We're dividing 9424 by 15 
Let's see how many times 15 fits into 9424.

Let's proceed to step 1:
When dividing 9 by 15, we get 0 with a remainder of 9.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 9, we end up with 9.
Take the next digit (4) from the dividend and append it to 9, then repeat: 94 / 15

Going ahead to step 2:
When dividing 94 by 15, we get 6 with a remainder of 4.
The next digit of our result is 6. 
Result so far: 6.0
If we subtract 90 from 94, we get 4.
Bring next digit (2) of the dividend behind the 4 and repeat the process: 42 / 15

Let's proceed to step 3:
When dividing 42 by 15, we get 2 with a remainder of 12.
Record the quotient 2 as the next digit in the result. 
Result so far: 62.0
Deduct 30 from 42 and we're left with 12.
Bring next digit (4) of the dividend behind the 12 and repeat the process: 124 / 15

Let's proceed to step 4:
The number 15 fits into 124 8 times, leaving a remainder of 4.
Put 8 as the next digit of the answer. 
Result so far: 628.0
Subtracting 120 from 124 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 5:
The number 15 fits into 40 2 times, leaving a remainder of 10.
Put 2 as the next digit of the answer. 
Result so far: 628.2
Subtracting 30 from 40 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.

On to step 6:
15 goes into 100 6 times with a remainder of 10.
Use 6 as the next digit of our solution. 
Result so far: 628.26
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.

Moving on to step 7:
When dividing 100 by 15, we get 6 with a remainder of 10.
Use 6 as the next digit of our solution. 
Result so far: 628.266
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.

The quotient of the division is 628.266, and the remainder is 0.001.