684116 ÷ 61 
Let's see how many times 61 fits into 684116.

On to step 1:
If we divide 6 by 61, we get 0 and a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Include the next digit (8) from the dividend after 6, then repeat: 68 / 61

Step 2:
61 can be fit into 68 1 times, resulting in a remainder of 7.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
The remainder is 7 after subtracting 61 from 68.
Bring next digit (4) of the dividend behind the 7 and repeat the process: 74 / 61

Moving on to step 3:
If we divide 74 by 61, we get 1 and a remainder of 13.
Put 1 as the next digit of the answer. 
Result so far: 11.0
The remainder is 13 after subtracting 61 from 74.
Append the next digit (1) from the dividend to 13 and continue with: 131 / 61

Going ahead to step 4:
131 divided by 61 is 2 with a remainder of 9.
The number 2 becomes the next digit in our result. 
Result so far: 112.0
If we subtract 122 from 131, we get 9.
Grab the next digit (1) from the dividend, add it to 9, then carry on: 91 / 61

Moving on to step 5:
91 divided by 61 is 1 with a remainder of 30.
Put 1 as the next digit of the answer. 
Result so far: 1121.0
Deduct 61 from 91 and we're left with 30.
Include the next digit (6) from the dividend after 30, then repeat: 306 / 61

Step 6:
If we divide 306 by 61, we get 5 and a remainder of 1.
Put 5 as the next digit of the answer. 
Result so far: 11215.0
If we subtract 305 from 306, we 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.

On to step 7:
61 can be fit into 10 0 times, resulting in a remainder of 10.
The next digit of our result is 0. 
Result so far: 11215.0
If we take 0 away from 10, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 8:
100 divided by 61 is 1 with a remainder of 39.
The number 1 becomes the next digit in our result. 
Result so far: 11215.01
If we subtract 61 from 100, we get 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Let's proceed to step 9:
61 can be fit into 390 6 times, resulting in a remainder of 24.
Write down 6 as next digit of the result. 
Result so far: 11215.016
If we subtract 366 from 390, we get 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 10:
When dividing 240 by 61, we get 3 with a remainder of 57.
Use 3 as the next digit of our solution. 
Result so far: 11215.0163
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.

Advancing to step 11:
61 can be fit into 570 9 times, resulting in a remainder of 21.
Write down 9 as next digit of the result. 
Result so far: 11215.01639
Subtracting 549 from 570 leaves us 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 12:
The number 61 fits into 210 3 times, leaving a remainder of 27.
The next digit of our result is 3. 
Result so far: 11215.016393
The remainder is 27 after subtracting 183 from 210.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Going ahead to step 13:
When dividing 270 by 61, we get 4 with a remainder of 26.
The next digit of our result is 4. 
Result so far: 11215.0163934
If we take 244 away from 270, we end up 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.

Going ahead to step 14:
When dividing 260 by 61, we get 4 with a remainder of 16.
The next digit of our result is 4. 
Result so far: 11215.01639344
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 11215.01639344 with a balance of 1.6e-08.