684521 divided by 61 
We're looking to find how many times 61 goes into 684521.

On to step 1:
61 goes into 6 0 times with a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Grab the next digit (8) from the dividend, add it to 6, then carry on: 68 / 61

Moving on to step 2:
61 can be fit into 68 1 times, resulting in a remainder of 7.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Subtract 61 from 68 to get 7.
Include the next digit (4) from the dividend after 7, then repeat: 74 / 61

Let's proceed to step 3:
If we divide 74 by 61, we get 1 and a remainder of 13.
Write down 1 as next digit of the result. 
Result so far: 11.0
If we subtract 61 from 74, we get 13.
Include the next digit (5) from the dividend after 13, then repeat: 135 / 61

Advancing to step 4:
61 can be fit into 135 2 times, resulting in a remainder of 13.
Put 2 as the next digit of the answer. 
Result so far: 112.0
If we subtract 122 from 135, we get 13.
Append the next digit (2) from the dividend to 13 and continue with: 132 / 61

Moving on to step 5:
If we divide 132 by 61, we get 2 and a remainder of 10.
Put 2 as the next digit of the answer. 
Result so far: 1122.0
If we take 122 away from 132, we end up with 10.
Append the next digit (1) from the dividend to 10 and continue with: 101 / 61

Step 6:
101 divided by 61 is 1 with a remainder of 40.
Record the quotient 1 as the next digit in the result. 
Result so far: 11221.0
If we take 61 away from 101, we end up with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

On to step 7:
61 can be fit into 400 6 times, resulting in a remainder of 34.
Record the quotient 6 as the next digit in the result. 
Result so far: 11221.6
Subtract 366 from 400 to get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Going ahead to step 8:
When dividing 340 by 61, we get 5 with a remainder of 35.
The number 5 becomes the next digit in our result. 
Result so far: 11221.65
Deduct 305 from 340 and we're left with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Going ahead to step 9:
61 can be fit into 350 5 times, resulting in a remainder of 45.
Write down 5 as next digit of the result. 
Result so far: 11221.655
If we subtract 305 from 350, we get 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

In conclusion, the division gives 11221.655 with a balance of 0.0045.