Let's divide 1629 by 16
We're looking to find how many times 16 goes into 1629.

On to step 1:
If we divide 1 by 16, we get 0 and a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Bring next digit (6) of the dividend behind the 1 and repeat the process: 16 / 16

Going ahead to step 2:
When dividing 16 by 16, we get 1 with a remainder of 0.
Write down 1 as next digit of the result. 
Result so far: 1.0
The remainder is 0 after subtracting 16 from 16.
Include the next digit (2) from the dividend after 0, then repeat: 2 / 16

Moving on to step 3:
When dividing 2 by 16, we get 0 with a remainder of 2.
The number 0 becomes the next digit in our result. 
Result so far: 10.0
Subtract 0 from 2 to get 2.
Bring next digit (9) of the dividend behind the 2 and repeat the process: 29 / 16

Moving on to step 4:
29 divided by 16 is 1 with a remainder of 13.
Use 1 as the next digit of our solution. 
Result so far: 101.0
Deduct 16 from 29 and we're left with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Going ahead to step 5:
If we divide 130 by 16, we get 8 and a remainder of 2.
Put 8 as the next digit of the answer. 
Result so far: 101.8
Subtracting 128 from 130 leaves us 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.

Advancing to step 6:
When dividing 20 by 16, we get 1 with a remainder of 4.
Write down 1 as next digit of the result. 
Result so far: 101.81
If we take 16 away from 20, we end up 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.

Moving on to step 7:
16 can be fit into 40 2 times, resulting in a remainder of 8.
Write down 2 as next digit of the result. 
Result so far: 101.812
Deduct 32 from 40 and we're left 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.

Advancing to step 8:
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: 101.8125
If we subtract 80 from 80, 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 9:
If we divide 0 by 16, we get 0 and a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 101.8125
Deduct 0 from 0 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.

Step 10:
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: 101.8125
Subtract 0 from 0 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.

The final outcome is 101.8125, with a leftover of 0.0.