511375 ÷ 78 
We're looking to find how many times 78 goes into 511375.

Moving on to step 1:
78 can be fit into 5 0 times, resulting in a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Fetch the next digit (1) from the dividend, attach it to 5 and continue: 51 / 78

Advancing to step 2:
If we divide 51 by 78, we get 0 and a remainder of 51.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 51, we end up with 51.
Append the next digit (1) from the dividend to 51 and continue with: 511 / 78

On to step 3:
78 goes into 511 6 times with a remainder of 43.
Write down 6 as next digit of the result. 
Result so far: 6.0
If we subtract 468 from 511, we get 43.
Append the next digit (3) from the dividend to 43 and continue with: 433 / 78

On to step 4:
When dividing 433 by 78, we get 5 with a remainder of 43.
Record the quotient 5 as the next digit in the result. 
Result so far: 65.0
Deduct 390 from 433 and we're left with 43.
Append the next digit (7) from the dividend to 43 and continue with: 437 / 78

Advancing to step 5:
When dividing 437 by 78, we get 5 with a remainder of 47.
The number 5 becomes the next digit in our result. 
Result so far: 655.0
If we subtract 390 from 437, we get 47.
Include the next digit (5) from the dividend after 47, then repeat: 475 / 78

On to step 6:
The number 78 fits into 475 6 times, leaving a remainder of 7.
Use 6 as the next digit of our solution. 
Result so far: 6556.0
If we take 468 away from 475, we end up with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Let's proceed to step 7:
70 divided by 78 is 0 with a remainder of 70.
The next digit of our result is 0. 
Result so far: 6556.0
Deduct 0 from 70 and we're left with 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Let's proceed to step 8:
When dividing 700 by 78, we get 8 with a remainder of 76.
The next digit of our result is 8. 
Result so far: 6556.08
Subtracting 624 from 700 leaves us with 76.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

Advancing to step 9:
78 can be fit into 760 9 times, resulting in a remainder of 58.
Write down 9 as next digit of the result. 
Result so far: 6556.089
Subtract 702 from 760 to get 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

On to step 10:
If we divide 580 by 78, we get 7 and a remainder of 34.
Record the quotient 7 as the next digit in the result. 
Result so far: 6556.0897
The remainder is 34 after subtracting 546 from 580.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Advancing to step 11:
If we divide 340 by 78, we get 4 and a remainder of 28.
The next digit of our result is 4. 
Result so far: 6556.08974
The remainder is 28 after subtracting 312 from 340.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Advancing to step 12:
280 divided by 78 is 3 with a remainder of 46.
Put 3 as the next digit of the answer. 
Result so far: 6556.089743
If we subtract 234 from 280, we get 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Moving on to step 13:
460 divided by 78 is 5 with a remainder of 70.
Write down 5 as next digit of the result. 
Result so far: 6556.0897435
Subtracting 390 from 460 leaves us with 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Step 14:
700 divided by 78 is 8 with a remainder of 76.
Record the quotient 8 as the next digit in the result. 
Result so far: 6556.08974358
Subtracting 624 from 700 leaves us with 76.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

The final outcome is 6556.08974358, with a leftover of 7.6e-08.