We look at the division of 53903 by 78 
We want to divide 53903 by 78.

Advancing to step 1:
If we divide 5 by 78, we get 0 and a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Bring next digit (3) of the dividend behind the 5 and repeat the process: 53 / 78

On to step 2:
When dividing 53 by 78, we get 0 with a remainder of 53.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 53 and we're left with 53.
Fetch the next digit (9) from the dividend, attach it to 53 and continue: 539 / 78

Advancing to step 3:
The number 78 fits into 539 6 times, leaving a remainder of 71.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
If we subtract 468 from 539, we get 71.
Grab the next digit (0) from the dividend, add it to 71, then carry on: 710 / 78

Let's proceed to step 4:
78 goes into 710 9 times with a remainder of 8.
Use 9 as the next digit of our solution. 
Result so far: 69.0
The remainder is 8 after subtracting 702 from 710.
Bring next digit (3) of the dividend behind the 8 and repeat the process: 83 / 78

On to step 5:
78 can be fit into 83 1 times, resulting in a remainder of 5.
Use 1 as the next digit of our solution. 
Result so far: 691.0
Subtracting 78 from 83 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 6:
78 can be fit into 50 0 times, resulting in a remainder of 50.
Write down 0 as next digit of the result. 
Result so far: 691.0
Subtract 0 from 50 to get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Advancing to step 7:
78 can be fit into 500 6 times, resulting in a remainder of 32.
Use 6 as the next digit of our solution. 
Result so far: 691.06
Subtracting 468 from 500 leaves us with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Moving on to step 8:
78 goes into 320 4 times with a remainder of 8.
The number 4 becomes the next digit in our result. 
Result so far: 691.064
If we subtract 312 from 320, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Step 9:
The number 78 fits into 80 1 times, leaving a remainder of 2.
The number 1 becomes the next digit in our result. 
Result so far: 691.0641
Deduct 78 from 80 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 10:
20 divided by 78 is 0 with a remainder of 20.
Use 0 as the next digit of our solution. 
Result so far: 691.0641
The remainder is 20 after subtracting 0 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Advancing to step 11:
78 goes into 200 2 times with a remainder of 44.
Record the quotient 2 as the next digit in the result. 
Result so far: 691.064102
If we subtract 156 from 200, we get 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Let's proceed to step 12:
78 can be fit into 440 5 times, resulting in a remainder of 50.
The next digit of our result is 5. 
Result so far: 691.0641025
If we subtract 390 from 440, we get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

On to step 13:
78 goes into 500 6 times with a remainder of 32.
Use 6 as the next digit of our solution. 
Result so far: 691.06410256
If we take 468 away from 500, we end up with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

In conclusion, the division gives 691.06410256 with a balance of 3.2e-08.