We're dividing 507419 by 78 
We're looking to find how many times 78 goes into 507419.

Going ahead to step 1:
78 goes into 5 0 times with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Append the next digit (0) from the dividend to 5 and continue with: 50 / 78

On to step 2:
The number 78 fits into 50 0 times, leaving a remainder of 50.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 50 to get 50.
Fetch the next digit (7) from the dividend, attach it to 50 and continue: 507 / 78

Step 3:
78 goes into 507 6 times with a remainder of 39.
The next digit of our result is 6. 
Result so far: 6.0
Deduct 468 from 507 and we're left with 39.
Append the next digit (4) from the dividend to 39 and continue with: 394 / 78

On to step 4:
When dividing 394 by 78, we get 5 with a remainder of 4.
The number 5 becomes the next digit in our result. 
Result so far: 65.0
Deduct 390 from 394 and we're left with 4.
Fetch the next digit (1) from the dividend, attach it to 4 and continue: 41 / 78

Going ahead to step 5:
78 goes into 41 0 times with a remainder of 41.
Put 0 as the next digit of the answer. 
Result so far: 650.0
If we take 0 away from 41, we end up with 41.
Fetch the next digit (9) from the dividend, attach it to 41 and continue: 419 / 78

Step 6:
419 divided by 78 is 5 with a remainder of 29.
Put 5 as the next digit of the answer. 
Result so far: 6505.0
Subtracting 390 from 419 leaves us with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

On to step 7:
78 can be fit into 290 3 times, resulting in a remainder of 56.
Use 3 as the next digit of our solution. 
Result so far: 6505.3
The remainder is 56 after subtracting 234 from 290.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Advancing to step 8:
When dividing 560 by 78, we get 7 with a remainder of 14.
The number 7 becomes the next digit in our result. 
Result so far: 6505.37
The remainder is 14 after subtracting 546 from 560.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Advancing to step 9:
If we divide 140 by 78, we get 1 and a remainder of 62.
The number 1 becomes the next digit in our result. 
Result so far: 6505.371
Deduct 78 from 140 and we're left with 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Step 10:
The number 78 fits into 620 7 times, leaving a remainder of 74.
The number 7 becomes the next digit in our result. 
Result so far: 6505.3717
Subtract 546 from 620 to get 74.
Since there are no more digits in the dividend, we add a zero to the remainder making it 740, and continue the process.

Going ahead to step 11:
78 can be fit into 740 9 times, resulting in a remainder of 38.
The next digit of our result is 9. 
Result so far: 6505.37179
Subtracting 702 from 740 leaves us with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Moving on to step 12:
78 goes into 380 4 times with a remainder of 68.
The number 4 becomes the next digit in our result. 
Result so far: 6505.371794
Subtract 312 from 380 to get 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Going ahead to step 13:
680 divided by 78 is 8 with a remainder of 56.
Write down 8 as next digit of the result. 
Result so far: 6505.3717948
Deduct 624 from 680 and we're left with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

On to step 14:
78 goes into 560 7 times with a remainder of 14.
Write down 7 as next digit of the result. 
Result so far: 6505.37179487
Deduct 546 from 560 and we're left with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

The final outcome is 6505.37179487, with a leftover of 1.4e-08.