We're dividing 609663 by 61 
We want to figure out the number of times 609663 can be divided by 61.

Going ahead to step 1:
When dividing 6 by 61, we get 0 with a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Grab the next digit (0) from the dividend, add it to 6, then carry on: 60 / 61

Moving on to step 2:
When dividing 60 by 61, we get 0 with a remainder of 60.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 60 leaves us with 60.
Append the next digit (9) from the dividend to 60 and continue with: 609 / 61

Let's proceed to step 3:
The number 61 fits into 609 9 times, leaving a remainder of 60.
Put 9 as the next digit of the answer. 
Result so far: 9.0
Deduct 549 from 609 and we're left with 60.
Append the next digit (6) from the dividend to 60 and continue with: 606 / 61

On to step 4:
61 can be fit into 606 9 times, resulting in a remainder of 57.
The next digit of our result is 9. 
Result so far: 99.0
Subtracting 549 from 606 leaves us with 57.
Append the next digit (6) from the dividend to 57 and continue with: 576 / 61

Going ahead to step 5:
576 divided by 61 is 9 with a remainder of 27.
The next digit of our result is 9. 
Result so far: 999.0
Deduct 549 from 576 and we're left with 27.
Include the next digit (3) from the dividend after 27, then repeat: 273 / 61

Advancing to step 6:
61 goes into 273 4 times with a remainder of 29.
Record the quotient 4 as the next digit in the result. 
Result so far: 9994.0
Deduct 244 from 273 and we're left with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Step 7:
290 divided by 61 is 4 with a remainder of 46.
Put 4 as the next digit of the answer. 
Result so far: 9994.4
Subtracting 244 from 290 leaves us with 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Step 8:
The number 61 fits into 460 7 times, leaving a remainder of 33.
Write down 7 as next digit of the result. 
Result so far: 9994.47
Subtracting 427 from 460 leaves us with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Let's proceed to step 9:
330 divided by 61 is 5 with a remainder of 25.
The next digit of our result is 5. 
Result so far: 9994.475
The remainder is 25 after subtracting 305 from 330.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Let's proceed to step 10:
61 goes into 250 4 times with a remainder of 6.
The number 4 becomes the next digit in our result. 
Result so far: 9994.4754
Subtracting 244 from 250 leaves us with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 11:
If we divide 60 by 61, we get 0 and a remainder of 60.
Write down 0 as next digit of the result. 
Result so far: 9994.4754
If we take 0 away from 60, we end up with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Advancing to step 12:
The number 61 fits into 600 9 times, leaving a remainder of 51.
Record the quotient 9 as the next digit in the result. 
Result so far: 9994.475409
Subtract 549 from 600 to get 51.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

On to step 13:
61 goes into 510 8 times with a remainder of 22.
Use 8 as the next digit of our solution. 
Result so far: 9994.4754098
Subtract 488 from 510 to get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Going ahead to step 14:
61 goes into 220 3 times with a remainder of 37.
Record the quotient 3 as the next digit in the result. 
Result so far: 9994.47540983
Deduct 183 from 220 and we're left with 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

The final outcome is 9994.47540983, with a leftover of 3.7e-08.