512470 ÷ 78 
We want to figure out the number of times 512470 can be divided by 78.

On to step 1:
5 divided by 78 is 0 with a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Include the next digit (1) from the dividend after 5, then repeat: 51 / 78

Advancing to step 2:
78 can be fit into 51 0 times, resulting in a remainder of 51.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 51 leaves us with 51.
Grab the next digit (2) from the dividend, add it to 51, then carry on: 512 / 78

Moving on to step 3:
When dividing 512 by 78, we get 6 with a remainder of 44.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
Subtract 468 from 512 to get 44.
Grab the next digit (4) from the dividend, add it to 44, then carry on: 444 / 78

Step 4:
If we divide 444 by 78, we get 5 and a remainder of 54.
The next digit of our result is 5. 
Result so far: 65.0
Subtract 390 from 444 to get 54.
Append the next digit (7) from the dividend to 54 and continue with: 547 / 78

Let's proceed to step 5:
78 goes into 547 7 times with a remainder of 1.
The number 7 becomes the next digit in our result. 
Result so far: 657.0
Deduct 546 from 547 and we're left with 1.
Grab the next digit (0) from the dividend, add it to 1, then carry on: 10 / 78

Let's proceed to step 6:
10 divided by 78 is 0 with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 6570.0
If we subtract 0 from 10, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 7:
When dividing 100 by 78, we get 1 with a remainder of 22.
The next digit of our result is 1. 
Result so far: 6570.1
If we take 78 away from 100, we end up with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Moving on to step 8:
The number 78 fits into 220 2 times, leaving a remainder of 64.
Use 2 as the next digit of our solution. 
Result so far: 6570.12
Subtracting 156 from 220 leaves us with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Step 9:
640 divided by 78 is 8 with a remainder of 16.
Record the quotient 8 as the next digit in the result. 
Result so far: 6570.128
If we take 624 away from 640, we end up with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

On to step 10:
160 divided by 78 is 2 with a remainder of 4.
Use 2 as the next digit of our solution. 
Result so far: 6570.1282
The remainder is 4 after subtracting 156 from 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 11:
The number 78 fits into 40 0 times, leaving a remainder of 40.
Record the quotient 0 as the next digit in the result. 
Result so far: 6570.1282
Subtract 0 from 40 to get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Advancing to step 12:
400 divided by 78 is 5 with a remainder of 10.
Write down 5 as next digit of the result. 
Result so far: 6570.128205
The remainder is 10 after subtracting 390 from 400.
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:
78 goes into 100 1 times with a remainder of 22.
Put 1 as the next digit of the answer. 
Result so far: 6570.1282051
If we take 78 away from 100, we end up with 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 14:
220 divided by 78 is 2 with a remainder of 64.
Write down 2 as next digit of the result. 
Result so far: 6570.12820512
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.

The quotient of the division is 6570.12820512, and the remainder is 6.4e-08.