826619 ÷ 41 
Our goal is to divide 826619 by 41.

Advancing to step 1:
When dividing 8 by 41, we get 0 with a remainder of 8.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 8, we end up with 8.
Append the next digit (2) from the dividend to 8 and continue with: 82 / 41

On to step 2:
If we divide 82 by 41, we get 2 and a remainder of 0.
The next digit of our result is 2. 
Result so far: 2.0
Deduct 82 from 82 and we're left with 0.
Grab the next digit (6) from the dividend, add it to 0, then carry on: 6 / 41

Let's proceed to step 3:
If we divide 6 by 41, we get 0 and a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 20.0
Subtracting 0 from 6 leaves us with 6.
Append the next digit (6) from the dividend to 6 and continue with: 66 / 41

Step 4:
When dividing 66 by 41, we get 1 with a remainder of 25.
Use 1 as the next digit of our solution. 
Result so far: 201.0
Subtract 41 from 66 to get 25.
Bring next digit (1) of the dividend behind the 25 and repeat the process: 251 / 41

Moving on to step 5:
41 goes into 251 6 times with a remainder of 5.
The next digit of our result is 6. 
Result so far: 2016.0
The remainder is 5 after subtracting 246 from 251.
Include the next digit (9) from the dividend after 5, then repeat: 59 / 41

Step 6:
The number 41 fits into 59 1 times, leaving a remainder of 18.
The number 1 becomes the next digit in our result. 
Result so far: 20161.0
Deduct 41 from 59 and we're left with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Moving on to step 7:
If we divide 180 by 41, we get 4 and a remainder of 16.
The number 4 becomes the next digit in our result. 
Result so far: 20161.4
The remainder is 16 after subtracting 164 from 180.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

On to step 8:
When dividing 160 by 41, we get 3 with a remainder of 37.
The next digit of our result is 3. 
Result so far: 20161.43
Deduct 123 from 160 and we're left with 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Let's proceed to step 9:
41 can be fit into 370 9 times, resulting in a remainder of 1.
The number 9 becomes the next digit in our result. 
Result so far: 20161.439
Deduct 369 from 370 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Going ahead to step 10:
When dividing 10 by 41, we get 0 with a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 20161.439
Subtract 0 from 10 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 11:
100 divided by 41 is 2 with a remainder of 18.
Record the quotient 2 as the next digit in the result. 
Result so far: 20161.43902
Subtracting 82 from 100 leaves us with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Let's proceed to step 12:
41 goes into 180 4 times with a remainder of 16.
Record the quotient 4 as the next digit in the result. 
Result so far: 20161.439024
If we subtract 164 from 180, we get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Step 13:
160 divided by 41 is 3 with a remainder of 37.
Record the quotient 3 as the next digit in the result. 
Result so far: 20161.4390243
Subtract 123 from 160 to get 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

On to step 14:
If we divide 370 by 41, we get 9 and a remainder of 1.
Use 9 as the next digit of our solution. 
Result so far: 20161.43902439
The remainder is 1 after subtracting 369 from 370.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

After the division, we end up with 20161.43902439 and a remainder of 1e-09.