We're dividing 578689 by 41 
We're looking to find how many times 41 goes into 578689.

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
Subtract 0 from 5 to get 5.
Bring next digit (7) of the dividend behind the 5 and repeat the process: 57 / 41

Let's proceed to step 2:
When dividing 57 by 41, we get 1 with a remainder of 16.
The next digit of our result is 1. 
Result so far: 1.0
Subtracting 41 from 57 leaves us 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.
Write down 4 as next digit of the result. 
Result so far: 14.0
If we subtract 164 from 168, we get 4.
Bring next digit (6) of the dividend behind the 4 and repeat the process: 46 / 41

Advancing to step 4:
41 can be fit into 46 1 times, resulting in a remainder of 5.
Use 1 as the next digit of our solution. 
Result so far: 141.0
If we take 41 away from 46, we end up with 5.
Append the next digit (8) from the dividend to 5 and continue with: 58 / 41

Going ahead to step 5:
When dividing 58 by 41, we get 1 with a remainder of 17.
The next digit of our result is 1. 
Result so far: 1411.0
If we subtract 41 from 58, we get 17.
Bring next digit (9) of the dividend behind the 17 and repeat the process: 179 / 41

Step 6:
The number 41 fits into 179 4 times, leaving a remainder of 15.
The number 4 becomes the next digit in our result. 
Result so far: 14114.0
Subtract 164 from 179 to get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Step 7:
If we divide 150 by 41, we get 3 and a remainder of 27.
Put 3 as the next digit of the answer. 
Result so far: 14114.3
Deduct 123 from 150 and we're left with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Let's proceed to step 8:
If we divide 270 by 41, we get 6 and a remainder of 24.
The number 6 becomes the next digit in our result. 
Result so far: 14114.36
Deduct 246 from 270 and we're left with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

On to step 9:
When dividing 240 by 41, we get 5 with a remainder of 35.
Write down 5 as next digit of the result. 
Result so far: 14114.365
Deduct 205 from 240 and we're left with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Advancing to step 10:
The number 41 fits into 350 8 times, leaving a remainder of 22.
The next digit of our result is 8. 
Result so far: 14114.3658
Subtract 328 from 350 to get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Let's proceed to step 11:
41 can be fit into 220 5 times, resulting in a remainder of 15.
Use 5 as the next digit of our solution. 
Result so far: 14114.36585
Subtracting 205 from 220 leaves us with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Step 12:
If we divide 150 by 41, we get 3 and a remainder of 27.
The number 3 becomes the next digit in our result. 
Result so far: 14114.365853
Subtracting 123 from 150 leaves us with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Step 13:
The number 41 fits into 270 6 times, leaving a remainder of 24.
Record the quotient 6 as the next digit in the result. 
Result so far: 14114.3658536
Subtracting 246 from 270 leaves us with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

On to step 14:
41 can be fit into 240 5 times, resulting in a remainder of 35.
Record the quotient 5 as the next digit in the result. 
Result so far: 14114.36585365
Deduct 205 from 240 and we're left with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

The final outcome is 14114.36585365, with a leftover of 3.5e-08.