We divide 115566 by 41
We're looking to find how many times 41 goes into 115566.

Step 1:
When dividing 1 by 41, we get 0 with a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Append the next digit (1) from the dividend to 1 and continue with: 11 / 41

Going ahead to step 2:
If we divide 11 by 41, we get 0 and a remainder of 11.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 11, we end up with 11.
Append the next digit (5) from the dividend to 11 and continue with: 115 / 41

Step 3:
41 can be fit into 115 2 times, resulting in a remainder of 33.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
The remainder is 33 after subtracting 82 from 115.
Grab the next digit (5) from the dividend, add it to 33, then carry on: 335 / 41

Going ahead to step 4:
When dividing 335 by 41, we get 8 with a remainder of 7.
Use 8 as the next digit of our solution. 
Result so far: 28.0
Subtract 328 from 335 to get 7.
Take the next digit (6) from the dividend and append it to 7, then repeat: 76 / 41

Going ahead to step 5:
When dividing 76 by 41, we get 1 with a remainder of 35.
Put 1 as the next digit of the answer. 
Result so far: 281.0
Deduct 41 from 76 and we're left with 35.
Bring next digit (6) of the dividend behind the 35 and repeat the process: 356 / 41

Going ahead to step 6:
41 goes into 356 8 times with a remainder of 28.
Put 8 as the next digit of the answer. 
Result so far: 2818.0
Deduct 328 from 356 and we're left with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Going ahead to step 7:
41 goes into 280 6 times with a remainder of 34.
Put 6 as the next digit of the answer. 
Result so far: 2818.6
If we take 246 away from 280, we end up with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Let's proceed to step 8:
When dividing 340 by 41, we get 8 with a remainder of 12.
Write down 8 as next digit of the result. 
Result so far: 2818.68
Deduct 328 from 340 and we're left with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Moving on to step 9:
120 divided by 41 is 2 with a remainder of 38.
Write down 2 as next digit of the result. 
Result so far: 2818.682
Deduct 82 from 120 and we're left with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

On to step 10:
41 goes into 380 9 times with a remainder of 11.
Put 9 as the next digit of the answer. 
Result so far: 2818.6829
If we take 369 away from 380, we end up with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Moving on to step 11:
41 can be fit into 110 2 times, resulting in a remainder of 28.
The number 2 becomes the next digit in our result. 
Result so far: 2818.68292
Deduct 82 from 110 and we're left with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Going ahead to step 12:
When dividing 280 by 41, we get 6 with a remainder of 34.
Record the quotient 6 as the next digit in the result. 
Result so far: 2818.682926
Subtract 246 from 280 to get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Moving on to step 13:
If we divide 340 by 41, we get 8 and a remainder of 12.
Record the quotient 8 as the next digit in the result. 
Result so far: 2818.6829268
Deduct 328 from 340 and we're left with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Going ahead to step 14:
When dividing 120 by 41, we get 2 with a remainder of 38.
The number 2 becomes the next digit in our result. 
Result so far: 2818.68292682
If we take 82 away from 120, we end up with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Our division results in 2818.68292682 with a remaining 3.8e-08.