times with a remainder of 204.
The number 9 becomes the next digit in our result. 
Result so far: 15779.0
Subtract 2349 from 2553 to get 204.
Append the next digit (4) from the dividend to 204 and continue with: 2044 / 261

Going ahead to step 8:
When dividing 2044 by 261, we get 7 with a remainder of 217.
The next digit of our result is 7. 
Result so far: 157797.0
Deduct 1827 from 2044 and we're left with 217.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2170, and continue the process.

On to step 9:
When dividing 2170 by 261, we get 8 with a remainder of 82.
Record the quotient 8 as the next digit in the result. 
Result so far: 157797.8
Subtract 2088 from 2170 to get 82.
Since there are no more digits in the dividend, we add a zero to the remainder making it 820, and continue the process.

Going ahead to step 10:
820 divided by 261 is 3 with a remainder of 37.
Put 3 as the next digit of the answer. 
Result so far: 157797.83
Subtract 783 from 820 to get 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Advancing to step 11:
The number 261 fits into 370 1 times, leaving a remainder of 109.
Write down 1 as next digit of the result. 
Result so far: 157797.831
Deduct 261 from 370 and we're left with 109.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1090, and continue the process.

Moving on to step 12:
261 can be fit into 1090 4 times, resulting in a remainder of 46.
The number 4 becomes the next digit in our result. 
Result so far: 157797.8314
If we subtract 1044 from 1090, we 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.

Let's proceed to step 13:
261 goes into 460 1 times with a remainder of 199.
Write down 1 as next digit of the result. 
Result so far: 157797.83141
Subtract 261 from 460 to get 199.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1990, and continue the process.

Going ahead to step 14:
The number 261 fits into 1990 7 times, leaving a remainder of 163.
The next digit of our result is 7. 
Result so far: 157797.831417
Deduct 1827 from 1990 and we're left with 163.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1630, and continue the process.

Going ahead to step 15:
When dividing 1630 by 261, we get 6 with a remainder of 64.
The number 6 becomes the next digit in our result. 
Result so far: 157797.8314176
Deduct 1566 from 1630 and we're left 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 16:
When dividing 640 by 261, we get 2 with a remainder of 118.
The number 2 becomes the next digit in our result. 
Result so far: 157797.83141762
If we subtract 522 from 640, we get 118.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1180, and continue the process.

In conclusion, the division gives 157797.83141762 with a balance of 1.18e-07.