We look at the division of 584416 by 61 
We're looking to find how many times 61 goes into 584416.

Going ahead to step 1:
When dividing 5 by 61, we get 0 with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Append the next digit (8) from the dividend to 5 and continue with: 58 / 61

Advancing to step 2:
61 can be fit into 58 0 times, resulting in a remainder of 58.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 58 after subtracting 0 from 58.
Append the next digit (4) from the dividend to 58 and continue with: 584 / 61

Let's proceed to step 3:
The number 61 fits into 584 9 times, leaving a remainder of 35.
Record the quotient 9 as the next digit in the result. 
Result so far: 9.0
If we subtract 549 from 584, we get 35.
Take the next digit (4) from the dividend and append it to 35, then repeat: 354 / 61

Step 4:
61 goes into 354 5 times with a remainder of 49.
The next digit of our result is 5. 
Result so far: 95.0
The remainder is 49 after subtracting 305 from 354.
Bring next digit (1) of the dividend behind the 49 and repeat the process: 491 / 61

Moving on to step 5:
61 goes into 491 8 times with a remainder of 3.
The number 8 becomes the next digit in our result. 
Result so far: 958.0
Deduct 488 from 491 and we're left with 3.
Fetch the next digit (6) from the dividend, attach it to 3 and continue: 36 / 61

On to step 6:
The number 61 fits into 36 0 times, leaving a remainder of 36.
Record the quotient 0 as the next digit in the result. 
Result so far: 9580.0
If we subtract 0 from 36, we 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.

Let's proceed to step 7:
360 divided by 61 is 5 with a remainder of 55.
Record the quotient 5 as the next digit in the result. 
Result so far: 9580.5
If we subtract 305 from 360, we get 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Going ahead to step 8:
61 can be fit into 550 9 times, resulting in a remainder of 1.
Record the quotient 9 as the next digit in the result. 
Result so far: 9580.59
If we subtract 549 from 550, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 9:
The number 61 fits into 10 0 times, leaving a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 9580.59
Subtracting 0 from 10 leaves us 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.

Going ahead to step 10:
The number 61 fits into 100 1 times, leaving a remainder of 39.
Use 1 as the next digit of our solution. 
Result so far: 9580.5901
If we subtract 61 from 100, we get 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Moving on to step 11:
390 divided by 61 is 6 with a remainder of 24.
The next digit of our result is 6. 
Result so far: 9580.59016
Subtracting 366 from 390 leaves us with 24.
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 12:
The number 61 fits into 240 3 times, leaving a remainder of 57.
The next digit of our result is 3. 
Result so far: 9580.590163
Subtract 183 from 240 to get 57.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

Let's proceed to step 13:
The number 61 fits into 570 9 times, leaving a remainder of 21.
The number 9 becomes the next digit in our result. 
Result so far: 9580.5901639
Subtracting 549 from 570 leaves us 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.

Let's proceed to step 14:
When dividing 210 by 61, we get 3 with a remainder of 27.
Use 3 as the next digit of our solution. 
Result so far: 9580.59016393
Subtract 183 from 210 to get 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

The final result is 9580.59016393 with a remainder of 2.7e-08.