Let's divide 542102 by 19
We're looking to find how many times 19 goes into 542102.

On to step 1:
5 divided by 19 is 0 with a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Include the next digit (4) from the dividend after 5, then repeat: 54 / 19

Advancing to step 2:
When dividing 54 by 19, we get 2 with a remainder of 16.
Use 2 as the next digit of our solution. 
Result so far: 2.0
Deduct 38 from 54 and we're left with 16.
Fetch the next digit (2) from the dividend, attach it to 16 and continue: 162 / 19

Step 3:
The number 19 fits into 162 8 times, leaving a remainder of 10.
Put 8 as the next digit of the answer. 
Result so far: 28.0
The remainder is 10 after subtracting 152 from 162.
Fetch the next digit (1) from the dividend, attach it to 10 and continue: 101 / 19

On to step 4:
19 goes into 101 5 times with a remainder of 6.
Write down 5 as next digit of the result. 
Result so far: 285.0
If we subtract 95 from 101, we get 6.
Take the next digit (0) from the dividend and append it to 6, then repeat: 60 / 19

Moving on to step 5:
The number 19 fits into 60 3 times, leaving a remainder of 3.
The next digit of our result is 3. 
Result so far: 2853.0
If we subtract 57 from 60, we get 3.
Grab the next digit (2) from the dividend, add it to 3, then carry on: 32 / 19

Moving on to step 6:
32 divided by 19 is 1 with a remainder of 13.
The next digit of our result is 1. 
Result so far: 28531.0
If we take 19 away from 32, we end up 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.

Step 7:
The number 19 fits into 130 6 times, leaving a remainder of 16.
Put 6 as the next digit of the answer. 
Result so far: 28531.6
Subtract 114 from 130 to get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Advancing to step 8:
If we divide 160 by 19, we get 8 and a remainder of 8.
Put 8 as the next digit of the answer. 
Result so far: 28531.68
Deduct 152 from 160 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.

Moving on to step 9:
19 can be fit into 80 4 times, resulting in a remainder of 4.
The number 4 becomes the next digit in our result. 
Result so far: 28531.684
The remainder is 4 after subtracting 76 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 10:
The number 19 fits into 40 2 times, leaving a remainder of 2.
Record the quotient 2 as the next digit in the result. 
Result so far: 28531.6842
Subtract 38 from 40 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 11:
When dividing 20 by 19, we get 1 with a remainder of 1.
The number 1 becomes the next digit in our result. 
Result so far: 28531.68421
Subtracting 19 from 20 leaves us with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 12:
When dividing 10 by 19, we get 0 with a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 28531.68421
Subtracting 0 from 10 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 13:
19 can be fit into 100 5 times, resulting in a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 28531.6842105
If we subtract 95 from 100, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 14:
19 can be fit into 50 2 times, resulting in a remainder of 12.
The number 2 becomes the next digit in our result. 
Result so far: 28531.68421052
If we take 38 away from 50, 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.

After the division, we end up with 28531.68421052 and a remainder of 1.2e-08.