7127 divided by 41 
Our goal is to divide 7127 by 41.

Step 1:
7 divided by 41 is 0 with a remainder of 7.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 7 leaves us with 7.
Fetch the next digit (1) from the dividend, attach it to 7 and continue: 71 / 41

Step 2:
When dividing 71 by 41, we get 1 with a remainder of 30.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we subtract 41 from 71, we get 30.
Bring next digit (2) of the dividend behind the 30 and repeat the process: 302 / 41

Going ahead to step 3:
302 divided by 41 is 7 with a remainder of 15.
Use 7 as the next digit of our solution. 
Result so far: 17.0
Deduct 287 from 302 and we're left with 15.
Append the next digit (7) from the dividend to 15 and continue with: 157 / 41

Step 4:
41 can be fit into 157 3 times, resulting in a remainder of 34.
Write down 3 as next digit of the result. 
Result so far: 173.0
Subtracting 123 from 157 leaves us 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.

Step 5:
When dividing 340 by 41, we get 8 with a remainder of 12.
The next digit of our result is 8. 
Result so far: 173.8
Subtracting 328 from 340 leaves us 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.

Let's proceed to step 6:
41 goes into 120 2 times with a remainder of 38.
The next digit of our result is 2. 
Result so far: 173.82
Subtracting 82 from 120 leaves us 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.

Going ahead to step 7:
If we divide 380 by 41, we get 9 and a remainder of 11.
Use 9 as the next digit of our solution. 
Result so far: 173.829
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 8:
110 divided by 41 is 2 with a remainder of 28.
The next digit of our result is 2. 
Result so far: 173.8292
Subtract 82 from 110 to get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Let's proceed to step 9:
280 divided by 41 is 6 with a remainder of 34.
The number 6 becomes the next digit in our result. 
Result so far: 173.82926
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 10:
41 can be fit into 340 8 times, resulting in a remainder of 12.
Use 8 as the next digit of our solution. 
Result so far: 173.829268
Subtracting 328 from 340 leaves us 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 11:
When dividing 120 by 41, we get 2 with a remainder of 38.
Use 2 as the next digit of our solution. 
Result so far: 173.8292682
The remainder is 38 after subtracting 82 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Advancing to step 12:
The number 41 fits into 380 9 times, leaving a remainder of 11.
Write down 9 as next digit of the result. 
Result so far: 173.82926829
Deduct 369 from 380 and we're left 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.

The final result is 173.82926829 with a remainder of 1.1e-08.