We look at the division of 768188 by 41 
Our goal is to divide 768188 by 41.

Going ahead to step 1:
When dividing 7 by 41, we get 0 with a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 7 and we're left with 7.
Bring next digit (6) of the dividend behind the 7 and repeat the process: 76 / 41

Advancing to step 2:
76 divided by 41 is 1 with a remainder of 35.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Deduct 41 from 76 and we're left with 35.
Include the next digit (8) from the dividend after 35, then repeat: 358 / 41

Let's proceed to step 3:
358 divided by 41 is 8 with a remainder of 30.
Record the quotient 8 as the next digit in the result. 
Result so far: 18.0
Subtract 328 from 358 to get 30.
Append the next digit (1) from the dividend to 30 and continue with: 301 / 41

Moving on to step 4:
If we divide 301 by 41, we get 7 and a remainder of 14.
Use 7 as the next digit of our solution. 
Result so far: 187.0
If we subtract 287 from 301, we get 14.
Include the next digit (8) from the dividend after 14, then repeat: 148 / 41

Advancing to step 5:
41 goes into 148 3 times with a remainder of 25.
The next digit of our result is 3. 
Result so far: 1873.0
If we take 123 away from 148, we end up with 25.
Grab the next digit (8) from the dividend, add it to 25, then carry on: 258 / 41

Let's proceed to step 6:
When dividing 258 by 41, we get 6 with a remainder of 12.
Put 6 as the next digit of the answer. 
Result so far: 18736.0
Deduct 246 from 258 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.

Step 7:
41 goes into 120 2 times with a remainder of 38.
The number 2 becomes the next digit in our result. 
Result so far: 18736.2
If we subtract 82 from 120, we get 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Moving on to step 8:
If we divide 380 by 41, we get 9 and a remainder of 11.
The next digit of our result is 9. 
Result so far: 18736.29
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 9:
41 can be fit into 110 2 times, resulting in a remainder of 28.
Write down 2 as next digit of the result. 
Result so far: 18736.292
If we subtract 82 from 110, we 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.

Advancing to step 10:
The number 41 fits into 280 6 times, leaving a remainder of 34.
The number 6 becomes the next digit in our result. 
Result so far: 18736.2926
The remainder is 34 after subtracting 246 from 280.
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 11:
The number 41 fits into 340 8 times, leaving a remainder of 12.
The number 8 becomes the next digit in our result. 
Result so far: 18736.29268
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.

Advancing to step 12:
When dividing 120 by 41, we get 2 with a remainder of 38.
The next digit of our result is 2. 
Result so far: 18736.292682
If we subtract 82 from 120, we get 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 13:
380 divided by 41 is 9 with a remainder of 11.
Use 9 as the next digit of our solution. 
Result so far: 18736.2926829
If we subtract 369 from 380, we get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Step 14:
41 goes into 110 2 times with a remainder of 28.
Write down 2 as next digit of the result. 
Result so far: 18736.29268292
The remainder is 28 after subtracting 82 from 110.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Our division results in 18736.29268292 with a remaining 2.8e-08.