We divide 185666 by 15
Our goal is to divide 185666 by 15.

On to step 1:
The number 15 fits into 1 0 times, leaving a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Fetch the next digit (8) from the dividend, attach it to 1 and continue: 18 / 15

Moving on to step 2:
15 goes into 18 1 times with a remainder of 3.
The next digit of our result is 1. 
Result so far: 1.0
Subtract 15 from 18 to get 3.
Include the next digit (5) from the dividend after 3, then repeat: 35 / 15

Moving on to step 3:
The number 15 fits into 35 2 times, leaving a remainder of 5.
Put 2 as the next digit of the answer. 
Result so far: 12.0
The remainder is 5 after subtracting 30 from 35.
Grab the next digit (6) from the dividend, add it to 5, then carry on: 56 / 15

Going ahead to step 4:
The number 15 fits into 56 3 times, leaving a remainder of 11.
Write down 3 as next digit of the result. 
Result so far: 123.0
Subtract 45 from 56 to get 11.
Bring next digit (6) of the dividend behind the 11 and repeat the process: 116 / 15

Going ahead to step 5:
15 goes into 116 7 times with a remainder of 11.
The next digit of our result is 7. 
Result so far: 1237.0
If we subtract 105 from 116, we get 11.
Fetch the next digit (6) from the dividend, attach it to 11 and continue: 116 / 15

Going ahead to step 6:
When dividing 116 by 15, we get 7 with a remainder of 11.
Record the quotient 7 as the next digit in the result. 
Result so far: 12377.0
If we take 105 away from 116, we end up 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.

Moving on to step 7:
15 goes into 110 7 times with a remainder of 5.
Put 7 as the next digit of the answer. 
Result so far: 12377.7
If we take 105 away from 110, we end up 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.

Let's proceed to step 8:
15 goes into 50 3 times with a remainder of 5.
Put 3 as the next digit of the answer. 
Result so far: 12377.73
The remainder is 5 after subtracting 45 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 9:
If we divide 50 by 15, we get 3 and a remainder of 5.
The number 3 becomes the next digit in our result. 
Result so far: 12377.733
If we subtract 45 from 50, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

The quotient of the division is 12377.733, and the remainder is 0.0005.