Let's divide 125219 by 16
We want to divide 125219 by 16.

Advancing to step 1:
When dividing 1 by 16, we get 0 with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Bring next digit (2) of the dividend behind the 1 and repeat the process: 12 / 16

Moving on to step 2:
16 can be fit into 12 0 times, resulting in a remainder of 12.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 12 leaves us with 12.
Fetch the next digit (5) from the dividend, attach it to 12 and continue: 125 / 16

Going ahead to step 3:
16 can be fit into 125 7 times, resulting in a remainder of 13.
Write down 7 as next digit of the result. 
Result so far: 7.0
Deduct 112 from 125 and we're left with 13.
Grab the next digit (2) from the dividend, add it to 13, then carry on: 132 / 16

Step 4:
132 divided by 16 is 8 with a remainder of 4.
Record the quotient 8 as the next digit in the result. 
Result so far: 78.0
If we take 128 away from 132, we end up with 4.
Bring next digit (1) of the dividend behind the 4 and repeat the process: 41 / 16

Step 5:
41 divided by 16 is 2 with a remainder of 9.
Put 2 as the next digit of the answer. 
Result so far: 782.0
Subtract 32 from 41 to get 9.
Include the next digit (9) from the dividend after 9, then repeat: 99 / 16

On to step 6:
If we divide 99 by 16, we get 6 and a remainder of 3.
The number 6 becomes the next digit in our result. 
Result so far: 7826.0
Subtract 96 from 99 to 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.

Let's proceed to step 7:
The number 16 fits into 30 1 times, leaving a remainder of 14.
Put 1 as the next digit of the answer. 
Result so far: 7826.1
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.

Advancing to step 8:
16 goes into 140 8 times with a remainder of 12.
Write down 8 as next digit of the result. 
Result so far: 7826.18
Deduct 128 from 140 and we're left 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.

Moving on 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: 7826.187
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.

Advancing to step 10:
80 divided by 16 is 5 with a remainder of 0.
Record the quotient 5 as the next digit in the result. 
Result so far: 7826.1875
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.

Let's proceed to step 11:
The number 16 fits into 0 0 times, leaving a remainder of 0.
The next digit of our result is 0. 
Result so far: 7826.1875
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.

Going ahead to step 12:
0 divided by 16 is 0 with a remainder of 0.
The next digit of our result is 0. 
Result so far: 7826.1875
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 7826.1875 and a remainder of 0.0.