We divide 274219 by 16
We're looking to find how many times 16 goes into 274219.

Advancing to step 1:
When dividing 2 by 16, we get 0 with a remainder of 2.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 2, we get 2.
Include the next digit (7) from the dividend after 2, then repeat: 27 / 16

Let's proceed to step 2:
16 goes into 27 1 times with a remainder of 11.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we subtract 16 from 27, we get 11.
Append the next digit (4) from the dividend to 11 and continue with: 114 / 16

Step 3:
When dividing 114 by 16, we get 7 with a remainder of 2.
Record the quotient 7 as the next digit in the result. 
Result so far: 17.0
Subtracting 112 from 114 leaves us with 2.
Fetch the next digit (2) from the dividend, attach it to 2 and continue: 22 / 16

Step 4:
When dividing 22 by 16, we get 1 with a remainder of 6.
Write down 1 as next digit of the result. 
Result so far: 171.0
The remainder is 6 after subtracting 16 from 22.
Grab the next digit (1) from the dividend, add it to 6, then carry on: 61 / 16

Going ahead to step 5:
16 can be fit into 61 3 times, resulting in a remainder of 13.
Record the quotient 3 as the next digit in the result. 
Result so far: 1713.0
Deduct 48 from 61 and we're left with 13.
Include the next digit (9) from the dividend after 13, then repeat: 139 / 16

Going ahead to step 6:
The number 16 fits into 139 8 times, leaving a remainder of 11.
Record the quotient 8 as the next digit in the result. 
Result so far: 17138.0
Deduct 128 from 139 and we're left with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Advancing to step 7:
16 can be fit into 110 6 times, resulting in a remainder of 14.
Record the quotient 6 as the next digit in the result. 
Result so far: 17138.6
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.

Step 8:
If we divide 140 by 16, we get 8 and a remainder of 12.
Use 8 as the next digit of our solution. 
Result so far: 17138.68
Subtract 128 from 140 to get 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:
When dividing 120 by 16, we get 7 with a remainder of 8.
Record the quotient 7 as the next digit in the result. 
Result so far: 17138.687
Subtract 112 from 120 to 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 10:
If we divide 80 by 16, we get 5 and a remainder of 0.
Use 5 as the next digit of our solution. 
Result so far: 17138.6875
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.

Moving on to step 11:
16 can be fit into 0 0 times, resulting in a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 17138.6875
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.

Step 12:
The number 16 fits into 0 0 times, leaving a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 17138.6875
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.

The quotient of the division is 17138.6875, and the remainder is 0.0.