We divide 655641 by 16
Our goal is to divide 655641 by 16.

On to step 1:
16 can be fit into 6 0 times, resulting in a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Fetch the next digit (5) from the dividend, attach it to 6 and continue: 65 / 16

On to step 2:
16 can be fit into 65 4 times, resulting in a remainder of 1.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
If we subtract 64 from 65, we get 1.
Include the next digit (5) from the dividend after 1, then repeat: 15 / 16

Advancing to step 3:
If we divide 15 by 16, we get 0 and a remainder of 15.
The number 0 becomes the next digit in our result. 
Result so far: 40.0
The remainder is 15 after subtracting 0 from 15.
Grab the next digit (6) from the dividend, add it to 15, then carry on: 156 / 16

Going ahead to step 4:
If we divide 156 by 16, we get 9 and a remainder of 12.
Put 9 as the next digit of the answer. 
Result so far: 409.0
Deduct 144 from 156 and we're left with 12.
Bring next digit (4) of the dividend behind the 12 and repeat the process: 124 / 16

Let's proceed to step 5:
The number 16 fits into 124 7 times, leaving a remainder of 12.
Write down 7 as next digit of the result. 
Result so far: 4097.0
Deduct 112 from 124 and we're left with 12.
Grab the next digit (1) from the dividend, add it to 12, then carry on: 121 / 16

Step 6:
16 can be fit into 121 7 times, resulting in a remainder of 9.
The number 7 becomes the next digit in our result. 
Result so far: 40977.0
If we take 112 away from 121, we end up with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Moving on to step 7:
If we divide 90 by 16, we get 5 and a remainder of 10.
Record the quotient 5 as the next digit in the result. 
Result so far: 40977.5
The remainder is 10 after subtracting 80 from 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 8:
When dividing 100 by 16, we get 6 with a remainder of 4.
The next digit of our result is 6. 
Result so far: 40977.56
The remainder is 4 after subtracting 96 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 9:
The number 16 fits into 40 2 times, leaving a remainder of 8.
Write down 2 as next digit of the result. 
Result so far: 40977.562
The remainder is 8 after subtracting 32 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 10:
If we divide 80 by 16, we get 5 and a remainder of 0.
The next digit of our result is 5. 
Result so far: 40977.5625
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.

Let's proceed to step 11:
16 goes into 0 0 times with a remainder of 0.
The next digit of our result is 0. 
Result so far: 40977.5625
Subtracting 0 from 0 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

On to step 12:
The number 16 fits into 0 0 times, leaving a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 40977.5625
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 40977.5625 with a balance of 0.0.