Let's divide 475946 by 15
We want to divide 475946 by 15.

Going ahead to step 1:
15 can be fit into 4 0 times, resulting in a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Fetch the next digit (7) from the dividend, attach it to 4 and continue: 47 / 15

Let's proceed to step 2:
If we divide 47 by 15, we get 3 and a remainder of 2.
Write down 3 as next digit of the result. 
Result so far: 3.0
The remainder is 2 after subtracting 45 from 47.
Include the next digit (5) from the dividend after 2, then repeat: 25 / 15

Going ahead to step 3:
When dividing 25 by 15, we get 1 with a remainder of 10.
Write down 1 as next digit of the result. 
Result so far: 31.0
Subtract 15 from 25 to get 10.
Include the next digit (9) from the dividend after 10, then repeat: 109 / 15

Moving on to step 4:
15 can be fit into 109 7 times, resulting in a remainder of 4.
Record the quotient 7 as the next digit in the result. 
Result so far: 317.0
Subtracting 105 from 109 leaves us with 4.
Bring next digit (4) of the dividend behind the 4 and repeat the process: 44 / 15

Step 5:
15 goes into 44 2 times with a remainder of 14.
Write down 2 as next digit of the result. 
Result so far: 3172.0
Subtract 30 from 44 to get 14.
Fetch the next digit (6) from the dividend, attach it to 14 and continue: 146 / 15

Advancing to step 6:
15 goes into 146 9 times with a remainder of 11.
Write down 9 as next digit of the result. 
Result so far: 31729.0
Subtracting 135 from 146 leaves us with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Going ahead to step 7:
The number 15 fits into 110 7 times, leaving a remainder of 5.
The next digit of our result is 7. 
Result so far: 31729.7
The remainder is 5 after subtracting 105 from 110.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 8:
15 can be fit into 50 3 times, resulting in a remainder of 5.
Use 3 as the next digit of our solution. 
Result so far: 31729.73
Subtracting 45 from 50 leaves us 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.

Moving on to step 9:
The number 15 fits into 50 3 times, leaving a remainder of 5.
Put 3 as the next digit of the answer. 
Result so far: 31729.733
Deduct 45 from 50 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.

Our division results in 31729.733 with a remaining 0.0005.