577177 ÷ 61 
Our goal is to divide 577177 by 61.

Let's proceed to step 1:
The number 61 fits into 5 0 times, leaving a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Fetch the next digit (7) from the dividend, attach it to 5 and continue: 57 / 61

Step 2:
61 can be fit into 57 0 times, resulting in a remainder of 57.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 57 leaves us with 57.
Fetch the next digit (7) from the dividend, attach it to 57 and continue: 577 / 61

Advancing to step 3:
61 goes into 577 9 times with a remainder of 28.
Put 9 as the next digit of the answer. 
Result so far: 9.0
Deduct 549 from 577 and we're left with 28.
Take the next digit (1) from the dividend and append it to 28, then repeat: 281 / 61

Step 4:
61 can be fit into 281 4 times, resulting in a remainder of 37.
The next digit of our result is 4. 
Result so far: 94.0
If we subtract 244 from 281, we get 37.
Grab the next digit (7) from the dividend, add it to 37, then carry on: 377 / 61

On to step 5:
377 divided by 61 is 6 with a remainder of 11.
Write down 6 as next digit of the result. 
Result so far: 946.0
The remainder is 11 after subtracting 366 from 377.
Append the next digit (7) from the dividend to 11 and continue with: 117 / 61

Let's proceed to step 6:
The number 61 fits into 117 1 times, leaving a remainder of 56.
Record the quotient 1 as the next digit in the result. 
Result so far: 9461.0
The remainder is 56 after subtracting 61 from 117.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Moving on to step 7:
61 can be fit into 560 9 times, resulting in a remainder of 11.
Record the quotient 9 as the next digit in the result. 
Result so far: 9461.9
If we subtract 549 from 560, we get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

On to step 8:
110 divided by 61 is 1 with a remainder of 49.
The next digit of our result is 1. 
Result so far: 9461.91
Deduct 61 from 110 and we're left with 49.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

Let's proceed to step 9:
61 goes into 490 8 times with a remainder of 2.
Write down 8 as next digit of the result. 
Result so far: 9461.918
If we take 488 away from 490, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 10:
20 divided by 61 is 0 with a remainder of 20.
Use 0 as the next digit of our solution. 
Result so far: 9461.918
If we take 0 away from 20, we end up with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 11:
The number 61 fits into 200 3 times, leaving a remainder of 17.
The next digit of our result is 3. 
Result so far: 9461.91803
Deduct 183 from 200 and we're left with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Going ahead to step 12:
170 divided by 61 is 2 with a remainder of 48.
Record the quotient 2 as the next digit in the result. 
Result so far: 9461.918032
The remainder is 48 after subtracting 122 from 170.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Moving on to step 13:
61 can be fit into 480 7 times, resulting in a remainder of 53.
Write down 7 as next digit of the result. 
Result so far: 9461.9180327
Subtracting 427 from 480 leaves us with 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

Step 14:
61 goes into 530 8 times with a remainder of 42.
Record the quotient 8 as the next digit in the result. 
Result so far: 9461.91803278
Subtract 488 from 530 to get 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

The final result is 9461.91803278 with a remainder of 4.2e-08.