41360 ÷ 79 
Our goal is to divide 41360 by 79.

Advancing to step 1:
79 goes into 4 0 times with a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Fetch the next digit (1) from the dividend, attach it to 4 and continue: 41 / 79

On to step 2:
79 can be fit into 41 0 times, resulting in a remainder of 41.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 41, we end up with 41.
Bring next digit (3) of the dividend behind the 41 and repeat the process: 413 / 79

Let's proceed to step 3:
When dividing 413 by 79, we get 5 with a remainder of 18.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
The remainder is 18 after subtracting 395 from 413.
Grab the next digit (6) from the dividend, add it to 18, then carry on: 186 / 79

On to step 4:
The number 79 fits into 186 2 times, leaving a remainder of 28.
Write down 2 as next digit of the result. 
Result so far: 52.0
Subtracting 158 from 186 leaves us with 28.
Fetch the next digit (0) from the dividend, attach it to 28 and continue: 280 / 79

Advancing to step 5:
79 goes into 280 3 times with a remainder of 43.
Use 3 as the next digit of our solution. 
Result so far: 523.0
The remainder is 43 after subtracting 237 from 280.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Going ahead to step 6:
The number 79 fits into 430 5 times, leaving a remainder of 35.
The next digit of our result is 5. 
Result so far: 523.5
If we subtract 395 from 430, we get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Going ahead to step 7:
79 can be fit into 350 4 times, resulting in a remainder of 34.
The next digit of our result is 4. 
Result so far: 523.54
Subtract 316 from 350 to 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.

On to step 8:
The number 79 fits into 340 4 times, leaving a remainder of 24.
Write down 4 as next digit of the result. 
Result so far: 523.544
Subtract 316 from 340 to get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

The final outcome is 523.544, with a leftover of 0.0024.