506718 ÷ 78 
Our goal is to divide 506718 by 78.

Advancing 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
If we take 0 away from 5, we end up with 5.
Append the next digit (0) from the dividend to 5 and continue with: 50 / 78

Going ahead to step 2:
When dividing 50 by 78, we get 0 with a remainder of 50.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 50, we get 50.
Grab the next digit (6) from the dividend, add it to 50, then carry on: 506 / 78

On to step 3:
The number 78 fits into 506 6 times, leaving a remainder of 38.
The next digit of our result is 6. 
Result so far: 6.0
The remainder is 38 after subtracting 468 from 506.
Append the next digit (7) from the dividend to 38 and continue with: 387 / 78

Advancing to step 4:
387 divided by 78 is 4 with a remainder of 75.
The number 4 becomes the next digit in our result. 
Result so far: 64.0
If we take 312 away from 387, we end up with 75.
Take the next digit (1) from the dividend and append it to 75, then repeat: 751 / 78

Advancing to step 5:
When dividing 751 by 78, we get 9 with a remainder of 49.
The number 9 becomes the next digit in our result. 
Result so far: 649.0
Deduct 702 from 751 and we're left with 49.
Bring next digit (8) of the dividend behind the 49 and repeat the process: 498 / 78

Going ahead to step 6:
78 can be fit into 498 6 times, resulting in a remainder of 30.
Write down 6 as next digit of the result. 
Result so far: 6496.0
Subtracting 468 from 498 leaves us with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Let's proceed to step 7:
78 can be fit into 300 3 times, resulting in a remainder of 66.
Put 3 as the next digit of the answer. 
Result so far: 6496.3
Deduct 234 from 300 and we're left with 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

Step 8:
660 divided by 78 is 8 with a remainder of 36.
Put 8 as the next digit of the answer. 
Result so far: 6496.38
Subtracting 624 from 660 leaves us with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Advancing to step 9:
When dividing 360 by 78, we get 4 with a remainder of 48.
Record the quotient 4 as the next digit in the result. 
Result so far: 6496.384
Deduct 312 from 360 and we're left with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Moving on to step 10:
78 can be fit into 480 6 times, resulting in a remainder of 12.
Use 6 as the next digit of our solution. 
Result so far: 6496.3846
If we take 468 away from 480, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Going ahead to step 11:
The number 78 fits into 120 1 times, leaving a remainder of 42.
Write down 1 as next digit of the result. 
Result so far: 6496.38461
Subtracting 78 from 120 leaves us with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

On to step 12:
When dividing 420 by 78, we get 5 with a remainder of 30.
Put 5 as the next digit of the answer. 
Result so far: 6496.384615
Deduct 390 from 420 and we're left with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Step 13:
When dividing 300 by 78, we get 3 with a remainder of 66.
Put 3 as the next digit of the answer. 
Result so far: 6496.3846153
Deduct 234 from 300 and we're left with 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

On to step 14:
78 goes into 660 8 times with a remainder of 36.
The next digit of our result is 8. 
Result so far: 6496.38461538
Subtract 624 from 660 to get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Our division results in 6496.38461538 with a remaining 3.6e-08.