We're dividing 586140 by 61 
Let's see how many times 61 fits into 586140.

Moving on to step 1:
61 goes into 5 0 times with a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Bring next digit (8) of the dividend behind the 5 and repeat the process: 58 / 61

Step 2:
61 can be fit into 58 0 times, resulting in a remainder of 58.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 58 and we're left with 58.
Include the next digit (6) from the dividend after 58, then repeat: 586 / 61

Step 3:
The number 61 fits into 586 9 times, leaving a remainder of 37.
Put 9 as the next digit of the answer. 
Result so far: 9.0
Deduct 549 from 586 and we're left with 37.
Grab the next digit (1) from the dividend, add it to 37, then carry on: 371 / 61

On to step 4:
If we divide 371 by 61, we get 6 and a remainder of 5.
The number 6 becomes the next digit in our result. 
Result so far: 96.0
If we take 366 away from 371, we end up with 5.
Append the next digit (4) from the dividend to 5 and continue with: 54 / 61

Moving on to step 5:
When dividing 54 by 61, we get 0 with a remainder of 54.
Use 0 as the next digit of our solution. 
Result so far: 960.0
Subtracting 0 from 54 leaves us with 54.
Include the next digit (0) from the dividend after 54, then repeat: 540 / 61

On to step 6:
If we divide 540 by 61, we get 8 and a remainder of 52.
The next digit of our result is 8. 
Result so far: 9608.0
Deduct 488 from 540 and we're left with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Advancing to step 7:
If we divide 520 by 61, we get 8 and a remainder of 32.
Record the quotient 8 as the next digit in the result. 
Result so far: 9608.8
The remainder is 32 after subtracting 488 from 520.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

On to step 8:
61 can be fit into 320 5 times, resulting in a remainder of 15.
Write down 5 as next digit of the result. 
Result so far: 9608.85
Subtract 305 from 320 to get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Advancing to step 9:
When dividing 150 by 61, we get 2 with a remainder of 28.
Use 2 as the next digit of our solution. 
Result so far: 9608.852
The remainder is 28 after subtracting 122 from 150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Going ahead to step 10:
If we divide 280 by 61, we get 4 and a remainder of 36.
Write down 4 as next digit of the result. 
Result so far: 9608.8524
If we subtract 244 from 280, 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.

Going ahead to step 11:
360 divided by 61 is 5 with a remainder of 55.
Put 5 as the next digit of the answer. 
Result so far: 9608.85245
Subtracting 305 from 360 leaves us 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.

Going ahead to step 12:
61 can be fit into 550 9 times, resulting in a remainder of 1.
The number 9 becomes the next digit in our result. 
Result so far: 9608.852459
Subtract 549 from 550 to 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.

Step 13:
When dividing 10 by 61, we get 0 with a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 9608.852459
If we take 0 away from 10, we end up 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 14:
If we divide 100 by 61, we get 1 and a remainder of 39.
The next digit of our result is 1. 
Result so far: 9608.85245901
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.

After the division, we end up with 9608.85245901 and a remainder of 3.9e-08.