36219 divided by 16 
We want to divide 36219 by 16.

Going ahead to step 1:
If we divide 3 by 16, we get 0 and a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Bring next digit (6) of the dividend behind the 3 and repeat the process: 36 / 16

On to step 2:
16 can be fit into 36 2 times, resulting in a remainder of 4.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
If we subtract 32 from 36, we get 4.
Include the next digit (2) from the dividend after 4, then repeat: 42 / 16

Advancing to step 3:
If we divide 42 by 16, we get 2 and a remainder of 10.
Use 2 as the next digit of our solution. 
Result so far: 22.0
Subtracting 32 from 42 leaves us with 10.
Fetch the next digit (1) from the dividend, attach it to 10 and continue: 101 / 16

Advancing to step 4:
101 divided by 16 is 6 with a remainder of 5.
Put 6 as the next digit of the answer. 
Result so far: 226.0
Subtracting 96 from 101 leaves us with 5.
Take the next digit (9) from the dividend and append it to 5, then repeat: 59 / 16

Step 5:
When dividing 59 by 16, we get 3 with a remainder of 11.
Put 3 as the next digit of the answer. 
Result so far: 2263.0
If we subtract 48 from 59, we get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Step 6:
110 divided by 16 is 6 with a remainder of 14.
Write down 6 as next digit of the result. 
Result so far: 2263.6
The remainder is 14 after subtracting 96 from 110.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

On to step 7:
16 goes into 140 8 times with a remainder of 12.
Put 8 as the next digit of the answer. 
Result so far: 2263.68
If we take 128 away from 140, 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:
120 divided by 16 is 7 with a remainder of 8.
Record the quotient 7 as the next digit in the result. 
Result so far: 2263.687
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:
The number 16 fits into 80 5 times, leaving a remainder of 0.
The next digit of our result is 5. 
Result so far: 2263.6875
If we take 80 away from 80, 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.

Going ahead to step 10:
16 goes into 0 0 times with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 2263.6875
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.

Advancing to step 11:
16 can be fit into 0 0 times, resulting in a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 2263.6875
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.

The quotient of the division is 2263.6875, and the remainder is 0.0.