We divide 877671 by 41
We want to divide 877671 by 41.

Moving on to step 1:
When dividing 8 by 41, we get 0 with a remainder of 8.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 8 to get 8.
Include the next digit (7) from the dividend after 8, then repeat: 87 / 41

On to step 2:
If we divide 87 by 41, we get 2 and a remainder of 5.
Put 2 as the next digit of the answer. 
Result so far: 2.0
If we take 82 away from 87, we end up with 5.
Bring next digit (7) of the dividend behind the 5 and repeat the process: 57 / 41

Step 3:
57 divided by 41 is 1 with a remainder of 16.
Record the quotient 1 as the next digit in the result. 
Result so far: 21.0
Subtracting 41 from 57 leaves us with 16.
Take the next digit (6) from the dividend and append it to 16, then repeat: 166 / 41

Advancing to step 4:
The number 41 fits into 166 4 times, leaving a remainder of 2.
The next digit of our result is 4. 
Result so far: 214.0
Subtracting 164 from 166 leaves us with 2.
Take the next digit (7) from the dividend and append it to 2, then repeat: 27 / 41

Going ahead to step 5:
27 divided by 41 is 0 with a remainder of 27.
The number 0 becomes the next digit in our result. 
Result so far: 2140.0
If we subtract 0 from 27, we get 27.
Grab the next digit (1) from the dividend, add it to 27, then carry on: 271 / 41

Going ahead to step 6:
If we divide 271 by 41, we get 6 and a remainder of 25.
Write down 6 as next digit of the result. 
Result so far: 21406.0
Deduct 246 from 271 and we're left 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.

On to step 7:
When dividing 250 by 41, we get 6 with a remainder of 4.
The number 6 becomes the next digit in our result. 
Result so far: 21406.6
If we subtract 246 from 250, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 8:
The number 41 fits into 40 0 times, leaving a remainder of 40.
Put 0 as the next digit of the answer. 
Result so far: 21406.6
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.

Going ahead to step 9:
When dividing 400 by 41, we get 9 with a remainder of 31.
The number 9 becomes the next digit in our result. 
Result so far: 21406.609
Deduct 369 from 400 and we're left 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.

Advancing to step 10:
41 goes into 310 7 times with a remainder of 23.
Record the quotient 7 as the next digit in the result. 
Result so far: 21406.6097
Subtract 287 from 310 to 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.

Step 11:
If we divide 230 by 41, we get 5 and a remainder of 25.
Record the quotient 5 as the next digit in the result. 
Result so far: 21406.60975
If we subtract 205 from 230, we 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.

Moving on to step 12:
250 divided by 41 is 6 with a remainder of 4.
The next digit of our result is 6. 
Result so far: 21406.609756
Deduct 246 from 250 and we're left 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.

Going ahead to step 13:
When dividing 40 by 41, we get 0 with a remainder of 40.
Use 0 as the next digit of our solution. 
Result so far: 21406.609756
Deduct 0 from 40 and we're left with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Step 14:
When dividing 400 by 41, we get 9 with a remainder of 31.
The next digit of our result is 9. 
Result so far: 21406.60975609
Subtract 369 from 400 to get 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Our division results in 21406.60975609 with a remaining 3.1e-08.