101185 ÷ 3 
Our goal is to divide 101185 by 3.

On to step 1:
3 goes into 1 0 times with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Append the next digit (0) from the dividend to 1 and continue with: 10 / 3

Advancing to step 2:
The number 3 fits into 10 3 times, leaving a remainder of 1.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
Subtract 9 from 10 to get 1.
Grab the next digit (1) from the dividend, add it to 1, then carry on: 11 / 3

Let's proceed to step 3:
3 goes into 11 3 times with a remainder of 2.
Write down 3 as next digit of the result. 
Result so far: 33.0
Subtract 9 from 11 to get 2.
Fetch the next digit (1) from the dividend, attach it to 2 and continue: 21 / 3

On to step 4:
21 divided by 3 is 7 with a remainder of 0.
Record the quotient 7 as the next digit in the result. 
Result so far: 337.0
Subtracting 21 from 21 leaves us with 0.
Include the next digit (8) from the dividend after 0, then repeat: 8 / 3

Going ahead to step 5:
3 can be fit into 8 2 times, resulting in a remainder of 2.
The number 2 becomes the next digit in our result. 
Result so far: 3372.0
Deduct 6 from 8 and we're left with 2.
Grab the next digit (5) from the dividend, add it to 2, then carry on: 25 / 3

Let's proceed to step 6:
The number 3 fits into 25 8 times, leaving a remainder of 1.
Record the quotient 8 as the next digit in the result. 
Result so far: 33728.0
The remainder is 1 after subtracting 24 from 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Moving on to step 7:
3 can be fit into 10 3 times, resulting in a remainder of 1.
The next digit of our result is 3. 
Result so far: 33728.3
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.

Step 8:
3 can be fit into 10 3 times, resulting in a remainder of 1.
The number 3 becomes the next digit in our result. 
Result so far: 33728.33
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.

After the division, we end up with 33728.33 and a remainder of 0.001.