We look at the division of 218602 by 3 
We're looking to find how many times 3 goes into 218602.

Advancing to step 1:
2 divided by 3 is 0 with a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 2 leaves us with 2.
Grab the next digit (1) from the dividend, add it to 2, then carry on: 21 / 3

Step 2:
3 goes into 21 7 times with a remainder of 0.
Put 7 as the next digit of the answer. 
Result so far: 7.0
Deduct 21 from 21 and we're left with 0.
Append the next digit (8) from the dividend to 0 and continue with: 8 / 3

On to step 3:
3 can be fit into 8 2 times, resulting in a remainder of 2.
Record the quotient 2 as the next digit in the result. 
Result so far: 72.0
If we take 6 away from 8, we end up with 2.
Grab the next digit (6) from the dividend, add it to 2, then carry on: 26 / 3

Going ahead to step 4:
3 can be fit into 26 8 times, resulting in a remainder of 2.
Record the quotient 8 as the next digit in the result. 
Result so far: 728.0
If we take 24 away from 26, we end up with 2.
Take the next digit (0) from the dividend and append it to 2, then repeat: 20 / 3

Advancing to step 5:
When dividing 20 by 3, we get 6 with a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 7286.0
Subtract 18 from 20 to get 2.
Append the next digit (2) from the dividend to 2 and continue with: 22 / 3

Moving on to step 6:
When dividing 22 by 3, we get 7 with a remainder of 1.
Use 7 as the next digit of our solution. 
Result so far: 72867.0
If we subtract 21 from 22, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Advancing to step 7:
If we divide 10 by 3, we get 3 and a remainder of 1.
The next digit of our result is 3. 
Result so far: 72867.3
Subtract 9 from 10 to get 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 8:
3 goes into 10 3 times with a remainder of 1.
The number 3 becomes the next digit in our result. 
Result so far: 72867.33
The remainder is 1 after subtracting 9 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

After the division, we end up with 72867.33 and a remainder of 0.001.