We look at the division of 299569 by 3 
We want to figure out the number of times 299569 can be divided by 3.

Going ahead to step 1:
2 divided by 3 is 0 with a remainder of 2.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 2, we end up with 2.
Bring next digit (9) of the dividend behind the 2 and repeat the process: 29 / 3

Step 2:
When dividing 29 by 3, we get 9 with a remainder of 2.
Write down 9 as next digit of the result. 
Result so far: 9.0
The remainder is 2 after subtracting 27 from 29.
Take the next digit (9) from the dividend and append it to 2, then repeat: 29 / 3

On to step 3:
The number 3 fits into 29 9 times, leaving a remainder of 2.
Write down 9 as next digit of the result. 
Result so far: 99.0
Subtracting 27 from 29 leaves us with 2.
Include the next digit (5) from the dividend after 2, then repeat: 25 / 3

Step 4:
3 can be fit into 25 8 times, resulting in a remainder of 1.
Use 8 as the next digit of our solution. 
Result so far: 998.0
The remainder is 1 after subtracting 24 from 25.
Include the next digit (6) from the dividend after 1, then repeat: 16 / 3

Going ahead to step 5:
3 goes into 16 5 times with a remainder of 1.
Put 5 as the next digit of the answer. 
Result so far: 9985.0
If we take 15 away from 16, we end up with 1.
Include the next digit (9) from the dividend after 1, then repeat: 19 / 3

On to step 6:
19 divided by 3 is 6 with a remainder of 1.
Use 6 as the next digit of our solution. 
Result so far: 99856.0
Subtracting 18 from 19 leaves us with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 7:
3 can be fit into 10 3 times, resulting in a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 99856.3
If we take 9 away from 10, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 8:
When dividing 10 by 3, we get 3 with a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 99856.33
Deduct 9 from 10 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

The quotient of the division is 99856.33, and the remainder is 0.001.