We divide 581723 by 61
We're looking to find how many times 61 goes into 581723.

Going ahead to step 1:
5 divided by 61 is 0 with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Include the next digit (8) from the dividend after 5, then repeat: 58 / 61

Going ahead to step 2:
61 can be fit into 58 0 times, resulting in a remainder of 58.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 58, we get 58.
Bring next digit (1) of the dividend behind the 58 and repeat the process: 581 / 61

Let's proceed to step 3:
581 divided by 61 is 9 with a remainder of 32.
The next digit of our result is 9. 
Result so far: 9.0
Deduct 549 from 581 and we're left with 32.
Take the next digit (7) from the dividend and append it to 32, then repeat: 327 / 61

Moving on to step 4:
If we divide 327 by 61, we get 5 and a remainder of 22.
Use 5 as the next digit of our solution. 
Result so far: 95.0
Subtract 305 from 327 to get 22.
Take the next digit (2) from the dividend and append it to 22, then repeat: 222 / 61

Let's proceed to step 5:
If we divide 222 by 61, we get 3 and a remainder of 39.
Write down 3 as next digit of the result. 
Result so far: 953.0
Subtracting 183 from 222 leaves us with 39.
Grab the next digit (3) from the dividend, add it to 39, then carry on: 393 / 61

Moving on to step 6:
When dividing 393 by 61, we get 6 with a remainder of 27.
Use 6 as the next digit of our solution. 
Result so far: 9536.0
If we take 366 away from 393, we end up 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.

Advancing to step 7:
270 divided by 61 is 4 with a remainder of 26.
Use 4 as the next digit of our solution. 
Result so far: 9536.4
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.

Let's proceed to step 8:
61 goes into 260 4 times with a remainder of 16.
Record the quotient 4 as the next digit in the result. 
Result so far: 9536.44
If we subtract 244 from 260, we get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

After the division, we end up with 9536.44 and a remainder of 0.016.