We're dividing 682681 by 41 
We want to divide 682681 by 41.

Let's proceed to step 1:
41 can be fit into 6 0 times, resulting in a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Append the next digit (8) from the dividend to 6 and continue with: 68 / 41

Going ahead to step 2:
If we divide 68 by 41, we get 1 and a remainder of 27.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtracting 41 from 68 leaves us with 27.
Take the next digit (2) from the dividend and append it to 27, then repeat: 272 / 41

Going ahead to step 3:
41 can be fit into 272 6 times, resulting in a remainder of 26.
Write down 6 as next digit of the result. 
Result so far: 16.0
Deduct 246 from 272 and we're left with 26.
Append the next digit (6) from the dividend to 26 and continue with: 266 / 41

On to step 4:
41 goes into 266 6 times with a remainder of 20.
Use 6 as the next digit of our solution. 
Result so far: 166.0
Deduct 246 from 266 and we're left with 20.
Take the next digit (8) from the dividend and append it to 20, then repeat: 208 / 41

Going ahead to step 5:
41 can be fit into 208 5 times, resulting in a remainder of 3.
The next digit of our result is 5. 
Result so far: 1665.0
The remainder is 3 after subtracting 205 from 208.
Fetch the next digit (1) from the dividend, attach it to 3 and continue: 31 / 41

Let's proceed to step 6:
41 goes into 31 0 times with a remainder of 31.
Write down 0 as next digit of the result. 
Result so far: 16650.0
Subtract 0 from 31 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.

Moving on to step 7:
41 can be fit into 310 7 times, resulting in a remainder of 23.
Use 7 as the next digit of our solution. 
Result so far: 16650.7
Subtracting 287 from 310 leaves us with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

On to step 8:
The number 41 fits into 230 5 times, leaving a remainder of 25.
Record the quotient 5 as the next digit in the result. 
Result so far: 16650.75
Deduct 205 from 230 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 9:
41 can be fit into 250 6 times, resulting in a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 16650.756
Subtracting 246 from 250 leaves us 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.

On to step 10:
41 goes into 40 0 times with a remainder of 40.
Record the quotient 0 as the next digit in the result. 
Result so far: 16650.756
Subtracting 0 from 40 leaves us 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.

Let's proceed to step 11:
If we divide 400 by 41, we get 9 and a remainder of 31.
The number 9 becomes the next digit in our result. 
Result so far: 16650.75609
If we subtract 369 from 400, we 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.

Step 12:
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: 16650.756097
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.

Let's proceed to step 13:
41 can be fit into 230 5 times, resulting in a remainder of 25.
Use 5 as the next digit of our solution. 
Result so far: 16650.7560975
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.

Advancing to step 14:
41 goes into 250 6 times with a remainder of 4.
The next digit of our result is 6. 
Result so far: 16650.75609756
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 quotient of the division is 16650.75609756, and the remainder is 4e-09.