We're dividing 102720 by 61 
Our goal is to divide 102720 by 61.

Step 1:
When dividing 1 by 61, we get 0 with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Bring next digit (0) of the dividend behind the 1 and repeat the process: 10 / 61

Step 2:
61 goes into 10 0 times with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 10, we end up with 10.
Include the next digit (2) from the dividend after 10, then repeat: 102 / 61

Step 3:
The number 61 fits into 102 1 times, leaving a remainder of 41.
The next digit of our result is 1. 
Result so far: 1.0
Subtracting 61 from 102 leaves us with 41.
Append the next digit (7) from the dividend to 41 and continue with: 417 / 61

On to step 4:
The number 61 fits into 417 6 times, leaving a remainder of 51.
Put 6 as the next digit of the answer. 
Result so far: 16.0
If we subtract 366 from 417, we get 51.
Append the next digit (2) from the dividend to 51 and continue with: 512 / 61

Advancing to step 5:
When dividing 512 by 61, we get 8 with a remainder of 24.
Record the quotient 8 as the next digit in the result. 
Result so far: 168.0
The remainder is 24 after subtracting 488 from 512.
Fetch the next digit (0) from the dividend, attach it to 24 and continue: 240 / 61

Step 6:
When dividing 240 by 61, we get 3 with a remainder of 57.
Record the quotient 3 as the next digit in the result. 
Result so far: 1683.0
The remainder is 57 after subtracting 183 from 240.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

Moving on to step 7:
The number 61 fits into 570 9 times, leaving a remainder of 21.
Use 9 as the next digit of our solution. 
Result so far: 1683.9
Deduct 549 from 570 and we're left with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Going ahead to step 8:
The number 61 fits into 210 3 times, leaving a remainder of 27.
Record the quotient 3 as the next digit in the result. 
Result so far: 1683.93
Subtracting 183 from 210 leaves us with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Step 9:
61 can be fit into 270 4 times, resulting in a remainder of 26.
Write down 4 as next digit of the result. 
Result so far: 1683.934
If we subtract 244 from 270, we get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Advancing to step 10:
260 divided by 61 is 4 with a remainder of 16.
Use 4 as the next digit of our solution. 
Result so far: 1683.9344
Deduct 244 from 260 and we're left with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

The final outcome is 1683.9344, with a leftover of 0.00016.