821797 ÷ 41 
We want to figure out the number of times 821797 can be divided by 41.

Moving on to step 1:
8 divided by 41 is 0 with a remainder of 8.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 8, we get 8.
Append the next digit (2) from the dividend to 8 and continue with: 82 / 41

Advancing to step 2:
41 goes into 82 2 times with a remainder of 0.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
If we take 82 away from 82, we end up with 0.
Fetch the next digit (1) from the dividend, attach it to 0 and continue: 1 / 41

Let's proceed to step 3:
When dividing 1 by 41, we get 0 with a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 20.0
If we subtract 0 from 1, we get 1.
Bring next digit (7) of the dividend behind the 1 and repeat the process: 17 / 41

Advancing to step 4:
17 divided by 41 is 0 with a remainder of 17.
Record the quotient 0 as the next digit in the result. 
Result so far: 200.0
Subtract 0 from 17 to get 17.
Bring next digit (9) of the dividend behind the 17 and repeat the process: 179 / 41

Going ahead to step 5:
41 goes into 179 4 times with a remainder of 15.
Use 4 as the next digit of our solution. 
Result so far: 2004.0
Subtracting 164 from 179 leaves us with 15.
Include the next digit (7) from the dividend after 15, then repeat: 157 / 41

Let's proceed to step 6:
If we divide 157 by 41, we get 3 and a remainder of 34.
The number 3 becomes the next digit in our result. 
Result so far: 20043.0
Deduct 123 from 157 and we're left 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.

Advancing to step 7:
41 can be fit into 340 8 times, resulting in a remainder of 12.
The next digit of our result is 8. 
Result so far: 20043.8
Subtracting 328 from 340 leaves us 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.

Step 8:
120 divided by 41 is 2 with a remainder of 38.
Use 2 as the next digit of our solution. 
Result so far: 20043.82
Deduct 82 from 120 and we're left 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.

Moving on to step 9:
If we divide 380 by 41, we get 9 and a remainder of 11.
Put 9 as the next digit of the answer. 
Result so far: 20043.829
The remainder is 11 after subtracting 369 from 380.
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 10:
41 can be fit into 110 2 times, resulting in a remainder of 28.
Use 2 as the next digit of our solution. 
Result so far: 20043.8292
The remainder is 28 after subtracting 82 from 110.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Let's proceed to step 11:
41 goes into 280 6 times with a remainder of 34.
The number 6 becomes the next digit in our result. 
Result so far: 20043.82926
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.

Step 12:
When dividing 340 by 41, we get 8 with a remainder of 12.
Put 8 as the next digit of the answer. 
Result so far: 20043.829268
Subtract 328 from 340 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Step 13:
41 can be fit into 120 2 times, resulting in a remainder of 38.
Write down 2 as next digit of the result. 
Result so far: 20043.8292682
Subtracting 82 from 120 leaves us 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.

Advancing to step 14:
380 divided by 41 is 9 with a remainder of 11.
Put 9 as the next digit of the answer. 
Result so far: 20043.82926829
Subtract 369 from 380 to get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

In conclusion, the division gives 20043.82926829 with a balance of 1.1e-08.