We divide 659310 by 61
Our goal is to divide 659310 by 61.

Advancing to step 1:
61 can be fit into 6 0 times, resulting in a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Append the next digit (5) from the dividend to 6 and continue with: 65 / 61

Let's proceed to step 2:
The number 61 fits into 65 1 times, leaving a remainder of 4.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtract 61 from 65 to get 4.
Fetch the next digit (9) from the dividend, attach it to 4 and continue: 49 / 61

Advancing to step 3:
When dividing 49 by 61, we get 0 with a remainder of 49.
The number 0 becomes the next digit in our result. 
Result so far: 10.0
If we subtract 0 from 49, we get 49.
Fetch the next digit (3) from the dividend, attach it to 49 and continue: 493 / 61

Moving on to step 4:
493 divided by 61 is 8 with a remainder of 5.
Write down 8 as next digit of the result. 
Result so far: 108.0
Subtract 488 from 493 to get 5.
Include the next digit (1) from the dividend after 5, then repeat: 51 / 61

Advancing to step 5:
When dividing 51 by 61, we get 0 with a remainder of 51.
The next digit of our result is 0. 
Result so far: 1080.0
The remainder is 51 after subtracting 0 from 51.
Include the next digit (0) from the dividend after 51, then repeat: 510 / 61

Step 6:
510 divided by 61 is 8 with a remainder of 22.
The number 8 becomes the next digit in our result. 
Result so far: 10808.0
If we subtract 488 from 510, we 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.

On to step 7:
61 goes into 220 3 times with a remainder of 37.
Write down 3 as next digit of the result. 
Result so far: 10808.3
If we take 183 away from 220, we end up 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.

Going ahead to step 8:
When dividing 370 by 61, we get 6 with a remainder of 4.
The number 6 becomes the next digit in our result. 
Result so far: 10808.36
Deduct 366 from 370 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 9:
The number 61 fits into 40 0 times, leaving a remainder of 40.
Write down 0 as next digit of the result. 
Result so far: 10808.36
Deduct 0 from 40 and we're left with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Let's proceed to step 10:
When dividing 400 by 61, we get 6 with a remainder of 34.
Use 6 as the next digit of our solution. 
Result so far: 10808.3606
Deduct 366 from 400 and we're left with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Advancing to step 11:
61 can be fit into 340 5 times, resulting in a remainder of 35.
The number 5 becomes the next digit in our result. 
Result so far: 10808.36065
If we subtract 305 from 340, we get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Let's proceed to step 12:
61 goes into 350 5 times with a remainder of 45.
Put 5 as the next digit of the answer. 
Result so far: 10808.360655
Subtracting 305 from 350 leaves us with 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

In conclusion, the division gives 10808.360655 with a balance of 4.5e-06.