We divide 403219 by 16
We're looking to find how many times 16 goes into 403219.

Let's proceed to step 1:
The number 16 fits into 4 0 times, leaving a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Take the next digit (0) from the dividend and append it to 4, then repeat: 40 / 16

Moving on to step 2:
16 can be fit into 40 2 times, resulting in a remainder of 8.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
If we subtract 32 from 40, we get 8.
Fetch the next digit (3) from the dividend, attach it to 8 and continue: 83 / 16

Going ahead to step 3:
When dividing 83 by 16, we get 5 with a remainder of 3.
The number 5 becomes the next digit in our result. 
Result so far: 25.0
Subtracting 80 from 83 leaves us with 3.
Grab the next digit (2) from the dividend, add it to 3, then carry on: 32 / 16

Let's proceed to step 4:
If we divide 32 by 16, we get 2 and a remainder of 0.
Use 2 as the next digit of our solution. 
Result so far: 252.0
Deduct 32 from 32 and we're left with 0.
Append the next digit (1) from the dividend to 0 and continue with: 1 / 16

Let's proceed to step 5:
The number 16 fits into 1 0 times, leaving a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 2520.0
Subtracting 0 from 1 leaves us with 1.
Grab the next digit (9) from the dividend, add it to 1, then carry on: 19 / 16

Moving on to step 6:
The number 16 fits into 19 1 times, leaving a remainder of 3.
Put 1 as the next digit of the answer. 
Result so far: 25201.0
If we subtract 16 from 19, we get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Going ahead to step 7:
30 divided by 16 is 1 with a remainder of 14.
Use 1 as the next digit of our solution. 
Result so far: 25201.1
Deduct 16 from 30 and we're left with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Step 8:
If we divide 140 by 16, we get 8 and a remainder of 12.
Put 8 as the next digit of the answer. 
Result so far: 25201.18
Subtracting 128 from 140 leaves us 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.

Let's proceed to step 9:
16 goes into 120 7 times with a remainder of 8.
Put 7 as the next digit of the answer. 
Result so far: 25201.187
If we take 112 away from 120, 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:
If we divide 80 by 16, we get 5 and a remainder of 0.
The number 5 becomes the next digit in our result. 
Result so far: 25201.1875
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.

Going ahead to step 11:
If we divide 0 by 16, we get 0 and a remainder of 0.
The next digit of our result is 0. 
Result so far: 25201.1875
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.

Advancing 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: 25201.1875
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.

After the division, we end up with 25201.1875 and a remainder of 0.0.