Let's divide 354872 by 19
We want to divide 354872 by 19.

On to step 1:
The number 19 fits into 3 0 times, leaving a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Bring next digit (5) of the dividend behind the 3 and repeat the process: 35 / 19

Moving on to step 2:
If we divide 35 by 19, we get 1 and a remainder of 16.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Deduct 19 from 35 and we're left with 16.
Append the next digit (4) from the dividend to 16 and continue with: 164 / 19

Advancing to step 3:
19 goes into 164 8 times with a remainder of 12.
Use 8 as the next digit of our solution. 
Result so far: 18.0
If we subtract 152 from 164, we get 12.
Include the next digit (8) from the dividend after 12, then repeat: 128 / 19

Moving on to step 4:
128 divided by 19 is 6 with a remainder of 14.
Write down 6 as next digit of the result. 
Result so far: 186.0
If we take 114 away from 128, we end up with 14.
Bring next digit (7) of the dividend behind the 14 and repeat the process: 147 / 19

Moving on to step 5:
When dividing 147 by 19, we get 7 with a remainder of 14.
Record the quotient 7 as the next digit in the result. 
Result so far: 1867.0
The remainder is 14 after subtracting 133 from 147.
Take the next digit (2) from the dividend and append it to 14, then repeat: 142 / 19

Going ahead to step 6:
19 can be fit into 142 7 times, resulting in a remainder of 9.
Use 7 as the next digit of our solution. 
Result so far: 18677.0
If we subtract 133 from 142, we get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

On to step 7:
90 divided by 19 is 4 with a remainder of 14.
Write down 4 as next digit of the result. 
Result so far: 18677.4
Subtracting 76 from 90 leaves us 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:
19 goes into 140 7 times with a remainder of 7.
The number 7 becomes the next digit in our result. 
Result so far: 18677.47
If we subtract 133 from 140, we get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

On to step 9:
When dividing 70 by 19, we get 3 with a remainder of 13.
The number 3 becomes the next digit in our result. 
Result so far: 18677.473
Deduct 57 from 70 and we're left 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.

Going ahead to step 10:
If we divide 130 by 19, we get 6 and a remainder of 16.
Record the quotient 6 as the next digit in the result. 
Result so far: 18677.4736
If we subtract 114 from 130, we 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 11:
19 can be fit into 160 8 times, resulting in a remainder of 8.
Put 8 as the next digit of the answer. 
Result so far: 18677.47368
If we subtract 152 from 160, 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.

On to step 12:
19 can be fit into 80 4 times, resulting in a remainder of 4.
Write down 4 as next digit of the result. 
Result so far: 18677.473684
If we subtract 76 from 80, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 13:
When dividing 40 by 19, we get 2 with a remainder of 2.
The number 2 becomes the next digit in our result. 
Result so far: 18677.4736842
The remainder is 2 after subtracting 38 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 14:
When dividing 20 by 19, we get 1 with a remainder of 1.
Use 1 as the next digit of our solution. 
Result so far: 18677.47368421
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.

After the division, we end up with 18677.47368421 and a remainder of 1e-09.