5754 ÷ 19 
Our goal is to divide 5754 by 19.

Going ahead to step 1:
If we divide 5 by 19, we get 0 and a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Take the next digit (7) from the dividend and append it to 5, then repeat: 57 / 19

Let's proceed to step 2:
The number 19 fits into 57 3 times, leaving a remainder of 0.
Write down 3 as next digit of the result. 
Result so far: 3.0
If we subtract 57 from 57, we get 0.
Include the next digit (5) from the dividend after 0, then repeat: 5 / 19

Advancing to step 3:
If we divide 5 by 19, we get 0 and a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 30.0
Deduct 0 from 5 and we're left with 5.
Append the next digit (4) from the dividend to 5 and continue with: 54 / 19

Let's proceed to step 4:
When dividing 54 by 19, we get 2 with a remainder of 16.
Put 2 as the next digit of the answer. 
Result so far: 302.0
Subtract 38 from 54 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.

Advancing to step 5:
When dividing 160 by 19, we get 8 with a remainder of 8.
Write down 8 as next digit of the result. 
Result so far: 302.8
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.

Advancing to step 6:
If we divide 80 by 19, we get 4 and a remainder of 4.
The number 4 becomes the next digit in our result. 
Result so far: 302.84
The remainder is 4 after subtracting 76 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 7:
19 goes into 40 2 times with a remainder of 2.
Write down 2 as next digit of the result. 
Result so far: 302.842
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 8:
19 goes into 20 1 times with a remainder of 1.
Use 1 as the next digit of our solution. 
Result so far: 302.8421
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.

Moving on to step 9:
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: 302.8421
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.

Let's proceed to step 10:
100 divided by 19 is 5 with a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 302.842105
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.

Step 11:
19 goes into 50 2 times with a remainder of 12.
Write down 2 as next digit of the result. 
Result so far: 302.8421052
Subtracting 38 from 50 leaves us 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.

Going ahead to step 12:
120 divided by 19 is 6 with a remainder of 6.
Put 6 as the next digit of the answer. 
Result so far: 302.84210526
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.

The quotient of the division is 302.84210526, and the remainder is 6e-09.