We're dividing 181633 by 3 
We want to figure out the number of times 181633 can be divided by 3.

Let's proceed to step 1:
The number 3 fits into 1 0 times, leaving a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Fetch the next digit (8) from the dividend, attach it to 1 and continue: 18 / 3

Step 2:
If we divide 18 by 3, we get 6 and a remainder of 0.
The next digit of our result is 6. 
Result so far: 6.0
If we take 18 away from 18, we end up with 0.
Take the next digit (1) from the dividend and append it to 0, then repeat: 1 / 3

Moving on to step 3:
3 can be fit into 1 0 times, resulting in a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 60.0
Deduct 0 from 1 and we're left with 1.
Append the next digit (6) from the dividend to 1 and continue with: 16 / 3

Moving on to step 4:
The number 3 fits into 16 5 times, leaving a remainder of 1.
Write down 5 as next digit of the result. 
Result so far: 605.0
The remainder is 1 after subtracting 15 from 16.
Append the next digit (3) from the dividend to 1 and continue with: 13 / 3

Step 5:
The number 3 fits into 13 4 times, leaving a remainder of 1.
Use 4 as the next digit of our solution. 
Result so far: 6054.0
If we subtract 12 from 13, we get 1.
Append the next digit (3) from the dividend to 1 and continue with: 13 / 3

Let's proceed to step 6:
3 can be fit into 13 4 times, resulting in a remainder of 1.
Write down 4 as next digit of the result. 
Result so far: 60544.0
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.

Step 7:
3 goes into 10 3 times with a remainder of 1.
Record the quotient 3 as the next digit in the result. 
Result so far: 60544.3
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.

Step 8:
When dividing 10 by 3, we get 3 with a remainder of 1.
Record the quotient 3 as the next digit in the result. 
Result so far: 60544.33
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.

Our division results in 60544.33 with a remaining 0.001.