We look at the division of 277566 by 61 
We want to divide 277566 by 61.

Step 1:
If we divide 2 by 61, we get 0 and a remainder of 2.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 2 after subtracting 0 from 2.
Grab the next digit (7) from the dividend, add it to 2, then carry on: 27 / 61

On to step 2:
If we divide 27 by 61, we get 0 and a remainder of 27.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 27, we end up with 27.
Fetch the next digit (7) from the dividend, attach it to 27 and continue: 277 / 61

Let's proceed to step 3:
61 can be fit into 277 4 times, resulting in a remainder of 33.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
If we subtract 244 from 277, we get 33.
Include the next digit (5) from the dividend after 33, then repeat: 335 / 61

Going ahead to step 4:
61 goes into 335 5 times with a remainder of 30.
Put 5 as the next digit of the answer. 
Result so far: 45.0
The remainder is 30 after subtracting 305 from 335.
Take the next digit (6) from the dividend and append it to 30, then repeat: 306 / 61

Going ahead to step 5:
306 divided by 61 is 5 with a remainder of 1.
Put 5 as the next digit of the answer. 
Result so far: 455.0
If we subtract 305 from 306, we get 1.
Include the next digit (6) from the dividend after 1, then repeat: 16 / 61

Advancing to step 6:
61 goes into 16 0 times with a remainder of 16.
Use 0 as the next digit of our solution. 
Result so far: 4550.0
Subtracting 0 from 16 leaves us 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.

Advancing to step 7:
160 divided by 61 is 2 with a remainder of 38.
The number 2 becomes the next digit in our result. 
Result so far: 4550.2
Deduct 122 from 160 and we're left with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Moving on to step 8:
The number 61 fits into 380 6 times, leaving a remainder of 14.
Record the quotient 6 as the next digit in the result. 
Result so far: 4550.26
The remainder is 14 after subtracting 366 from 380.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Step 9:
61 goes into 140 2 times with a remainder of 18.
Record the quotient 2 as the next digit in the result. 
Result so far: 4550.262
Subtract 122 from 140 to get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Step 10:
180 divided by 61 is 2 with a remainder of 58.
Record the quotient 2 as the next digit in the result. 
Result so far: 4550.2622
If we take 122 away from 180, we end up with 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

In conclusion, the division gives 4550.2622 with a balance of 0.00058.