We look at the division of 743184 by 38 
We want to divide 743184 by 38.

Step 1:
If we divide 7 by 38, we get 0 and a remainder of 7.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 7 leaves us with 7.
Grab the next digit (4) from the dividend, add it to 7, then carry on: 74 / 38

Advancing to step 2:
When dividing 74 by 38, we get 1 with a remainder of 36.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Deduct 38 from 74 and we're left with 36.
Fetch the next digit (3) from the dividend, attach it to 36 and continue: 363 / 38

On to step 3:
38 goes into 363 9 times with a remainder of 21.
Write down 9 as next digit of the result. 
Result so far: 19.0
Subtracting 342 from 363 leaves us with 21.
Include the next digit (1) from the dividend after 21, then repeat: 211 / 38

Let's proceed to step 4:
The number 38 fits into 211 5 times, leaving a remainder of 21.
The number 5 becomes the next digit in our result. 
Result so far: 195.0
Subtract 190 from 211 to get 21.
Fetch the next digit (8) from the dividend, attach it to 21 and continue: 218 / 38

On to step 5:
38 can be fit into 218 5 times, resulting in a remainder of 28.
The next digit of our result is 5. 
Result so far: 1955.0
If we subtract 190 from 218, we get 28.
Append the next digit (4) from the dividend to 28 and continue with: 284 / 38

Step 6:
38 goes into 284 7 times with a remainder of 18.
Use 7 as the next digit of our solution. 
Result so far: 19557.0
Subtracting 266 from 284 leaves us with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Going ahead to step 7:
The number 38 fits into 180 4 times, leaving a remainder of 28.
The number 4 becomes the next digit in our result. 
Result so far: 19557.4
Deduct 152 from 180 and we're left with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Step 8:
The number 38 fits into 280 7 times, leaving a remainder of 14.
Write down 7 as next digit of the result. 
Result so far: 19557.47
The remainder is 14 after subtracting 266 from 280.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Going ahead to step 9:
The number 38 fits into 140 3 times, leaving a remainder of 26.
The next digit of our result is 3. 
Result so far: 19557.473
Deduct 114 from 140 and we're left with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Advancing to step 10:
38 can be fit into 260 6 times, resulting in a remainder of 32.
Put 6 as the next digit of the answer. 
Result so far: 19557.4736
If we take 228 away from 260, we end up with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Moving on to step 11:
When dividing 320 by 38, we get 8 with a remainder of 16.
Use 8 as the next digit of our solution. 
Result so far: 19557.47368
Subtract 304 from 320 to 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.

Let's proceed to step 12:
38 can be fit into 160 4 times, resulting in a remainder of 8.
Write down 4 as next digit of the result. 
Result so far: 19557.473684
Deduct 152 from 160 and we're left 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.

Step 13:
When dividing 80 by 38, we get 2 with a remainder of 4.
The next digit of our result is 2. 
Result so far: 19557.4736842
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.

Advancing to step 14:
40 divided by 38 is 1 with a remainder of 2.
Use 1 as the next digit of our solution. 
Result so far: 19557.47368421
Subtracting 38 from 40 leaves us 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.

The quotient of the division is 19557.47368421, and the remainder is 2e-09.