We look at the division of 741008 by 19 
We want to figure out the number of times 741008 can be divided by 19.

Step 1:
19 can be fit into 7 0 times, resulting in a remainder of 7.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 7, we end up with 7.
Include the next digit (4) from the dividend after 7, then repeat: 74 / 19

Advancing to step 2:
When dividing 74 by 19, we get 3 with a remainder of 17.
Write down 3 as next digit of the result. 
Result so far: 3.0
Deduct 57 from 74 and we're left with 17.
Fetch the next digit (1) from the dividend, attach it to 17 and continue: 171 / 19

Going ahead to step 3:
19 can be fit into 171 9 times, resulting in a remainder of 0.
Write down 9 as next digit of the result. 
Result so far: 39.0
The remainder is 0 after subtracting 171 from 171.
Fetch the next digit (0) from the dividend, attach it to 0 and continue: 0 / 19

Let's proceed to step 4:
The number 19 fits into 0 0 times, leaving a remainder of 0.
The next digit of our result is 0. 
Result so far: 390.0
Subtract 0 from 0 to get 0.
Grab the next digit (0) from the dividend, add it to 0, then carry on: 0 / 19

On to step 5:
If we divide 0 by 19, we get 0 and a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 3900.0
If we subtract 0 from 0, we get 0.
Fetch the next digit (8) from the dividend, attach it to 0 and continue: 8 / 19

On to step 6:
8 divided by 19 is 0 with a remainder of 8.
The next digit of our result is 0. 
Result so far: 39000.0
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:
The number 19 fits into 80 4 times, leaving a remainder of 4.
Record the quotient 4 as the next digit in the result. 
Result so far: 39000.4
Subtract 76 from 80 to 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.

Going ahead to step 8:
The number 19 fits into 40 2 times, leaving a remainder of 2.
The next digit of our result is 2. 
Result so far: 39000.42
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:
If we divide 20 by 19, we get 1 and a remainder of 1.
Put 1 as the next digit of the answer. 
Result so far: 39000.421
Deduct 19 from 20 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.

Going ahead to step 10:
If we divide 10 by 19, we get 0 and a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 39000.421
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.

Advancing to step 11:
19 can be fit into 100 5 times, resulting in a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 39000.42105
Subtract 95 from 100 to 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 12:
When dividing 50 by 19, we get 2 with a remainder of 12.
Write down 2 as next digit of the result. 
Result so far: 39000.421052
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.

Moving on 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: 39000.4210526
Deduct 114 from 120 and we're left 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 14:
The number 19 fits into 60 3 times, leaving a remainder of 3.
Use 3 as the next digit of our solution. 
Result so far: 39000.42105263
Subtract 57 from 60 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

The quotient of the division is 39000.42105263, and the remainder is 3e-09.