We're dividing 488746 by 15 
We want to figure out the number of times 488746 can be divided by 15.

Going ahead to step 1:
15 goes into 4 0 times with a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Bring next digit (8) of the dividend behind the 4 and repeat the process: 48 / 15

Advancing to step 2:
15 goes into 48 3 times with a remainder of 3.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
Subtract 45 from 48 to get 3.
Fetch the next digit (8) from the dividend, attach it to 3 and continue: 38 / 15

Advancing to step 3:
When dividing 38 by 15, we get 2 with a remainder of 8.
Write down 2 as next digit of the result. 
Result so far: 32.0
Subtract 30 from 38 to get 8.
Bring next digit (7) of the dividend behind the 8 and repeat the process: 87 / 15

Going ahead to step 4:
15 can be fit into 87 5 times, resulting in a remainder of 12.
Write down 5 as next digit of the result. 
Result so far: 325.0
Subtracting 75 from 87 leaves us with 12.
Fetch the next digit (4) from the dividend, attach it to 12 and continue: 124 / 15

Step 5:
If we divide 124 by 15, we get 8 and a remainder of 4.
Write down 8 as next digit of the result. 
Result so far: 3258.0
Deduct 120 from 124 and we're left with 4.
Grab the next digit (6) from the dividend, add it to 4, then carry on: 46 / 15

Advancing to step 6:
If we divide 46 by 15, we get 3 and a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 32583.0
Subtracting 45 from 46 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 7:
The number 15 fits into 10 0 times, leaving a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 32583.0
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.

Let's proceed to step 8:
If we divide 100 by 15, we get 6 and a remainder of 10.
The next digit of our result is 6. 
Result so far: 32583.06
If we subtract 90 from 100, 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.

Step 9:
15 can be fit into 100 6 times, resulting in a remainder of 10.
Put 6 as the next digit of the answer. 
Result so far: 32583.066
If we subtract 90 from 100, 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.

The quotient of the division is 32583.066, and the remainder is 0.001.