We're dividing 117061 by 3 
Our goal is to divide 117061 by 3.

Going ahead to step 1:
When dividing 1 by 3, we get 0 with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Append the next digit (1) from the dividend to 1 and continue with: 11 / 3

Moving on to step 2:
If we divide 11 by 3, we get 3 and a remainder of 2.
Write down 3 as next digit of the result. 
Result so far: 3.0
Subtract 9 from 11 to get 2.
Bring next digit (7) of the dividend behind the 2 and repeat the process: 27 / 3

Moving on to step 3:
3 goes into 27 9 times with a remainder of 0.
Record the quotient 9 as the next digit in the result. 
Result so far: 39.0
The remainder is 0 after subtracting 27 from 27.
Include the next digit (0) from the dividend after 0, then repeat: 0 / 3

On to step 4:
3 goes into 0 0 times with a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 390.0
If we subtract 0 from 0, we get 0.
Include the next digit (6) from the dividend after 0, then repeat: 6 / 3

Step 5:
3 can be fit into 6 2 times, resulting in a remainder of 0.
The number 2 becomes the next digit in our result. 
Result so far: 3902.0
Deduct 6 from 6 and we're left with 0.
Include the next digit (1) from the dividend after 0, then repeat: 1 / 3

Step 6:
The number 3 fits into 1 0 times, leaving a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 39020.0
If we take 0 away from 1, we end up 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.

Moving on to step 7:
If we divide 10 by 3, we get 3 and a remainder of 1.
The next digit of our result is 3. 
Result so far: 39020.3
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.

Advancing to step 8:
The number 3 fits into 10 3 times, leaving a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 39020.33
Subtract 9 from 10 to 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 39020.33 with a remaining 0.001.