We're dividing 435876 by 79 
We're looking to find how many times 79 goes into 435876.

Step 1:
When dividing 4 by 79, we get 0 with a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Take the next digit (3) from the dividend and append it to 4, then repeat: 43 / 79

Going ahead to step 2:
If we divide 43 by 79, we get 0 and a remainder of 43.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 43 after subtracting 0 from 43.
Fetch the next digit (5) from the dividend, attach it to 43 and continue: 435 / 79

Let's proceed to step 3:
79 goes into 435 5 times with a remainder of 40.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
The remainder is 40 after subtracting 395 from 435.
Bring next digit (8) of the dividend behind the 40 and repeat the process: 408 / 79

Step 4:
79 can be fit into 408 5 times, resulting in a remainder of 13.
Write down 5 as next digit of the result. 
Result so far: 55.0
Subtracting 395 from 408 leaves us with 13.
Bring next digit (7) of the dividend behind the 13 and repeat the process: 137 / 79

Let's proceed to step 5:
The number 79 fits into 137 1 times, leaving a remainder of 58.
The next digit of our result is 1. 
Result so far: 551.0
If we take 79 away from 137, we end up with 58.
Fetch the next digit (6) from the dividend, attach it to 58 and continue: 586 / 79

Advancing to step 6:
If we divide 586 by 79, we get 7 and a remainder of 33.
The number 7 becomes the next digit in our result. 
Result so far: 5517.0
The remainder is 33 after subtracting 553 from 586.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Let's proceed to step 7:
79 can be fit into 330 4 times, resulting in a remainder of 14.
Put 4 as the next digit of the answer. 
Result so far: 5517.4
Subtracting 316 from 330 leaves us with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Moving on to step 8:
79 goes into 140 1 times with a remainder of 61.
The next digit of our result is 1. 
Result so far: 5517.41
Subtract 79 from 140 to get 61.
Since there are no more digits in the dividend, we add a zero to the remainder making it 610, and continue the process.

On to step 9:
If we divide 610 by 79, we get 7 and a remainder of 57.
The next digit of our result is 7. 
Result so far: 5517.417
If we subtract 553 from 610, we get 57.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

Moving on to step 10:
79 can be fit into 570 7 times, resulting in a remainder of 17.
The next digit of our result is 7. 
Result so far: 5517.4177
If we subtract 553 from 570, we get 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

In conclusion, the division gives 5517.4177 with a balance of 0.00017.