We look at the division of 413321 by 79 
We want to divide 413321 by 79.

Moving on to step 1:
If we divide 4 by 79, we get 0 and a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Include the next digit (1) from the dividend after 4, then repeat: 41 / 79

Let's proceed to step 2:
79 can be fit into 41 0 times, resulting in a remainder of 41.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 41 and we're left with 41.
Include the next digit (3) from the dividend after 41, then repeat: 413 / 79

Advancing to step 3:
If we divide 413 by 79, we get 5 and a remainder of 18.
Put 5 as the next digit of the answer. 
Result so far: 5.0
If we take 395 away from 413, we end up with 18.
Take the next digit (3) from the dividend and append it to 18, then repeat: 183 / 79

Let's proceed to step 4:
If we divide 183 by 79, we get 2 and a remainder of 25.
Use 2 as the next digit of our solution. 
Result so far: 52.0
Subtracting 158 from 183 leaves us with 25.
Include the next digit (2) from the dividend after 25, then repeat: 252 / 79

Step 5:
79 goes into 252 3 times with a remainder of 15.
Record the quotient 3 as the next digit in the result. 
Result so far: 523.0
The remainder is 15 after subtracting 237 from 252.
Append the next digit (1) from the dividend to 15 and continue with: 151 / 79

On to step 6:
151 divided by 79 is 1 with a remainder of 72.
Use 1 as the next digit of our solution. 
Result so far: 5231.0
Subtract 79 from 151 to get 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

Step 7:
79 can be fit into 720 9 times, resulting in a remainder of 9.
Use 9 as the next digit of our solution. 
Result so far: 5231.9
The remainder is 9 after subtracting 711 from 720.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Let's proceed to step 8:
The number 79 fits into 90 1 times, leaving a remainder of 11.
Write down 1 as next digit of the result. 
Result so far: 5231.91
Deduct 79 from 90 and we're left with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Advancing to step 9:
79 can be fit into 110 1 times, resulting in a remainder of 31.
The next digit of our result is 1. 
Result so far: 5231.911
If we subtract 79 from 110, we get 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

The final result is 5231.911 with a remainder of 0.0031.