643330 divided by 79 
Our goal is to divide 643330 by 79.

Let's proceed to step 1:
If we divide 6 by 79, we get 0 and a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Append the next digit (4) from the dividend to 6 and continue with: 64 / 79

Let's proceed to step 2:
79 can be fit into 64 0 times, resulting in a remainder of 64.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 64 and we're left with 64.
Fetch the next digit (3) from the dividend, attach it to 64 and continue: 643 / 79

Step 3:
The number 79 fits into 643 8 times, leaving a remainder of 11.
Put 8 as the next digit of the answer. 
Result so far: 8.0
The remainder is 11 after subtracting 632 from 643.
Bring next digit (3) of the dividend behind the 11 and repeat the process: 113 / 79

Let's proceed to step 4:
113 divided by 79 is 1 with a remainder of 34.
Record the quotient 1 as the next digit in the result. 
Result so far: 81.0
Subtracting 79 from 113 leaves us with 34.
Bring next digit (3) of the dividend behind the 34 and repeat the process: 343 / 79

Moving on to step 5:
If we divide 343 by 79, we get 4 and a remainder of 27.
Write down 4 as next digit of the result. 
Result so far: 814.0
If we take 316 away from 343, we end up with 27.
Include the next digit (0) from the dividend after 27, then repeat: 270 / 79

Step 6:
The number 79 fits into 270 3 times, leaving a remainder of 33.
Use 3 as the next digit of our solution. 
Result so far: 8143.0
Deduct 237 from 270 and we're left with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Moving on to step 7:
79 goes into 330 4 times with a remainder of 14.
Put 4 as the next digit of the answer. 
Result so far: 8143.4
Deduct 316 from 330 and we're left 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.

On to step 8:
The number 79 fits into 140 1 times, leaving a remainder of 61.
Put 1 as the next digit of the answer. 
Result so far: 8143.41
The remainder is 61 after subtracting 79 from 140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 610, and continue the process.

Going ahead to step 9:
79 can be fit into 610 7 times, resulting in a remainder of 57.
The next digit of our result is 7. 
Result so far: 8143.417
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.

Advancing to step 10:
If we divide 570 by 79, we get 7 and a remainder of 17.
Put 7 as the next digit of the answer. 
Result so far: 8143.4177
Subtracting 553 from 570 leaves us with 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 8143.4177 with a balance of 0.00017.