We look at the division of 278626 by 41 
We want to divide 278626 by 41.

Advancing to step 1:
If we divide 2 by 41, we get 0 and a remainder of 2.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 2 leaves us with 2.
Fetch the next digit (7) from the dividend, attach it to 2 and continue: 27 / 41

Step 2:
The number 41 fits into 27 0 times, leaving a remainder of 27.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 27 leaves us with 27.
Include the next digit (8) from the dividend after 27, then repeat: 278 / 41

On to step 3:
If we divide 278 by 41, we get 6 and a remainder of 32.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
If we take 246 away from 278, we end up with 32.
Bring next digit (6) of the dividend behind the 32 and repeat the process: 326 / 41

Moving on to step 4:
If we divide 326 by 41, we get 7 and a remainder of 39.
The next digit of our result is 7. 
Result so far: 67.0
The remainder is 39 after subtracting 287 from 326.
Fetch the next digit (2) from the dividend, attach it to 39 and continue: 392 / 41

Step 5:
41 can be fit into 392 9 times, resulting in a remainder of 23.
Write down 9 as next digit of the result. 
Result so far: 679.0
The remainder is 23 after subtracting 369 from 392.
Bring next digit (6) of the dividend behind the 23 and repeat the process: 236 / 41

On to step 6:
When dividing 236 by 41, we get 5 with a remainder of 31.
Write down 5 as next digit of the result. 
Result so far: 6795.0
Subtracting 205 from 236 leaves us 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.

Moving on to step 7:
If we divide 310 by 41, we get 7 and a remainder of 23.
The next digit of our result is 7. 
Result so far: 6795.7
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.

Step 8:
41 goes into 230 5 times with a remainder of 25.
Use 5 as the next digit of our solution. 
Result so far: 6795.75
Subtract 205 from 230 to get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Let's proceed to step 9:
41 goes into 250 6 times with a remainder of 4.
The number 6 becomes the next digit in our result. 
Result so far: 6795.756
The remainder is 4 after subtracting 246 from 250.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 10:
The number 41 fits into 40 0 times, leaving a remainder of 40.
The next digit of our result is 0. 
Result so far: 6795.756
If we subtract 0 from 40, we 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.

Advancing to step 11:
If we divide 400 by 41, we get 9 and a remainder of 31.
The next digit of our result is 9. 
Result so far: 6795.75609
The remainder is 31 after subtracting 369 from 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Let's proceed to step 12:
The number 41 fits into 310 7 times, leaving a remainder of 23.
Record the quotient 7 as the next digit in the result. 
Result so far: 6795.756097
If we subtract 287 from 310, we get 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Going ahead to step 13:
41 goes into 230 5 times with a remainder of 25.
Put 5 as the next digit of the answer. 
Result so far: 6795.7560975
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 14:
41 goes into 250 6 times with a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 6795.75609756
If we take 246 away from 250, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

The final result is 6795.75609756 with a remainder of 4e-09.