10065 ÷ 61 
We're looking to find how many times 61 goes into 10065.

Let's proceed to step 1:
When dividing 1 by 61, we get 0 with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Append the next digit (0) from the dividend to 1 and continue with: 10 / 61

Moving on to step 2:
61 can be fit into 10 0 times, resulting in a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 10 and we're left with 10.
Include the next digit (0) from the dividend after 10, then repeat: 100 / 61

Let's proceed to step 3:
61 can be fit into 100 1 times, resulting in a remainder of 39.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we take 61 away from 100, we end up with 39.
Fetch the next digit (6) from the dividend, attach it to 39 and continue: 396 / 61

On to step 4:
61 goes into 396 6 times with a remainder of 30.
Use 6 as the next digit of our solution. 
Result so far: 16.0
Subtracting 366 from 396 leaves us with 30.
Include the next digit (5) from the dividend after 30, then repeat: 305 / 61

Let's proceed to step 5:
61 can be fit into 305 5 times, resulting in a remainder of 0.
The next digit of our result is 5. 
Result so far: 165.0
Subtracting 305 from 305 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Step 6:
61 goes into 0 0 times with a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 165.0
If we subtract 0 from 0, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Let's proceed to step 7:
0 divided by 61 is 0 with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 165.0
Deduct 0 from 0 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Our division results in 165.0 with a remaining 0.0.