Let's divide 277871 by 41
We're looking to find how many times 41 goes into 277871.

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
If we take 0 away from 2, we end up with 2.
Take the next digit (7) from the dividend and append it to 2, then repeat: 27 / 41

Going ahead to step 2:
When dividing 27 by 41, we get 0 with a remainder of 27.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 27 to get 27.
Fetch the next digit (7) from the dividend, attach it to 27 and continue: 277 / 41

Let's proceed to step 3:
41 goes into 277 6 times with a remainder of 31.
Use 6 as the next digit of our solution. 
Result so far: 6.0
If we subtract 246 from 277, we get 31.
Grab the next digit (8) from the dividend, add it to 31, then carry on: 318 / 41

Let's proceed to step 4:
41 can be fit into 318 7 times, resulting in a remainder of 31.
The number 7 becomes the next digit in our result. 
Result so far: 67.0
Subtracting 287 from 318 leaves us with 31.
Bring next digit (7) of the dividend behind the 31 and repeat the process: 317 / 41

Step 5:
The number 41 fits into 317 7 times, leaving a remainder of 30.
The next digit of our result is 7. 
Result so far: 677.0
If we subtract 287 from 317, we get 30.
Bring next digit (1) of the dividend behind the 30 and repeat the process: 301 / 41

Moving on to step 6:
When dividing 301 by 41, we get 7 with a remainder of 14.
The number 7 becomes the next digit in our result. 
Result so far: 6777.0
Subtract 287 from 301 to get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

On to step 7:
41 goes into 140 3 times with a remainder of 17.
The next digit of our result is 3. 
Result so far: 6777.3
Deduct 123 from 140 and we're left with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Going ahead to step 8:
If we divide 170 by 41, we get 4 and a remainder of 6.
Write down 4 as next digit of the result. 
Result so far: 6777.34
If we subtract 164 from 170, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

On to step 9:
41 can be fit into 60 1 times, resulting in a remainder of 19.
Write down 1 as next digit of the result. 
Result so far: 6777.341
Deduct 41 from 60 and we're left with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Advancing to step 10:
190 divided by 41 is 4 with a remainder of 26.
Use 4 as the next digit of our solution. 
Result so far: 6777.3414
Deduct 164 from 190 and we're left with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

On to step 11:
41 goes into 260 6 times with a remainder of 14.
Use 6 as the next digit of our solution. 
Result so far: 6777.34146
If we subtract 246 from 260, we get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

On to step 12:
If we divide 140 by 41, we get 3 and a remainder of 17.
The next digit of our result is 3. 
Result so far: 6777.341463
If we take 123 away from 140, we end up with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Advancing to step 13:
When dividing 170 by 41, we get 4 with a remainder of 6.
The number 4 becomes the next digit in our result. 
Result so far: 6777.3414634
Subtract 164 from 170 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 14:
When dividing 60 by 41, we get 1 with a remainder of 19.
The number 1 becomes the next digit in our result. 
Result so far: 6777.34146341
Deduct 41 from 60 and we're left with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

The final result is 6777.34146341 with a remainder of 1.9e-08.