We're dividing 645179 by 79 
We want to divide 645179 by 79.

Step 1:
If we divide 6 by 79, we get 0 and a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Include the next digit (4) from the dividend after 6, then repeat: 64 / 79

Let's proceed to step 2:
When dividing 64 by 79, we get 0 with a remainder of 64.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 64, we get 64.
Append the next digit (5) from the dividend to 64 and continue with: 645 / 79

Moving on to step 3:
If we divide 645 by 79, we get 8 and a remainder of 13.
Record the quotient 8 as the next digit in the result. 
Result so far: 8.0
Subtract 632 from 645 to get 13.
Append the next digit (1) from the dividend to 13 and continue with: 131 / 79

Moving on to step 4:
131 divided by 79 is 1 with a remainder of 52.
Use 1 as the next digit of our solution. 
Result so far: 81.0
Subtract 79 from 131 to get 52.
Append the next digit (7) from the dividend to 52 and continue with: 527 / 79

Step 5:
527 divided by 79 is 6 with a remainder of 53.
The next digit of our result is 6. 
Result so far: 816.0
Subtracting 474 from 527 leaves us with 53.
Append the next digit (9) from the dividend to 53 and continue with: 539 / 79

Step 6:
79 goes into 539 6 times with a remainder of 65.
Record the quotient 6 as the next digit in the result. 
Result so far: 8166.0
The remainder is 65 after subtracting 474 from 539.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

Advancing to step 7:
If we divide 650 by 79, we get 8 and a remainder of 18.
Use 8 as the next digit of our solution. 
Result so far: 8166.8
Subtract 632 from 650 to get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

On to step 8:
79 can be fit into 180 2 times, resulting in a remainder of 22.
Record the quotient 2 as the next digit in the result. 
Result so far: 8166.82
Subtracting 158 from 180 leaves us with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Advancing to step 9:
If we divide 220 by 79, we get 2 and a remainder of 62.
The number 2 becomes the next digit in our result. 
Result so far: 8166.822
If we subtract 158 from 220, we get 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

The final result is 8166.822 with a remainder of 0.0062.