41540956 ÷ 137 
Our goal is to divide 41540956 by 137.

Advancing to step 1:
4 divided by 137 is 0 with 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.
Include the next digit (1) from the dividend after 4, then repeat: 41 / 137

Moving on to step 2:
If we divide 41 by 137, we get 0 and a remainder of 41.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 41 and we're left with 41.
Append the next digit (5) from the dividend to 41 and continue with: 415 / 137

Let's proceed to step 3:
415 divided by 137 is 3 with a remainder of 4.
Use 3 as the next digit of our solution. 
Result so far: 3.0
Subtracting 411 from 415 leaves us with 4.
Include the next digit (4) from the dividend after 4, then repeat: 44 / 137

Step 4:
137 goes into 44 0 times with a remainder of 44.
Record the quotient 0 as the next digit in the result. 
Result so far: 30.0
The remainder is 44 after subtracting 0 from 44.
Bring next digit (0) of the dividend behind the 44 and repeat the process: 440 / 137

Moving on to step 5:
440 divided by 137 is 3 with a remainder of 29.
Put 3 as the next digit of the answer. 
Result so far: 303.0
Subtract 411 from 440 to get 29.
Fetch the next digit (9) from the dividend, attach it to 29 and continue: 299 / 137

Let's proceed to step 6:
299 divided by 137 is 2 with a remainder of 25.
Put 2 as the next digit of the answer. 
Result so far: 3032.0
Subtract 274 from 299 to get 25.
Include the next digit (5) from the dividend after 25, then repeat: 255 / 137

On to step 7:
255 divided by 137 is 1 with a remainder of 118.
Record the quotient 1 as the next digit in the result. 
Result so far: 30321.0
Subtracting 137 from 255 leaves us with 118.
Include the next digit (6) from the dividend after 118, then repeat: 1186 / 137

Step 8:
1186 divided by 137 is 8 with a remainder of 90.
Write down 8 as next digit of the result. 
Result so far: 303218.0
The remainder is 90 after subtracting 1096 from 1186.
Since there are no more digits in the dividend, we add a zero to the remainder making it 900, and continue the process.

Advancing to step 9:
If we divide 900 by 137, we get 6 and a remainder of 78.
The number 6 becomes the next digit in our result. 
Result so far: 303218.6
Deduct 822 from 900 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 10:
If we divide 780 by 137, we get 5 and a remainder of 95.
The number 5 becomes the next digit in our result. 
Result so far: 303218.65
The remainder is 95 after subtracting 685 from 780.
Since there are no more digits in the dividend, we add a zero to the remainder making it 950, and continue the process.

Advancing to step 11:
137 goes into 950 6 times with a remainder of 128.
Use 6 as the next digit of our solution. 
Result so far: 303218.656
Subtract 822 from 950 to get 128.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1280, and continue the process.

Advancing to step 12:
1280 divided by 137 is 9 with a remainder of 47.
Record the quotient 9 as the next digit in the result. 
Result so far: 303218.6569
The remainder is 47 after subtracting 1233 from 1280.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

Let's proceed to step 13:
If we divide 470 by 137, we get 3 and a remainder of 59.
Write down 3 as next digit of the result. 
Result so far: 303218.65693
Subtract 411 from 470 to get 59.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

Advancing to step 14:
137 goes into 590 4 times with a remainder of 42.
Use 4 as the next digit of our solution. 
Result so far: 303218.656934
If we take 548 away from 590, we end up with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Going ahead to step 15:
137 goes into 420 3 times with a remainder of 9.
Put 3 as the next digit of the answer. 
Result so far: 303218.6569343
If we subtract 411 from 420, we get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Going ahead to step 16:
If we divide 90 by 137, we get 0 and a remainder of 90.
Use 0 as the next digit of our solution. 
Result so far: 303218.6569343
Subtracting 0 from 90 leaves us with 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 900, and continue the process.

In conclusion, the division gives 303218.6569343 with a balance of 9e-08.