668421 ÷ 19 
We want to divide 668421 by 19.

On to step 1:
6 divided by 19 is 0 with a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Fetch the next digit (6) from the dividend, attach it to 6 and continue: 66 / 19

Going ahead to step 2:
66 divided by 19 is 3 with a remainder of 9.
Put 3 as the next digit of the answer. 
Result so far: 3.0
Subtracting 57 from 66 leaves us with 9.
Bring next digit (8) of the dividend behind the 9 and repeat the process: 98 / 19

Let's proceed to step 3:
The number 19 fits into 98 5 times, leaving a remainder of 3.
Put 5 as the next digit of the answer. 
Result so far: 35.0
Subtract 95 from 98 to get 3.
Grab the next digit (4) from the dividend, add it to 3, then carry on: 34 / 19

Let's proceed to step 4:
If we divide 34 by 19, we get 1 and a remainder of 15.
The next digit of our result is 1. 
Result so far: 351.0
The remainder is 15 after subtracting 19 from 34.
Grab the next digit (2) from the dividend, add it to 15, then carry on: 152 / 19

On to step 5:
19 can be fit into 152 8 times, resulting in a remainder of 0.
Use 8 as the next digit of our solution. 
Result so far: 3518.0
If we take 152 away from 152, we end up with 0.
Append the next digit (1) from the dividend to 0 and continue with: 1 / 19

On to step 6:
If we divide 1 by 19, we get 0 and a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 35180.0
Deduct 0 from 1 and we're left 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.

Step 7:
If we divide 10 by 19, we get 0 and a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 35180.0
The remainder is 10 after subtracting 0 from 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 8:
The number 19 fits into 100 5 times, leaving a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 35180.05
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 9:
The number 19 fits into 50 2 times, leaving a remainder of 12.
The number 2 becomes the next digit in our result. 
Result so far: 35180.052
Deduct 38 from 50 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.

Advancing to step 10:
19 can be fit into 120 6 times, resulting in a remainder of 6.
Put 6 as the next digit of the answer. 
Result so far: 35180.0526
Subtracting 114 from 120 leaves us with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Moving on to step 11:
When dividing 60 by 19, we get 3 with a remainder of 3.
Put 3 as the next digit of the answer. 
Result so far: 35180.05263
Subtracting 57 from 60 leaves us with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Moving on to step 12:
19 goes into 30 1 times with a remainder of 11.
The number 1 becomes the next digit in our result. 
Result so far: 35180.052631
The remainder is 11 after subtracting 19 from 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Let's proceed to step 13:
19 goes into 110 5 times with a remainder of 15.
The number 5 becomes the next digit in our result. 
Result so far: 35180.0526315
Subtract 95 from 110 to get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Step 14:
If we divide 150 by 19, we get 7 and a remainder of 17.
The next digit of our result is 7. 
Result so far: 35180.05263157
Subtract 133 from 150 to get 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Our division results in 35180.05263157 with a remaining 1.7e-08.