We look at the division of 340645 by 15 
Let's see how many times 15 fits into 340645.

On to step 1:
15 can be fit into 3 0 times, resulting in a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Append the next digit (4) from the dividend to 3 and continue with: 34 / 15

Moving on to step 2:
15 can be fit into 34 2 times, resulting in a remainder of 4.
Use 2 as the next digit of our solution. 
Result so far: 2.0
Subtract 30 from 34 to get 4.
Grab the next digit (0) from the dividend, add it to 4, then carry on: 40 / 15

Going ahead to step 3:
40 divided by 15 is 2 with a remainder of 10.
Write down 2 as next digit of the result. 
Result so far: 22.0
Subtracting 30 from 40 leaves us with 10.
Fetch the next digit (6) from the dividend, attach it to 10 and continue: 106 / 15

Let's proceed to step 4:
15 can be fit into 106 7 times, resulting in a remainder of 1.
Use 7 as the next digit of our solution. 
Result so far: 227.0
Deduct 105 from 106 and we're left with 1.
Bring next digit (4) of the dividend behind the 1 and repeat the process: 14 / 15

Moving on to step 5:
If we divide 14 by 15, we get 0 and a remainder of 14.
Record the quotient 0 as the next digit in the result. 
Result so far: 2270.0
If we take 0 away from 14, we end up with 14.
Grab the next digit (5) from the dividend, add it to 14, then carry on: 145 / 15

On to step 6:
15 can be fit into 145 9 times, resulting in a remainder of 10.
The next digit of our result is 9. 
Result so far: 22709.0
If we take 135 away from 145, we end up 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.

Advancing to step 7:
15 can be fit into 100 6 times, resulting in a remainder of 10.
The number 6 becomes the next digit in our result. 
Result so far: 22709.6
Deduct 90 from 100 and we're left 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.

Going ahead to step 8:
The number 15 fits into 100 6 times, leaving a remainder of 10.
Record the quotient 6 as the next digit in the result. 
Result so far: 22709.66
Deduct 90 from 100 and we're left 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.

The quotient of the division is 22709.66, and the remainder is 0.01.