603717 ÷ 3 
We're looking to find how many times 3 goes into 603717.

Step 1:
3 can be fit into 6 2 times, resulting in a remainder of 0.
Put 2 as the next digit of the answer. 
Result so far: 2.0
If we subtract 6 from 6, we get 0.
Take the next digit (0) from the dividend and append it to 0, then repeat: 0 / 3

Advancing to step 2:
0 divided by 3 is 0 with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 20.0
Subtracting 0 from 0 leaves us with 0.
Include the next digit (3) from the dividend after 0, then repeat: 3 / 3

Let's proceed to step 3:
The number 3 fits into 3 1 times, leaving a remainder of 0.
The number 1 becomes the next digit in our result. 
Result so far: 201.0
Subtract 3 from 3 to get 0.
Append the next digit (7) from the dividend to 0 and continue with: 7 / 3

Advancing to step 4:
7 divided by 3 is 2 with a remainder of 1.
The next digit of our result is 2. 
Result so far: 2012.0
If we take 6 away from 7, we end up with 1.
Fetch the next digit (1) from the dividend, attach it to 1 and continue: 11 / 3

On to step 5:
11 divided by 3 is 3 with a remainder of 2.
Write down 3 as next digit of the result. 
Result so far: 20123.0
If we subtract 9 from 11, we get 2.
Fetch the next digit (7) from the dividend, attach it to 2 and continue: 27 / 3

On to step 6:
When dividing 27 by 3, we get 9 with a remainder of 0.
Write down 9 as next digit of the result. 
Result so far: 201239.0
Subtracting 27 from 27 leaves us 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.

Advancing to step 7:
The number 3 fits into 0 0 times, leaving a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 201239.0
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.

Let's proceed to step 8:
The number 3 fits into 0 0 times, leaving a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 201239.0
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.

The quotient of the division is 201239.0, and the remainder is 0.0.