We divide 416106 by 41
Our goal is to divide 416106 by 41.

Let's proceed to step 1:
41 goes into 4 0 times with a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Append the next digit (1) from the dividend to 4 and continue with: 41 / 41

Going ahead to step 2:
If we divide 41 by 41, we get 1 and a remainder of 0.
Write down 1 as next digit of the result. 
Result so far: 1.0
The remainder is 0 after subtracting 41 from 41.
Take the next digit (6) from the dividend and append it to 0, then repeat: 6 / 41

Step 3:
When dividing 6 by 41, we get 0 with a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 10.0
If we take 0 away from 6, we end up with 6.
Include the next digit (1) from the dividend after 6, then repeat: 61 / 41

Going ahead to step 4:
41 goes into 61 1 times with a remainder of 20.
Use 1 as the next digit of our solution. 
Result so far: 101.0
If we take 41 away from 61, we end up with 20.
Bring next digit (0) of the dividend behind the 20 and repeat the process: 200 / 41

Step 5:
The number 41 fits into 200 4 times, leaving a remainder of 36.
Put 4 as the next digit of the answer. 
Result so far: 1014.0
If we subtract 164 from 200, we get 36.
Fetch the next digit (6) from the dividend, attach it to 36 and continue: 366 / 41

Going ahead to step 6:
366 divided by 41 is 8 with a remainder of 38.
Put 8 as the next digit of the answer. 
Result so far: 10148.0
If we take 328 away from 366, we end up with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Let's proceed to step 7:
41 goes into 380 9 times with a remainder of 11.
Record the quotient 9 as the next digit in the result. 
Result so far: 10148.9
Subtracting 369 from 380 leaves us with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Moving on to step 8:
The number 41 fits into 110 2 times, leaving a remainder of 28.
Put 2 as the next digit of the answer. 
Result so far: 10148.92
If we take 82 away from 110, we end up with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Step 9:
41 goes into 280 6 times with a remainder of 34.
Write down 6 as next digit of the result. 
Result so far: 10148.926
Subtracting 246 from 280 leaves us with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Let's proceed to step 10:
If we divide 340 by 41, we get 8 and a remainder of 12.
The number 8 becomes the next digit in our result. 
Result so far: 10148.9268
If we take 328 away from 340, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Advancing to step 11:
The number 41 fits into 120 2 times, leaving a remainder of 38.
Record the quotient 2 as the next digit in the result. 
Result so far: 10148.92682
If we subtract 82 from 120, we get 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Going ahead to step 12:
When dividing 380 by 41, we get 9 with a remainder of 11.
Record the quotient 9 as the next digit in the result. 
Result so far: 10148.926829
If we take 369 away from 380, we end up with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

On to step 13:
If we divide 110 by 41, we get 2 and a remainder of 28.
Use 2 as the next digit of our solution. 
Result so far: 10148.9268292
Subtracting 82 from 110 leaves us with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Moving on to step 14:
280 divided by 41 is 6 with a remainder of 34.
Use 6 as the next digit of our solution. 
Result so far: 10148.92682926
If we subtract 246 from 280, we get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

The final result is 10148.92682926 with a remainder of 3.4e-08.