113774 divided by 41 
We want to figure out the number of times 113774 can be divided by 41.

Step 1:
When dividing 1 by 41, we get 0 with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Take the next digit (1) from the dividend and append it to 1, then repeat: 11 / 41

Advancing to step 2:
41 can be fit into 11 0 times, resulting in a remainder of 11.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 11 to get 11.
Bring next digit (3) of the dividend behind the 11 and repeat the process: 113 / 41

Going ahead to step 3:
When dividing 113 by 41, we get 2 with a remainder of 31.
Put 2 as the next digit of the answer. 
Result so far: 2.0
Deduct 82 from 113 and we're left with 31.
Include the next digit (7) from the dividend after 31, then repeat: 317 / 41

Advancing to step 4:
41 goes into 317 7 times with a remainder of 30.
Put 7 as the next digit of the answer. 
Result so far: 27.0
Deduct 287 from 317 and we're left with 30.
Append the next digit (7) from the dividend to 30 and continue with: 307 / 41

Advancing to step 5:
If we divide 307 by 41, we get 7 and a remainder of 20.
The next digit of our result is 7. 
Result so far: 277.0
Subtract 287 from 307 to get 20.
Append the next digit (4) from the dividend to 20 and continue with: 204 / 41

Advancing to step 6:
41 goes into 204 4 times with a remainder of 40.
Put 4 as the next digit of the answer. 
Result so far: 2774.0
Subtract 164 from 204 to get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Going ahead to step 7:
When dividing 400 by 41, we get 9 with a remainder of 31.
Record the quotient 9 as the next digit in the result. 
Result so far: 2774.9
If we take 369 away from 400, we end up with 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Going ahead to step 8:
41 can be fit into 310 7 times, resulting in a remainder of 23.
The number 7 becomes the next digit in our result. 
Result so far: 2774.97
If we take 287 away from 310, we end up with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Let's proceed to step 9:
41 goes into 230 5 times with a remainder of 25.
Put 5 as the next digit of the answer. 
Result so far: 2774.975
If we take 205 away from 230, we end up with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Going ahead to step 10:
The number 41 fits into 250 6 times, leaving a remainder of 4.
The number 6 becomes the next digit in our result. 
Result so far: 2774.9756
If we subtract 246 from 250, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 11:
When dividing 40 by 41, we get 0 with a remainder of 40.
Put 0 as the next digit of the answer. 
Result so far: 2774.9756
The remainder is 40 after subtracting 0 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Let's proceed to step 12:
400 divided by 41 is 9 with a remainder of 31.
The next digit of our result is 9. 
Result so far: 2774.975609
If we subtract 369 from 400, we get 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Step 13:
The number 41 fits into 310 7 times, leaving a remainder of 23.
The number 7 becomes the next digit in our result. 
Result so far: 2774.9756097
The remainder is 23 after subtracting 287 from 310.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Moving on to step 14:
If we divide 230 by 41, we get 5 and a remainder of 25.
Write down 5 as next digit of the result. 
Result so far: 2774.97560975
Deduct 205 from 230 and we're left with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

In conclusion, the division gives 2774.97560975 with a balance of 2.5e-08.