103679 ÷ 41 
Let's see how many times 41 fits into 103679.

Going ahead to step 1:
41 can be fit into 1 0 times, resulting in a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Bring next digit (0) of the dividend behind the 1 and repeat the process: 10 / 41

Going ahead to step 2:
41 can be fit into 10 0 times, resulting in a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 10, we end up with 10.
Include the next digit (3) from the dividend after 10, then repeat: 103 / 41

Going ahead to step 3:
If we divide 103 by 41, we get 2 and a remainder of 21.
Put 2 as the next digit of the answer. 
Result so far: 2.0
Subtracting 82 from 103 leaves us with 21.
Append the next digit (6) from the dividend to 21 and continue with: 216 / 41

Let's proceed to step 4:
41 goes into 216 5 times with a remainder of 11.
Put 5 as the next digit of the answer. 
Result so far: 25.0
Deduct 205 from 216 and we're left with 11.
Include the next digit (7) from the dividend after 11, then repeat: 117 / 41

Advancing to step 5:
If we divide 117 by 41, we get 2 and a remainder of 35.
Use 2 as the next digit of our solution. 
Result so far: 252.0
The remainder is 35 after subtracting 82 from 117.
Append the next digit (9) from the dividend to 35 and continue with: 359 / 41

Step 6:
The number 41 fits into 359 8 times, leaving a remainder of 31.
Put 8 as the next digit of the answer. 
Result so far: 2528.0
Subtract 328 from 359 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.

Step 7:
310 divided by 41 is 7 with a remainder of 23.
Put 7 as the next digit of the answer. 
Result so far: 2528.7
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.

On to step 8:
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: 2528.75
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.

Let's proceed to step 9:
250 divided by 41 is 6 with a remainder of 4.
The number 6 becomes the next digit in our result. 
Result so far: 2528.756
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.

On to step 10:
When dividing 40 by 41, we get 0 with a remainder of 40.
Write down 0 as next digit of the result. 
Result so far: 2528.756
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.

Moving on to step 11:
When dividing 400 by 41, we get 9 with a remainder of 31.
Write down 9 as next digit of the result. 
Result so far: 2528.75609
Subtracting 369 from 400 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.

Going ahead to step 12:
310 divided by 41 is 7 with a remainder of 23.
Put 7 as the next digit of the answer. 
Result so far: 2528.756097
If we take 287 away from 310, we end up 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.

Moving on to step 13:
If we divide 230 by 41, we get 5 and a remainder of 25.
Use 5 as the next digit of our solution. 
Result so far: 2528.7560975
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 14:
250 divided by 41 is 6 with a remainder of 4.
The next digit of our result is 6. 
Result so far: 2528.75609756
Subtract 246 from 250 to 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.

Our division results in 2528.75609756 with a remaining 4e-09.