We look at the division of 585506 by 61 
Let's see how many times 61 fits into 585506.

Step 1:
When dividing 5 by 61, we get 0 with a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Bring next digit (8) of the dividend behind the 5 and repeat the process: 58 / 61

Advancing to step 2:
61 goes into 58 0 times with a remainder of 58.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 58 after subtracting 0 from 58.
Take the next digit (5) from the dividend and append it to 58, then repeat: 585 / 61

Going ahead to step 3:
The number 61 fits into 585 9 times, leaving a remainder of 36.
The next digit of our result is 9. 
Result so far: 9.0
If we take 549 away from 585, we end up with 36.
Append the next digit (5) from the dividend to 36 and continue with: 365 / 61

Going ahead to step 4:
If we divide 365 by 61, we get 5 and a remainder of 60.
Record the quotient 5 as the next digit in the result. 
Result so far: 95.0
If we subtract 305 from 365, we get 60.
Fetch the next digit (0) from the dividend, attach it to 60 and continue: 600 / 61

Step 5:
61 can be fit into 600 9 times, resulting in a remainder of 51.
Use 9 as the next digit of our solution. 
Result so far: 959.0
If we take 549 away from 600, we end up with 51.
Append the next digit (6) from the dividend to 51 and continue with: 516 / 61

Let's proceed to step 6:
61 can be fit into 516 8 times, resulting in a remainder of 28.
The number 8 becomes the next digit in our result. 
Result so far: 9598.0
Subtracting 488 from 516 leaves us with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Step 7:
61 goes into 280 4 times with a remainder of 36.
Put 4 as the next digit of the answer. 
Result so far: 9598.4
Subtract 244 from 280 to get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Moving on to step 8:
The number 61 fits into 360 5 times, leaving a remainder of 55.
Use 5 as the next digit of our solution. 
Result so far: 9598.45
Deduct 305 from 360 and we're left with 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Advancing to step 9:
If we divide 550 by 61, we get 9 and a remainder of 1.
Put 9 as the next digit of the answer. 
Result so far: 9598.459
Subtracting 549 from 550 leaves us with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 10:
If we divide 10 by 61, we get 0 and a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 9598.459
Deduct 0 from 10 and we're left 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 11:
When dividing 100 by 61, we get 1 with a remainder of 39.
Put 1 as the next digit of the answer. 
Result so far: 9598.45901
The remainder is 39 after subtracting 61 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Step 12:
61 goes into 390 6 times with a remainder of 24.
The number 6 becomes the next digit in our result. 
Result so far: 9598.459016
The remainder is 24 after subtracting 366 from 390.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Moving on to step 13:
The number 61 fits into 240 3 times, leaving a remainder of 57.
The next digit of our result is 3. 
Result so far: 9598.4590163
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.

Moving on to step 14:
61 goes into 570 9 times with a remainder of 21.
Put 9 as the next digit of the answer. 
Result so far: 9598.45901639
Deduct 549 from 570 and we're left 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.

After the division, we end up with 9598.45901639 and a remainder of 2.1e-08.