511300 ÷ 78 
We want to figure out the number of times 511300 can be divided by 78.

Let's proceed to step 1:
The number 78 fits into 5 0 times, leaving a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Fetch the next digit (1) from the dividend, attach it to 5 and continue: 51 / 78

Going ahead to step 2:
When dividing 51 by 78, we get 0 with a remainder of 51.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 51, we end up with 51.
Take the next digit (1) from the dividend and append it to 51, then repeat: 511 / 78

Advancing to step 3:
511 divided by 78 is 6 with a remainder of 43.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
Deduct 468 from 511 and we're left with 43.
Take the next digit (3) from the dividend and append it to 43, then repeat: 433 / 78

Advancing 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
The remainder is 43 after subtracting 390 from 433.
Fetch the next digit (0) from the dividend, attach it to 43 and continue: 430 / 78

Step 5:
If we divide 430 by 78, we get 5 and a remainder of 40.
The number 5 becomes the next digit in our result. 
Result so far: 655.0
The remainder is 40 after subtracting 390 from 430.
Grab the next digit (0) from the dividend, add it to 40, then carry on: 400 / 78

Step 6:
The number 78 fits into 400 5 times, leaving a remainder of 10.
The next digit of our result is 5. 
Result so far: 6555.0
Deduct 390 from 400 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 7:
100 divided by 78 is 1 with a remainder of 22.
Write down 1 as next digit of the result. 
Result so far: 6555.1
If we subtract 78 from 100, 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.

Going ahead to step 8:
When dividing 220 by 78, we get 2 with a remainder of 64.
Put 2 as the next digit of the answer. 
Result so far: 6555.12
The remainder is 64 after subtracting 156 from 220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Moving on to step 9:
If we divide 640 by 78, we get 8 and a remainder of 16.
Record the quotient 8 as the next digit in the result. 
Result so far: 6555.128
Subtract 624 from 640 to get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Let's proceed to step 10:
78 goes into 160 2 times with a remainder of 4.
Record the quotient 2 as the next digit in the result. 
Result so far: 6555.1282
If we subtract 156 from 160, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 11:
If we divide 40 by 78, we get 0 and a remainder of 40.
The number 0 becomes the next digit in our result. 
Result so far: 6555.1282
The remainder is 40 after subtracting 0 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Going ahead to step 12:
78 can be fit into 400 5 times, resulting in a remainder of 10.
The number 5 becomes the next digit in our result. 
Result so far: 6555.128205
Deduct 390 from 400 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 13:
100 divided by 78 is 1 with a remainder of 22.
Write down 1 as next digit of the result. 
Result so far: 6555.1282051
The remainder is 22 after subtracting 78 from 100.
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 14:
78 can be fit into 220 2 times, resulting in a remainder of 64.
Record the quotient 2 as the next digit in the result. 
Result so far: 6555.12820512
The remainder is 64 after subtracting 156 from 220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

In conclusion, the division gives 6555.12820512 with a balance of 6.4e-08.