984523 ÷ 3 
We want to figure out the number of times 984523 can be divided by 3.

Going ahead to step 1:
9 divided by 3 is 3 with a remainder of 0.
Write down 3 as next digit of the result. 
Result so far: 3.0
Deduct 9 from 9 and we're left with 0.
Append the next digit (8) from the dividend to 0 and continue with: 8 / 3

Advancing to step 2:
If we divide 8 by 3, we get 2 and a remainder of 2.
Record the quotient 2 as the next digit in the result. 
Result so far: 32.0
If we subtract 6 from 8, we get 2.
Include the next digit (4) from the dividend after 2, then repeat: 24 / 3

Step 3:
When dividing 24 by 3, we get 8 with a remainder of 0.
The next digit of our result is 8. 
Result so far: 328.0
The remainder is 0 after subtracting 24 from 24.
Include the next digit (5) from the dividend after 0, then repeat: 5 / 3

Step 4:
3 can be fit into 5 1 times, resulting in a remainder of 2.
The next digit of our result is 1. 
Result so far: 3281.0
If we take 3 away from 5, we end up with 2.
Bring next digit (2) of the dividend behind the 2 and repeat the process: 22 / 3

On to step 5:
3 can be fit into 22 7 times, resulting in a remainder of 1.
Put 7 as the next digit of the answer. 
Result so far: 32817.0
The remainder is 1 after subtracting 21 from 22.
Grab the next digit (3) from the dividend, add it to 1, then carry on: 13 / 3

On to step 6:
3 goes into 13 4 times with a remainder of 1.
The next digit of our result is 4. 
Result so far: 328174.0
If we subtract 12 from 13, 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.

On to step 7:
3 goes into 10 3 times with a remainder of 1.
The next digit of our result is 3. 
Result so far: 328174.3
If we subtract 9 from 10, 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.

Step 8:
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: 328174.33
Subtracting 9 from 10 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.

Our division results in 328174.33 with a remaining 0.001.