We look at the division of 512854 by 79 
We're looking to find how many times 79 goes into 512854.

Let's proceed to step 1:
The number 79 fits into 5 0 times, leaving a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Append the next digit (1) from the dividend to 5 and continue with: 51 / 79

Going ahead to step 2:
79 goes into 51 0 times with a remainder of 51.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 51, we end up with 51.
Append the next digit (2) from the dividend to 51 and continue with: 512 / 79

Let's proceed to step 3:
When dividing 512 by 79, we get 6 with a remainder of 38.
The next digit of our result is 6. 
Result so far: 6.0
If we take 474 away from 512, we end up with 38.
Take the next digit (8) from the dividend and append it to 38, then repeat: 388 / 79

Moving on to step 4:
If we divide 388 by 79, we get 4 and a remainder of 72.
Use 4 as the next digit of our solution. 
Result so far: 64.0
Subtracting 316 from 388 leaves us with 72.
Fetch the next digit (5) from the dividend, attach it to 72 and continue: 725 / 79

Advancing to step 5:
If we divide 725 by 79, we get 9 and a remainder of 14.
The next digit of our result is 9. 
Result so far: 649.0
If we take 711 away from 725, we end up with 14.
Append the next digit (4) from the dividend to 14 and continue with: 144 / 79

On to step 6:
79 can be fit into 144 1 times, resulting in a remainder of 65.
Record the quotient 1 as the next digit in the result. 
Result so far: 6491.0
If we take 79 away from 144, we end up with 65.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

On to step 7:
79 can be fit into 650 8 times, resulting in a remainder of 18.
Put 8 as the next digit of the answer. 
Result so far: 6491.8
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:
If we divide 180 by 79, we get 2 and a remainder of 22.
Write down 2 as next digit of the result. 
Result so far: 6491.82
If we subtract 158 from 180, we get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Step 9:
The number 79 fits into 220 2 times, leaving a remainder of 62.
The next digit of our result is 2. 
Result so far: 6491.822
Subtract 158 from 220 to 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.

After the division, we end up with 6491.822 and a remainder of 0.0062.