We look at the division of 553965 by 16 
We're looking to find how many times 16 goes into 553965.

Going ahead to step 1:
5 divided by 16 is 0 with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Take the next digit (5) from the dividend and append it to 5, then repeat: 55 / 16

Step 2:
55 divided by 16 is 3 with a remainder of 7.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
If we take 48 away from 55, we end up with 7.
Grab the next digit (3) from the dividend, add it to 7, then carry on: 73 / 16

Going ahead to step 3:
16 goes into 73 4 times with a remainder of 9.
Put 4 as the next digit of the answer. 
Result so far: 34.0
If we subtract 64 from 73, we get 9.
Grab the next digit (9) from the dividend, add it to 9, then carry on: 99 / 16

Let's proceed to step 4:
The number 16 fits into 99 6 times, leaving a remainder of 3.
Write down 6 as next digit of the result. 
Result so far: 346.0
Deduct 96 from 99 and we're left with 3.
Take the next digit (6) from the dividend and append it to 3, then repeat: 36 / 16

Step 5:
The number 16 fits into 36 2 times, leaving a remainder of 4.
Put 2 as the next digit of the answer. 
Result so far: 3462.0
If we take 32 away from 36, we end up with 4.
Take the next digit (5) from the dividend and append it to 4, then repeat: 45 / 16

Let's proceed to step 6:
16 can be fit into 45 2 times, resulting in a remainder of 13.
Write down 2 as next digit of the result. 
Result so far: 34622.0
Subtract 32 from 45 to get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Advancing to step 7:
16 can be fit into 130 8 times, resulting in a remainder of 2.
The next digit of our result is 8. 
Result so far: 34622.8
Deduct 128 from 130 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.

Let's proceed to step 8:
20 divided by 16 is 1 with a remainder of 4.
Record the quotient 1 as the next digit in the result. 
Result so far: 34622.81
Deduct 16 from 20 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 9:
When dividing 40 by 16, we get 2 with a remainder of 8.
The next digit of our result is 2. 
Result so far: 34622.812
If we take 32 away from 40, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Going ahead to step 10:
16 goes into 80 5 times with a remainder of 0.
Record the quotient 5 as the next digit in the result. 
Result so far: 34622.8125
Deduct 80 from 80 and we're left 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 11:
16 goes into 0 0 times with a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 34622.8125
If we take 0 away from 0, we end up 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:
0 divided by 16 is 0 with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 34622.8125
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 34622.8125 with a balance of 0.0.