We're dividing 633903 by 78 
We're looking to find how many times 78 goes into 633903.

Advancing to step 1:
6 divided by 78 is 0 with a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Include the next digit (3) from the dividend after 6, then repeat: 63 / 78

Moving on to step 2:
63 divided by 78 is 0 with a remainder of 63.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 63 to get 63.
Append the next digit (3) from the dividend to 63 and continue with: 633 / 78

Going ahead to step 3:
78 can be fit into 633 8 times, resulting in a remainder of 9.
Put 8 as the next digit of the answer. 
Result so far: 8.0
Deduct 624 from 633 and we're left with 9.
Bring next digit (9) of the dividend behind the 9 and repeat the process: 99 / 78

On to step 4:
78 goes into 99 1 times with a remainder of 21.
Record the quotient 1 as the next digit in the result. 
Result so far: 81.0
If we take 78 away from 99, we end up with 21.
Fetch the next digit (0) from the dividend, attach it to 21 and continue: 210 / 78

Advancing to step 5:
78 goes into 210 2 times with a remainder of 54.
Use 2 as the next digit of our solution. 
Result so far: 812.0
Deduct 156 from 210 and we're left with 54.
Include the next digit (3) from the dividend after 54, then repeat: 543 / 78

Step 6:
543 divided by 78 is 6 with a remainder of 75.
Record the quotient 6 as the next digit in the result. 
Result so far: 8126.0
Subtract 468 from 543 to get 75.
Since there are no more digits in the dividend, we add a zero to the remainder making it 750, and continue the process.

Advancing to step 7:
When dividing 750 by 78, we get 9 with a remainder of 48.
The next digit of our result is 9. 
Result so far: 8126.9
If we take 702 away from 750, we end up 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.

Step 8:
If we divide 480 by 78, we get 6 and a remainder of 12.
The next digit of our result is 6. 
Result so far: 8126.96
If we subtract 468 from 480, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Let's proceed to step 9:
120 divided by 78 is 1 with a remainder of 42.
Use 1 as the next digit of our solution. 
Result so far: 8126.961
If we subtract 78 from 120, we get 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 10:
420 divided by 78 is 5 with a remainder of 30.
The next digit of our result is 5. 
Result so far: 8126.9615
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.

Moving on to step 11:
When dividing 300 by 78, we get 3 with a remainder of 66.
The number 3 becomes the next digit in our result. 
Result so far: 8126.96153
If we take 234 away from 300, we end up 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.

Going ahead to step 12:
78 goes into 660 8 times with a remainder of 36.
The number 8 becomes the next digit in our result. 
Result so far: 8126.961538
If we subtract 624 from 660, we 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.

Going ahead to step 13:
78 can be fit into 360 4 times, resulting in a remainder of 48.
Write down 4 as next digit of the result. 
Result so far: 8126.9615384
If we take 312 away from 360, we end up 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.

Let's proceed to step 14:
When dividing 480 by 78, we get 6 with a remainder of 12.
Use 6 as the next digit of our solution. 
Result so far: 8126.96153846
Subtracting 468 from 480 leaves us 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.

In conclusion, the division gives 8126.96153846 with a balance of 1.2e-08.