We're dividing 578069 by 41 
Let's see how many times 41 fits into 578069.

Let's proceed to step 1:
If we divide 5 by 41, we get 0 and a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Append the next digit (7) from the dividend to 5 and continue with: 57 / 41

On to step 2:
If we divide 57 by 41, we get 1 and a remainder of 16.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we take 41 away from 57, we end up with 16.
Fetch the next digit (8) from the dividend, attach it to 16 and continue: 168 / 41

Step 3:
168 divided by 41 is 4 with a remainder of 4.
Use 4 as the next digit of our solution. 
Result so far: 14.0
The remainder is 4 after subtracting 164 from 168.
Fetch the next digit (0) from the dividend, attach it to 4 and continue: 40 / 41

Moving on to step 4:
40 divided by 41 is 0 with a remainder of 40.
The number 0 becomes the next digit in our result. 
Result so far: 140.0
If we take 0 away from 40, we end up with 40.
Bring next digit (6) of the dividend behind the 40 and repeat the process: 406 / 41

Let's proceed to step 5:
41 can be fit into 406 9 times, resulting in a remainder of 37.
The number 9 becomes the next digit in our result. 
Result so far: 1409.0
If we subtract 369 from 406, we get 37.
Take the next digit (9) from the dividend and append it to 37, then repeat: 379 / 41

Moving on to step 6:
41 goes into 379 9 times with a remainder of 10.
Put 9 as the next digit of the answer. 
Result so far: 14099.0
If we subtract 369 from 379, we 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.

Moving on to step 7:
41 goes into 100 2 times with a remainder of 18.
Put 2 as the next digit of the answer. 
Result so far: 14099.2
Subtract 82 from 100 to get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Step 8:
If we divide 180 by 41, we get 4 and a remainder of 16.
Record the quotient 4 as the next digit in the result. 
Result so far: 14099.24
Deduct 164 from 180 and we're left with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Moving on to step 9:
If we divide 160 by 41, we get 3 and a remainder of 37.
The next digit of our result is 3. 
Result so far: 14099.243
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.

Step 10:
41 goes into 370 9 times with a remainder of 1.
Put 9 as the next digit of the answer. 
Result so far: 14099.2439
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.

Going ahead to step 11:
41 can be fit into 10 0 times, resulting in a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 14099.2439
The remainder is 10 after subtracting 0 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 12:
If we divide 100 by 41, we get 2 and a remainder of 18.
The next digit of our result is 2. 
Result so far: 14099.243902
Subtract 82 from 100 to get 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 13:
If we divide 180 by 41, we get 4 and a remainder of 16.
The next digit of our result is 4. 
Result so far: 14099.2439024
Subtract 164 from 180 to 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.

On to step 14:
41 can be fit into 160 3 times, resulting in a remainder of 37.
Use 3 as the next digit of our solution. 
Result so far: 14099.24390243
The remainder is 37 after subtracting 123 from 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

The final result is 14099.24390243 with a remainder of 3.7e-08.