We're dividing 15746 by 30 
We're looking to find how many times 30 goes into 15746.

Advancing to step 1:
30 goes into 1 0 times with a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Grab the next digit (5) from the dividend, add it to 1, then carry on: 15 / 30

Advancing to step 2:
15 divided by 30 is 0 with a remainder of 15.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 15 leaves us with 15.
Take the next digit (7) from the dividend and append it to 15, then repeat: 157 / 30

Let's proceed to step 3:
157 divided by 30 is 5 with a remainder of 7.
The next digit of our result is 5. 
Result so far: 5.0
If we take 150 away from 157, we end up with 7.
Bring next digit (4) of the dividend behind the 7 and repeat the process: 74 / 30

Moving on to step 4:
30 can be fit into 74 2 times, resulting in a remainder of 14.
Use 2 as the next digit of our solution. 
Result so far: 52.0
Subtracting 60 from 74 leaves us with 14.
Take the next digit (6) from the dividend and append it to 14, then repeat: 146 / 30

Going ahead to step 5:
If we divide 146 by 30, we get 4 and a remainder of 26.
The next digit of our result is 4. 
Result so far: 524.0
The remainder is 26 after subtracting 120 from 146.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Going ahead to step 6:
30 can be fit into 260 8 times, resulting in a remainder of 20.
The next digit of our result is 8. 
Result so far: 524.8
Subtract 240 from 260 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 7:
200 divided by 30 is 6 with a remainder of 20.
Use 6 as the next digit of our solution. 
Result so far: 524.86
The remainder is 20 after subtracting 180 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 8:
30 can be fit into 200 6 times, resulting in a remainder of 20.
Use 6 as the next digit of our solution. 
Result so far: 524.866
If we subtract 180 from 200, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

The quotient of the division is 524.866, and the remainder is 0.002.