687413 ÷ 41 
Let's see how many times 41 fits into 687413.

Moving on to step 1:
41 can be fit into 6 0 times, resulting in a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Include the next digit (8) from the dividend after 6, then repeat: 68 / 41

Step 2:
68 divided by 41 is 1 with a remainder of 27.
The next digit of our result is 1. 
Result so far: 1.0
The remainder is 27 after subtracting 41 from 68.
Fetch the next digit (7) from the dividend, attach it to 27 and continue: 277 / 41

Going ahead to step 3:
The number 41 fits into 277 6 times, leaving a remainder of 31.
Put 6 as the next digit of the answer. 
Result so far: 16.0
Subtracting 246 from 277 leaves us with 31.
Fetch the next digit (4) from the dividend, attach it to 31 and continue: 314 / 41

On to step 4:
41 can be fit into 314 7 times, resulting in a remainder of 27.
Use 7 as the next digit of our solution. 
Result so far: 167.0
If we take 287 away from 314, we end up with 27.
Include the next digit (1) from the dividend after 27, then repeat: 271 / 41

Moving on to step 5:
When dividing 271 by 41, we get 6 with a remainder of 25.
The number 6 becomes the next digit in our result. 
Result so far: 1676.0
The remainder is 25 after subtracting 246 from 271.
Append the next digit (3) from the dividend to 25 and continue with: 253 / 41

Advancing to step 6:
The number 41 fits into 253 6 times, leaving a remainder of 7.
The number 6 becomes the next digit in our result. 
Result so far: 16766.0
The remainder is 7 after subtracting 246 from 253.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Going ahead to step 7:
When dividing 70 by 41, we get 1 with a remainder of 29.
The number 1 becomes the next digit in our result. 
Result so far: 16766.1
If we take 41 away from 70, we end up with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Let's proceed to step 8:
When dividing 290 by 41, we get 7 with a remainder of 3.
Write down 7 as next digit of the result. 
Result so far: 16766.17
If we take 287 away from 290, we end up with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Let's proceed to step 9:
41 goes into 30 0 times with a remainder of 30.
Use 0 as the next digit of our solution. 
Result so far: 16766.17
If we subtract 0 from 30, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Step 10:
41 goes into 300 7 times with a remainder of 13.
Put 7 as the next digit of the answer. 
Result so far: 16766.1707
The remainder is 13 after subtracting 287 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Moving on to step 11:
41 goes into 130 3 times with a remainder of 7.
The next digit of our result is 3. 
Result so far: 16766.17073
Subtracting 123 from 130 leaves us with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Advancing to step 12:
41 goes into 70 1 times with a remainder of 29.
Write down 1 as next digit of the result. 
Result so far: 16766.170731
Subtracting 41 from 70 leaves us with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Advancing to step 13:
41 goes into 290 7 times with a remainder of 3.
Use 7 as the next digit of our solution. 
Result so far: 16766.1707317
If we subtract 287 from 290, we get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Going ahead to step 14:
If we divide 30 by 41, we get 0 and a remainder of 30.
Write down 0 as next digit of the result. 
Result so far: 16766.1707317
Deduct 0 from 30 and we're left with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Our division results in 16766.1707317 with a remaining 3e-08.