355123 ÷ 19 
Let's see how many times 19 fits into 355123.

Advancing to step 1:
19 can be fit into 3 0 times, resulting in a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Fetch the next digit (5) from the dividend, attach it to 3 and continue: 35 / 19

On to step 2:
When dividing 35 by 19, we get 1 with a remainder of 16.
The next digit of our result is 1. 
Result so far: 1.0
Deduct 19 from 35 and we're left with 16.
Grab the next digit (5) from the dividend, add it to 16, then carry on: 165 / 19

Going ahead to step 3:
19 can be fit into 165 8 times, resulting in a remainder of 13.
The next digit of our result is 8. 
Result so far: 18.0
If we subtract 152 from 165, we get 13.
Take the next digit (1) from the dividend and append it to 13, then repeat: 131 / 19

On to step 4:
131 divided by 19 is 6 with a remainder of 17.
Put 6 as the next digit of the answer. 
Result so far: 186.0
The remainder is 17 after subtracting 114 from 131.
Grab the next digit (2) from the dividend, add it to 17, then carry on: 172 / 19

Advancing to step 5:
If we divide 172 by 19, we get 9 and a remainder of 1.
Write down 9 as next digit of the result. 
Result so far: 1869.0
The remainder is 1 after subtracting 171 from 172.
Bring next digit (3) of the dividend behind the 1 and repeat the process: 13 / 19

Let's proceed to step 6:
19 can be fit into 13 0 times, resulting in a remainder of 13.
The number 0 becomes the next digit in our result. 
Result so far: 18690.0
If we subtract 0 from 13, we get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Going ahead to step 7:
130 divided by 19 is 6 with a remainder of 16.
Write down 6 as next digit of the result. 
Result so far: 18690.6
Subtracting 114 from 130 leaves us with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Let's proceed to step 8:
19 goes into 160 8 times with a remainder of 8.
Record the quotient 8 as the next digit in the result. 
Result so far: 18690.68
If we take 152 away from 160, 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 9:
19 goes into 80 4 times with a remainder of 4.
Record the quotient 4 as the next digit in the result. 
Result so far: 18690.684
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.

On to step 10:
If we divide 40 by 19, we get 2 and a remainder of 2.
Record the quotient 2 as the next digit in the result. 
Result so far: 18690.6842
If we take 38 away from 40, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 11:
19 goes into 20 1 times with a remainder of 1.
Use 1 as the next digit of our solution. 
Result so far: 18690.68421
The remainder is 1 after subtracting 19 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 12:
The number 19 fits into 10 0 times, leaving a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 18690.68421
If we subtract 0 from 10, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 13:
When dividing 100 by 19, we get 5 with a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 18690.6842105
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.

Advancing to step 14:
If we divide 50 by 19, we get 2 and a remainder of 12.
Write down 2 as next digit of the result. 
Result so far: 18690.68421052
If we subtract 38 from 50, we 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.

After the division, we end up with 18690.68421052 and a remainder of 1.2e-08.