Let's divide 218597 by 3
Our goal is to divide 218597 by 3.

On to step 1:
The number 3 fits into 2 0 times, leaving 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.
Fetch the next digit (1) from the dividend, attach it to 2 and continue: 21 / 3

Going ahead to step 2:
When dividing 21 by 3, we get 7 with a remainder of 0.
The next digit of our result is 7. 
Result so far: 7.0
Deduct 21 from 21 and we're left with 0.
Fetch the next digit (8) from the dividend, attach it to 0 and continue: 8 / 3

Advancing to step 3:
If we divide 8 by 3, we get 2 and a remainder of 2.
The next digit of our result is 2. 
Result so far: 72.0
Subtracting 6 from 8 leaves us with 2.
Take the next digit (5) from the dividend and append it to 2, then repeat: 25 / 3

Advancing to step 4:
If we divide 25 by 3, we get 8 and a remainder of 1.
Record the quotient 8 as the next digit in the result. 
Result so far: 728.0
If we take 24 away from 25, we end up with 1.
Fetch the next digit (9) from the dividend, attach it to 1 and continue: 19 / 3

On to step 5:
19 divided by 3 is 6 with a remainder of 1.
The next digit of our result is 6. 
Result so far: 7286.0
If we take 18 away from 19, we end up with 1.
Append the next digit (7) from the dividend to 1 and continue with: 17 / 3

Going ahead to step 6:
When dividing 17 by 3, we get 5 with a remainder of 2.
The number 5 becomes the next digit in our result. 
Result so far: 72865.0
Subtracting 15 from 17 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 7:
If we divide 20 by 3, we get 6 and a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 72865.6
If we subtract 18 from 20, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 8:
20 divided by 3 is 6 with a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 72865.66
The remainder is 2 after subtracting 18 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

In conclusion, the division gives 72865.66 with a balance of 0.002.