We're dividing 643491 by 79 
Let's see how many times 79 fits into 643491.

Step 1:
79 can be fit into 6 0 times, resulting in a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Append the next digit (4) from the dividend to 6 and continue with: 64 / 79

On to step 2:
The number 79 fits into 64 0 times, leaving a remainder of 64.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 64 and we're left with 64.
Include the next digit (3) from the dividend after 64, then repeat: 643 / 79

Let's proceed to step 3:
When dividing 643 by 79, we get 8 with a remainder of 11.
Use 8 as the next digit of our solution. 
Result so far: 8.0
If we subtract 632 from 643, we get 11.
Bring next digit (4) of the dividend behind the 11 and repeat the process: 114 / 79

On to step 4:
114 divided by 79 is 1 with a remainder of 35.
Put 1 as the next digit of the answer. 
Result so far: 81.0
If we subtract 79 from 114, we get 35.
Fetch the next digit (9) from the dividend, attach it to 35 and continue: 359 / 79

Let's proceed to step 5:
The number 79 fits into 359 4 times, leaving a remainder of 43.
Use 4 as the next digit of our solution. 
Result so far: 814.0
Subtract 316 from 359 to get 43.
Fetch the next digit (1) from the dividend, attach it to 43 and continue: 431 / 79

On to step 6:
79 goes into 431 5 times with a remainder of 36.
The next digit of our result is 5. 
Result so far: 8145.0
If we take 395 away from 431, we end up with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Advancing to step 7:
The number 79 fits into 360 4 times, leaving a remainder of 44.
Write down 4 as next digit of the result. 
Result so far: 8145.4
Subtracting 316 from 360 leaves us with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

On to step 8:
If we divide 440 by 79, we get 5 and a remainder of 45.
Use 5 as the next digit of our solution. 
Result so far: 8145.45
Subtracting 395 from 440 leaves us with 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Moving on to step 9:
450 divided by 79 is 5 with a remainder of 55.
Write down 5 as next digit of the result. 
Result so far: 8145.455
The remainder is 55 after subtracting 395 from 450.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

The quotient of the division is 8145.455, and the remainder is 0.0055.