We look at the division of 6903 by 64 
We want to figure out the number of times 6903 can be divided by 64.

Advancing to step 1:
If we divide 6 by 64, we get 0 and a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Append the next digit (9) from the dividend to 6 and continue with: 69 / 64

Advancing to step 2:
If we divide 69 by 64, we get 1 and a remainder of 5.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we take 64 away from 69, we end up with 5.
Append the next digit (0) from the dividend to 5 and continue with: 50 / 64

Let's proceed to step 3:
50 divided by 64 is 0 with a remainder of 50.
Put 0 as the next digit of the answer. 
Result so far: 10.0
Subtract 0 from 50 to get 50.
Take the next digit (3) from the dividend and append it to 50, then repeat: 503 / 64

Moving on to step 4:
When dividing 503 by 64, we get 7 with a remainder of 55.
Use 7 as the next digit of our solution. 
Result so far: 107.0
Subtracting 448 from 503 leaves us with 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Advancing to step 5:
64 can be fit into 550 8 times, resulting in a remainder of 38.
Write down 8 as next digit of the result. 
Result so far: 107.8
If we take 512 away from 550, we end up 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 6:
64 can be fit into 380 5 times, resulting in a remainder of 60.
The next digit of our result is 5. 
Result so far: 107.85
The remainder is 60 after subtracting 320 from 380.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Advancing to step 7:
When dividing 600 by 64, we get 9 with a remainder of 24.
Use 9 as the next digit of our solution. 
Result so far: 107.859
The remainder is 24 after subtracting 576 from 600.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

On to step 8:
240 divided by 64 is 3 with a remainder of 48.
The number 3 becomes the next digit in our result. 
Result so far: 107.8593
Subtract 192 from 240 to get 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 9:
If we divide 480 by 64, we get 7 and a remainder of 32.
Put 7 as the next digit of the answer. 
Result so far: 107.85937
Subtracting 448 from 480 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 10:
The number 64 fits into 320 5 times, leaving a remainder of 0.
Use 5 as the next digit of our solution. 
Result so far: 107.859375
Subtract 320 from 320 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Step 11:
When dividing 0 by 64, we get 0 with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 107.859375
If we subtract 0 from 0, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Going ahead to step 12:
64 goes into 0 0 times with a remainder of 0.
The next digit of our result is 0. 
Result so far: 107.859375
If we subtract 0 from 0, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

In conclusion, the division gives 107.859375 with a balance of 0.0.