We're dividing 45829 by 79 
Let's see how many times 79 fits into 45829.

Let's proceed to step 1:
79 can be fit into 4 0 times, resulting in a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Bring next digit (5) of the dividend behind the 4 and repeat the process: 45 / 79

On to step 2:
If we divide 45 by 79, we get 0 and a remainder of 45.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 45 after subtracting 0 from 45.
Bring next digit (8) of the dividend behind the 45 and repeat the process: 458 / 79

Going ahead to step 3:
When dividing 458 by 79, we get 5 with a remainder of 63.
Use 5 as the next digit of our solution. 
Result so far: 5.0
Subtract 395 from 458 to get 63.
Append the next digit (2) from the dividend to 63 and continue with: 632 / 79

Step 4:
The number 79 fits into 632 8 times, leaving a remainder of 0.
Write down 8 as next digit of the result. 
Result so far: 58.0
The remainder is 0 after subtracting 632 from 632.
Bring next digit (9) of the dividend behind the 0 and repeat the process: 9 / 79

Let's proceed to step 5:
The number 79 fits into 9 0 times, leaving a remainder of 9.
Write down 0 as next digit of the result. 
Result so far: 580.0
Subtracting 0 from 9 leaves us with 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 6:
When dividing 90 by 79, we get 1 with a remainder of 11.
The next digit of our result is 1. 
Result so far: 580.1
The remainder is 11 after subtracting 79 from 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Let's proceed to step 7:
If we divide 110 by 79, we get 1 and a remainder of 31.
Put 1 as the next digit of the answer. 
Result so far: 580.11
Deduct 79 from 110 and we're left with 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 outcome is 580.11, with a leftover of 0.031.