We're dividing 674318 by 19 
We're looking to find how many times 19 goes into 674318.

Advancing to step 1:
6 divided by 19 is 0 with a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Fetch the next digit (7) from the dividend, attach it to 6 and continue: 67 / 19

Advancing to step 2:
The number 19 fits into 67 3 times, leaving a remainder of 10.
Use 3 as the next digit of our solution. 
Result so far: 3.0
Subtracting 57 from 67 leaves us with 10.
Append the next digit (4) from the dividend to 10 and continue with: 104 / 19

Step 3:
19 goes into 104 5 times with a remainder of 9.
Write down 5 as next digit of the result. 
Result so far: 35.0
The remainder is 9 after subtracting 95 from 104.
Include the next digit (3) from the dividend after 9, then repeat: 93 / 19

Let's proceed to step 4:
19 goes into 93 4 times with a remainder of 17.
Put 4 as the next digit of the answer. 
Result so far: 354.0
If we subtract 76 from 93, we get 17.
Include the next digit (1) from the dividend after 17, then repeat: 171 / 19

On to step 5:
19 goes into 171 9 times with a remainder of 0.
Write down 9 as next digit of the result. 
Result so far: 3549.0
If we take 171 away from 171, we end up with 0.
Fetch the next digit (8) from the dividend, attach it to 0 and continue: 8 / 19

Advancing to step 6:
When dividing 8 by 19, we get 0 with a remainder of 8.
Use 0 as the next digit of our solution. 
Result so far: 35490.0
Subtract 0 from 8 to 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.

Step 7:
19 goes into 80 4 times with a remainder of 4.
Put 4 as the next digit of the answer. 
Result so far: 35490.4
If we take 76 away from 80, we end up with 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 8:
If we divide 40 by 19, we get 2 and a remainder of 2.
The next digit of our result is 2. 
Result so far: 35490.42
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.

On to step 9:
20 divided by 19 is 1 with a remainder of 1.
Use 1 as the next digit of our solution. 
Result so far: 35490.421
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.

Advancing to step 10:
When dividing 10 by 19, we get 0 with a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 35490.421
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.

On to step 11:
If we divide 100 by 19, we get 5 and a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 35490.42105
Deduct 95 from 100 and we're left with 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 12:
50 divided by 19 is 2 with a remainder of 12.
The number 2 becomes the next digit in our result. 
Result so far: 35490.421052
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.

Let's proceed to step 13:
120 divided by 19 is 6 with a remainder of 6.
Put 6 as the next digit of the answer. 
Result so far: 35490.4210526
If we take 114 away from 120, we end up 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.

Step 14:
When dividing 60 by 19, we get 3 with a remainder of 3.
Record the quotient 3 as the next digit in the result. 
Result so far: 35490.42105263
Deduct 57 from 60 and we're left 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.

After the division, we end up with 35490.42105263 and a remainder of 3e-09.