We're dividing 650003 by 78 
We want to figure out the number of times 650003 can be divided by 78.

On to step 1:
The number 78 fits into 6 0 times, leaving a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Include the next digit (5) from the dividend after 6, then repeat: 65 / 78

On to step 2:
When dividing 65 by 78, we get 0 with a remainder of 65.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 65, we get 65.
Take the next digit (0) from the dividend and append it to 65, then repeat: 650 / 78

Moving on to step 3:
When dividing 650 by 78, we get 8 with a remainder of 26.
The next digit of our result is 8. 
Result so far: 8.0
Subtracting 624 from 650 leaves us with 26.
Fetch the next digit (0) from the dividend, attach it to 26 and continue: 260 / 78

Advancing to step 4:
78 goes into 260 3 times with a remainder of 26.
The number 3 becomes the next digit in our result. 
Result so far: 83.0
The remainder is 26 after subtracting 234 from 260.
Append the next digit (0) from the dividend to 26 and continue with: 260 / 78

Advancing to step 5:
If we divide 260 by 78, we get 3 and a remainder of 26.
Write down 3 as next digit of the result. 
Result so far: 833.0
If we take 234 away from 260, we end up with 26.
Grab the next digit (3) from the dividend, add it to 26, then carry on: 263 / 78

Step 6:
When dividing 263 by 78, we get 3 with a remainder of 29.
The number 3 becomes the next digit in our result. 
Result so far: 8333.0
If we subtract 234 from 263, we get 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Step 7:
When dividing 290 by 78, we get 3 with a remainder of 56.
The next digit of our result is 3. 
Result so far: 8333.3
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:
78 can be fit into 560 7 times, resulting in a remainder of 14.
Put 7 as the next digit of the answer. 
Result so far: 8333.37
If we take 546 away from 560, we end up 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.

Step 9:
When dividing 140 by 78, we get 1 with a remainder of 62.
Put 1 as the next digit of the answer. 
Result so far: 8333.371
If we subtract 78 from 140, we get 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

On to step 10:
The number 78 fits into 620 7 times, leaving a remainder of 74.
Put 7 as the next digit of the answer. 
Result so far: 8333.3717
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:
When dividing 740 by 78, we get 9 with a remainder of 38.
The number 9 becomes the next digit in our result. 
Result so far: 8333.37179
If we subtract 702 from 740, we get 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

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: 8333.371794
Subtracting 312 from 380 leaves us with 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

On to step 13:
If we divide 680 by 78, we get 8 and a remainder of 56.
The next digit of our result is 8. 
Result so far: 8333.3717948
The remainder is 56 after subtracting 624 from 680.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Going ahead to step 14:
560 divided by 78 is 7 with a remainder of 14.
Record the quotient 7 as the next digit in the result. 
Result so far: 8333.37179487
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 8333.37179487, with a leftover of 1.4e-08.