601008 ÷ 15 
Our goal is to divide 601008 by 15.

Going ahead to step 1:
When dividing 6 by 15, we get 0 with a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Grab the next digit (0) from the dividend, add it to 6, then carry on: 60 / 15

Moving on to step 2:
15 can be fit into 60 4 times, resulting in a remainder of 0.
The next digit of our result is 4. 
Result so far: 4.0
Deduct 60 from 60 and we're left with 0.
Take the next digit (1) from the dividend and append it to 0, then repeat: 1 / 15

On to step 3:
The number 15 fits into 1 0 times, leaving a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 40.0
The remainder is 1 after subtracting 0 from 1.
Append the next digit (0) from the dividend to 1 and continue with: 10 / 15

Let's proceed to step 4:
When dividing 10 by 15, we get 0 with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 400.0
The remainder is 10 after subtracting 0 from 10.
Include the next digit (0) from the dividend after 10, then repeat: 100 / 15

Step 5:
When dividing 100 by 15, we get 6 with a remainder of 10.
The next digit of our result is 6. 
Result so far: 4006.0
Deduct 90 from 100 and we're left with 10.
Grab the next digit (8) from the dividend, add it to 10, then carry on: 108 / 15

Step 6:
15 goes into 108 7 times with a remainder of 3.
Put 7 as the next digit of the answer. 
Result so far: 40067.0
Subtract 105 from 108 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Step 7:
30 divided by 15 is 2 with a remainder of 0.
The next digit of our result is 2. 
Result so far: 40067.2
Subtract 30 from 30 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Moving on to step 8:
15 goes into 0 0 times with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 40067.2
If we subtract 0 from 0, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Advancing to step 9:
15 can be fit into 0 0 times, resulting in a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 40067.2
Deduct 0 from 0 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The quotient of the division is 40067.2, and the remainder is 0.0.