665590 ÷ 61 
Let's see how many times 61 fits into 665590.

Going ahead to step 1:
6 divided by 61 is 0 with a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Append the next digit (6) from the dividend to 6 and continue with: 66 / 61

Let's proceed to step 2:
61 can be fit into 66 1 times, resulting in a remainder of 5.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Subtracting 61 from 66 leaves us with 5.
Grab the next digit (5) from the dividend, add it to 5, then carry on: 55 / 61

Let's proceed to step 3:
When dividing 55 by 61, we get 0 with a remainder of 55.
Record the quotient 0 as the next digit in the result. 
Result so far: 10.0
Subtracting 0 from 55 leaves us with 55.
Fetch the next digit (5) from the dividend, attach it to 55 and continue: 555 / 61

On to step 4:
When dividing 555 by 61, we get 9 with a remainder of 6.
Use 9 as the next digit of our solution. 
Result so far: 109.0
The remainder is 6 after subtracting 549 from 555.
Grab the next digit (9) from the dividend, add it to 6, then carry on: 69 / 61

Going ahead to step 5:
If we divide 69 by 61, we get 1 and a remainder of 8.
The number 1 becomes the next digit in our result. 
Result so far: 1091.0
Deduct 61 from 69 and we're left with 8.
Grab the next digit (0) from the dividend, add it to 8, then carry on: 80 / 61

Step 6:
61 can be fit into 80 1 times, resulting in a remainder of 19.
Put 1 as the next digit of the answer. 
Result so far: 10911.0
The remainder is 19 after subtracting 61 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Going ahead to step 7:
190 divided by 61 is 3 with a remainder of 7.
The next digit of our result is 3. 
Result so far: 10911.3
Subtracting 183 from 190 leaves us with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Step 8:
If we divide 70 by 61, we get 1 and a remainder of 9.
Record the quotient 1 as the next digit in the result. 
Result so far: 10911.31
Deduct 61 from 70 and we're left with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Going ahead to step 9:
The number 61 fits into 90 1 times, leaving a remainder of 29.
The number 1 becomes the next digit in our result. 
Result so far: 10911.311
Subtracting 61 from 90 leaves us 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.

In conclusion, the division gives 10911.311 with a balance of 0.0029.