Let's divide 321527 by 3
We want to figure out the number of times 321527 can be divided by 3.

On to step 1:
3 can be fit into 3 1 times, resulting in a remainder of 0.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we take 3 away from 3, we end up with 0.
Include the next digit (2) from the dividend after 0, then repeat: 2 / 3

On to step 2:
If we divide 2 by 3, we get 0 and a remainder of 2.
The number 0 becomes the next digit in our result. 
Result so far: 10.0
Subtracting 0 from 2 leaves us with 2.
Include the next digit (1) from the dividend after 2, then repeat: 21 / 3

Step 3:
When dividing 21 by 3, we get 7 with a remainder of 0.
Write down 7 as next digit of the result. 
Result so far: 107.0
Deduct 21 from 21 and we're left with 0.
Fetch the next digit (5) from the dividend, attach it to 0 and continue: 5 / 3

Going ahead to step 4:
If we divide 5 by 3, we get 1 and a remainder of 2.
Use 1 as the next digit of our solution. 
Result so far: 1071.0
If we take 3 away from 5, we end up with 2.
Include the next digit (2) from the dividend after 2, then repeat: 22 / 3

Moving on to step 5:
The number 3 fits into 22 7 times, leaving a remainder of 1.
The next digit of our result is 7. 
Result so far: 10717.0
Deduct 21 from 22 and we're left with 1.
Include the next digit (7) from the dividend after 1, then repeat: 17 / 3

Moving on to step 6:
When dividing 17 by 3, we get 5 with a remainder of 2.
Put 5 as the next digit of the answer. 
Result so far: 107175.0
The remainder is 2 after subtracting 15 from 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 7:
3 goes into 20 6 times with a remainder of 2.
The next digit of our result is 6. 
Result so far: 107175.6
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.

Step 8:
3 can be fit into 20 6 times, resulting in a remainder of 2.
Use 6 as the next digit of our solution. 
Result so far: 107175.66
Deduct 18 from 20 and we're left 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.

After the division, we end up with 107175.66 and a remainder of 0.002.