We're dividing 660599 by 61 
We're looking to find how many times 61 goes into 660599.

Step 1:
6 divided by 61 is 0 with a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Fetch the next digit (6) from the dividend, attach it to 6 and continue: 66 / 61

Moving on to step 2:
If we divide 66 by 61, we get 1 and a remainder of 5.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we subtract 61 from 66, we get 5.
Fetch the next digit (0) from the dividend, attach it to 5 and continue: 50 / 61

Step 3:
50 divided by 61 is 0 with a remainder of 50.
Record the quotient 0 as the next digit in the result. 
Result so far: 10.0
Deduct 0 from 50 and we're left with 50.
Grab the next digit (5) from the dividend, add it to 50, then carry on: 505 / 61

Going ahead to step 4:
61 goes into 505 8 times with a remainder of 17.
The next digit of our result is 8. 
Result so far: 108.0
If we take 488 away from 505, we end up with 17.
Take the next digit (9) from the dividend and append it to 17, then repeat: 179 / 61

Advancing to step 5:
61 goes into 179 2 times with a remainder of 57.
The next digit of our result is 2. 
Result so far: 1082.0
Subtracting 122 from 179 leaves us with 57.
Grab the next digit (9) from the dividend, add it to 57, then carry on: 579 / 61

On to step 6:
579 divided by 61 is 9 with a remainder of 30.
The number 9 becomes the next digit in our result. 
Result so far: 10829.0
Subtracting 549 from 579 leaves us with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Let's proceed to step 7:
When dividing 300 by 61, we get 4 with a remainder of 56.
Write down 4 as next digit of the result. 
Result so far: 10829.4
If we take 244 away from 300, we end up with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Going ahead to step 8:
560 divided by 61 is 9 with a remainder of 11.
The next digit of our result is 9. 
Result so far: 10829.49
Subtract 549 from 560 to 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.

Step 9:
When dividing 110 by 61, we get 1 with a remainder of 49.
Record the quotient 1 as the next digit in the result. 
Result so far: 10829.491
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.

On to step 10:
The number 61 fits into 490 8 times, leaving a remainder of 2.
The next digit of our result is 8. 
Result so far: 10829.4918
Subtract 488 from 490 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 11:
61 can be fit into 20 0 times, resulting in a remainder of 20.
The number 0 becomes the next digit in our result. 
Result so far: 10829.4918
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.

Moving on to step 12:
61 can be fit into 200 3 times, resulting in a remainder of 17.
Put 3 as the next digit of the answer. 
Result so far: 10829.491803
Subtract 183 from 200 to get 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

On to step 13:
61 can be fit into 170 2 times, resulting in a remainder of 48.
Put 2 as the next digit of the answer. 
Result so far: 10829.4918032
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.

Let's proceed to step 14:
If we divide 480 by 61, we get 7 and a remainder of 53.
Put 7 as the next digit of the answer. 
Result so far: 10829.49180327
If we take 427 away from 480, we end up 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.

After the division, we end up with 10829.49180327 and a remainder of 5.3e-08.