10783 ÷ 16 
We want to figure out the number of times 10783 can be divided by 16.

Advancing to step 1:
The number 16 fits into 1 0 times, leaving a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Fetch the next digit (0) from the dividend, attach it to 1 and continue: 10 / 16

Let's proceed to step 2:
When dividing 10 by 16, we get 0 with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 10, we end up with 10.
Append the next digit (7) from the dividend to 10 and continue with: 107 / 16

Step 3:
107 divided by 16 is 6 with a remainder of 11.
The next digit of our result is 6. 
Result so far: 6.0
The remainder is 11 after subtracting 96 from 107.
Append the next digit (8) from the dividend to 11 and continue with: 118 / 16

Advancing to step 4:
16 can be fit into 118 7 times, resulting in a remainder of 6.
The number 7 becomes the next digit in our result. 
Result so far: 67.0
If we take 112 away from 118, we end up with 6.
Take the next digit (3) from the dividend and append it to 6, then repeat: 63 / 16

Advancing to step 5:
16 can be fit into 63 3 times, resulting in a remainder of 15.
The next digit of our result is 3. 
Result so far: 673.0
Subtracting 48 from 63 leaves us with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Going ahead to step 6:
16 can be fit into 150 9 times, resulting in a remainder of 6.
The next digit of our result is 9. 
Result so far: 673.9
If we subtract 144 from 150, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 7:
If we divide 60 by 16, we get 3 and a remainder of 12.
Use 3 as the next digit of our solution. 
Result so far: 673.93
If we take 48 away from 60, we end up 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.

Step 8:
The number 16 fits into 120 7 times, leaving a remainder of 8.
Use 7 as the next digit of our solution. 
Result so far: 673.937
If we subtract 112 from 120, 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:
If we divide 80 by 16, we get 5 and a remainder of 0.
Use 5 as the next digit of our solution. 
Result so far: 673.9375
The remainder is 0 after subtracting 80 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Moving on to step 10:
0 divided by 16 is 0 with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 673.9375
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.

Let's proceed to step 11:
16 goes into 0 0 times with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 673.9375
The remainder is 0 after subtracting 0 from 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 673.9375 with a balance of 0.0.