41746 ÷ 15 
We want to divide 41746 by 15.

Step 1:
15 can be fit into 4 0 times, resulting in a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Fetch the next digit (1) from the dividend, attach it to 4 and continue: 41 / 15

Going ahead to step 2:
15 can be fit into 41 2 times, resulting in a remainder of 11.
Write down 2 as next digit of the result. 
Result so far: 2.0
If we subtract 30 from 41, we get 11.
Fetch the next digit (7) from the dividend, attach it to 11 and continue: 117 / 15

Let's proceed to step 3:
The number 15 fits into 117 7 times, leaving a remainder of 12.
The number 7 becomes the next digit in our result. 
Result so far: 27.0
Subtracting 105 from 117 leaves us with 12.
Fetch the next digit (4) from the dividend, attach it to 12 and continue: 124 / 15

Step 4:
When dividing 124 by 15, we get 8 with a remainder of 4.
The next digit of our result is 8. 
Result so far: 278.0
If we subtract 120 from 124, we get 4.
Append the next digit (6) from the dividend to 4 and continue with: 46 / 15

Advancing to step 5:
The number 15 fits into 46 3 times, leaving a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 2783.0
If we subtract 45 from 46, we get 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 6:
10 divided by 15 is 0 with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 2783.0
Subtract 0 from 10 to 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.

Moving on to step 7:
The number 15 fits into 100 6 times, leaving a remainder of 10.
The next digit of our result is 6. 
Result so far: 2783.06
Subtracting 90 from 100 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.

Moving on to step 8:
15 goes into 100 6 times with a remainder of 10.
Use 6 as the next digit of our solution. 
Result so far: 2783.066
The remainder is 10 after subtracting 90 from 100.
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 2783.066, and the remainder is 0.001.