We're dividing 669585 by 61 
Let's see how many times 61 fits into 669585.

Let's proceed to step 1:
61 goes into 6 0 times with a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Append the next digit (6) from the dividend to 6 and continue with: 66 / 61

Advancing to step 2:
When dividing 66 by 61, we get 1 with a remainder of 5.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we take 61 away from 66, we end up with 5.
Take the next digit (9) from the dividend and append it to 5, then repeat: 59 / 61

Going ahead to step 3:
The number 61 fits into 59 0 times, leaving a remainder of 59.
The number 0 becomes the next digit in our result. 
Result so far: 10.0
If we take 0 away from 59, we end up with 59.
Fetch the next digit (5) from the dividend, attach it to 59 and continue: 595 / 61

Going ahead to step 4:
61 can be fit into 595 9 times, resulting in a remainder of 46.
The number 9 becomes the next digit in our result. 
Result so far: 109.0
The remainder is 46 after subtracting 549 from 595.
Bring next digit (8) of the dividend behind the 46 and repeat the process: 468 / 61

Moving on to step 5:
61 goes into 468 7 times with a remainder of 41.
The next digit of our result is 7. 
Result so far: 1097.0
The remainder is 41 after subtracting 427 from 468.
Append the next digit (5) from the dividend to 41 and continue with: 415 / 61

Let's proceed to step 6:
If we divide 415 by 61, we get 6 and a remainder of 49.
The number 6 becomes the next digit in our result. 
Result so far: 10976.0
The remainder is 49 after subtracting 366 from 415.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

Moving on to step 7:
When dividing 490 by 61, we get 8 with a remainder of 2.
The number 8 becomes the next digit in our result. 
Result so far: 10976.8
The remainder is 2 after subtracting 488 from 490.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 8:
61 can be fit into 20 0 times, resulting in a remainder of 20.
The next digit of our result is 0. 
Result so far: 10976.8
Deduct 0 from 20 and we're left 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 9:
The number 61 fits into 200 3 times, leaving a remainder of 17.
Record the quotient 3 as the next digit in the result. 
Result so far: 10976.803
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.

Let's proceed to step 10:
170 divided by 61 is 2 with a remainder of 48.
The next digit of our result is 2. 
Result so far: 10976.8032
Subtracting 122 from 170 leaves us with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Moving on to step 11:
61 goes into 480 7 times with a remainder of 53.
The number 7 becomes the next digit in our result. 
Result so far: 10976.80327
Subtract 427 from 480 to get 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

Let's proceed to step 12:
61 goes into 530 8 times with a remainder of 42.
Put 8 as the next digit of the answer. 
Result so far: 10976.803278
If we take 488 away from 530, we end up with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Let's proceed to step 13:
61 goes into 420 6 times with a remainder of 54.
Write down 6 as next digit of the result. 
Result so far: 10976.8032786
If we subtract 366 from 420, we get 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

On to step 14:
61 can be fit into 540 8 times, resulting in a remainder of 52.
Write down 8 as next digit of the result. 
Result so far: 10976.80327868
The remainder is 52 after subtracting 488 from 540.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

In conclusion, the division gives 10976.80327868 with a balance of 5.2e-08.