Let's divide 41006 by 41
Our goal is to divide 41006 by 41.

Let's proceed to step 1:
41 goes into 4 0 times with a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Fetch the next digit (1) from the dividend, attach it to 4 and continue: 41 / 41

Step 2:
41 divided by 41 is 1 with a remainder of 0.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we subtract 41 from 41, we get 0.
Bring next digit (0) of the dividend behind the 0 and repeat the process: 0 / 41

On to step 3:
0 divided by 41 is 0 with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 10.0
Subtracting 0 from 0 leaves us with 0.
Take the next digit (0) from the dividend and append it to 0, then repeat: 0 / 41

Let's proceed to step 4:
41 goes into 0 0 times with a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 100.0
If we subtract 0 from 0, we get 0.
Take the next digit (6) from the dividend and append it to 0, then repeat: 6 / 41

Advancing to step 5:
If we divide 6 by 41, we get 0 and a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 1000.0
Subtracting 0 from 6 leaves us with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 6:
41 can be fit into 60 1 times, resulting in a remainder of 19.
The number 1 becomes the next digit in our result. 
Result so far: 1000.1
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.

Let's proceed to step 7:
190 divided by 41 is 4 with a remainder of 26.
The next digit of our result is 4. 
Result so far: 1000.14
The remainder is 26 after subtracting 164 from 190.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Moving on to step 8:
If we divide 260 by 41, we get 6 and a remainder of 14.
Record the quotient 6 as the next digit in the result. 
Result so far: 1000.146
Subtracting 246 from 260 leaves us with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Moving on to step 9:
When dividing 140 by 41, we get 3 with a remainder of 17.
Write down 3 as next digit of the result. 
Result so far: 1000.1463
Subtract 123 from 140 to get 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 10:
41 goes into 170 4 times with a remainder of 6.
Use 4 as the next digit of our solution. 
Result so far: 1000.14634
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.

Moving on to step 11:
41 can be fit into 60 1 times, resulting in a remainder of 19.
Use 1 as the next digit of our solution. 
Result so far: 1000.146341
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 12:
If we divide 190 by 41, we get 4 and a remainder of 26.
Put 4 as the next digit of the answer. 
Result so far: 1000.1463414
Subtract 164 from 190 to get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Advancing to step 13:
When dividing 260 by 41, we get 6 with a remainder of 14.
The number 6 becomes the next digit in our result. 
Result so far: 1000.14634146
Subtracting 246 from 260 leaves us with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

In conclusion, the division gives 1000.14634146 with a balance of 1.4e-08.