We look at the division of 41231 by 79 
Our goal is to divide 41231 by 79.

Let's proceed to step 1:
79 can be fit into 4 0 times, resulting in a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Grab the next digit (1) from the dividend, add it to 4, then carry on: 41 / 79

On to step 2:
41 divided by 79 is 0 with a remainder of 41.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 41, we end up with 41.
Include the next digit (2) from the dividend after 41, then repeat: 412 / 79

Let's proceed to step 3:
412 divided by 79 is 5 with a remainder of 17.
Put 5 as the next digit of the answer. 
Result so far: 5.0
If we take 395 away from 412, we end up with 17.
Include the next digit (3) from the dividend after 17, then repeat: 173 / 79

On to step 4:
When dividing 173 by 79, we get 2 with a remainder of 15.
The next digit of our result is 2. 
Result so far: 52.0
The remainder is 15 after subtracting 158 from 173.
Append the next digit (1) from the dividend to 15 and continue with: 151 / 79

Advancing to step 5:
The number 79 fits into 151 1 times, leaving a remainder of 72.
The next digit of our result is 1. 
Result so far: 521.0
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.

Moving on to step 6:
When dividing 720 by 79, we get 9 with a remainder of 9.
The number 9 becomes the next digit in our result. 
Result so far: 521.9
Subtract 711 from 720 to get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Advancing to step 7:
90 divided by 79 is 1 with a remainder of 11.
The number 1 becomes the next digit in our result. 
Result so far: 521.91
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.

Step 8:
79 can be fit into 110 1 times, resulting in a remainder of 31.
Record the quotient 1 as the next digit in the result. 
Result so far: 521.911
Subtract 79 from 110 to 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.

In conclusion, the division gives 521.911 with a balance of 0.0031.