513140 divided by 79 
Our goal is to divide 513140 by 79.

Going ahead to step 1:
When dividing 5 by 79, we get 0 with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Include the next digit (1) from the dividend after 5, then repeat: 51 / 79

Step 2:
79 can be fit into 51 0 times, resulting in a remainder of 51.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 51 leaves us with 51.
Append the next digit (3) from the dividend to 51 and continue with: 513 / 79

On to step 3:
79 goes into 513 6 times with a remainder of 39.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
Subtract 474 from 513 to get 39.
Append the next digit (1) from the dividend to 39 and continue with: 391 / 79

Let's proceed to step 4:
391 divided by 79 is 4 with a remainder of 75.
Record the quotient 4 as the next digit in the result. 
Result so far: 64.0
If we take 316 away from 391, we end up with 75.
Append the next digit (4) from the dividend to 75 and continue with: 754 / 79

Going ahead to step 5:
When dividing 754 by 79, we get 9 with a remainder of 43.
Use 9 as the next digit of our solution. 
Result so far: 649.0
The remainder is 43 after subtracting 711 from 754.
Include the next digit (0) from the dividend after 43, then repeat: 430 / 79

Step 6:
The number 79 fits into 430 5 times, leaving a remainder of 35.
Write down 5 as next digit of the result. 
Result so far: 6495.0
Deduct 395 from 430 and we're left with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Moving on to step 7:
79 can be fit into 350 4 times, resulting in a remainder of 34.
The next digit of our result is 4. 
Result so far: 6495.4
Deduct 316 from 350 and we're left with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Going ahead to step 8:
79 can be fit into 340 4 times, resulting in a remainder of 24.
Record the quotient 4 as the next digit in the result. 
Result so far: 6495.44
Subtract 316 from 340 to get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

The final outcome is 6495.44, with a leftover of 0.024.