102016 divided by 61 
We're looking to find how many times 61 goes into 102016.

Advancing to step 1:
61 goes into 1 0 times with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Append the next digit (0) from the dividend to 1 and continue with: 10 / 61

Going ahead to step 2:
If we divide 10 by 61, we get 0 and a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 10, we get 10.
Include the next digit (2) from the dividend after 10, then repeat: 102 / 61

Going ahead to step 3:
The number 61 fits into 102 1 times, leaving a remainder of 41.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we take 61 away from 102, we end up with 41.
Append the next digit (0) from the dividend to 41 and continue with: 410 / 61

Going ahead to step 4:
If we divide 410 by 61, we get 6 and a remainder of 44.
The number 6 becomes the next digit in our result. 
Result so far: 16.0
Deduct 366 from 410 and we're left with 44.
Append the next digit (1) from the dividend to 44 and continue with: 441 / 61

Let's proceed to step 5:
When dividing 441 by 61, we get 7 with a remainder of 14.
Write down 7 as next digit of the result. 
Result so far: 167.0
If we take 427 away from 441, we end up with 14.
Take the next digit (6) from the dividend and append it to 14, then repeat: 146 / 61

Step 6:
The number 61 fits into 146 2 times, leaving a remainder of 24.
The number 2 becomes the next digit in our result. 
Result so far: 1672.0
If we take 122 away from 146, we end up with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Going ahead to step 7:
61 can be fit into 240 3 times, resulting in a remainder of 57.
Put 3 as the next digit of the answer. 
Result so far: 1672.3
Deduct 183 from 240 and we're left with 57.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

Going ahead to step 8:
61 goes into 570 9 times with a remainder of 21.
Put 9 as the next digit of the answer. 
Result so far: 1672.39
If we take 549 away from 570, we end up 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.

Step 9:
210 divided by 61 is 3 with a remainder of 27.
Put 3 as the next digit of the answer. 
Result so far: 1672.393
Deduct 183 from 210 and we're left 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.

Moving on to step 10:
270 divided by 61 is 4 with a remainder of 26.
The number 4 becomes the next digit in our result. 
Result so far: 1672.3934
Subtracting 244 from 270 leaves us with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Step 11:
When dividing 260 by 61, we get 4 with a remainder of 16.
The next digit of our result is 4. 
Result so far: 1672.39344
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.

In conclusion, the division gives 1672.39344 with a balance of 1.6e-05.