We divide 587758 by 61
We want to divide 587758 by 61.

Advancing to step 1:
When dividing 5 by 61, we get 0 with a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Take the next digit (8) from the dividend and append it to 5, then repeat: 58 / 61

Going ahead to step 2:
If we divide 58 by 61, we get 0 and a remainder of 58.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 58 after subtracting 0 from 58.
Bring next digit (7) of the dividend behind the 58 and repeat the process: 587 / 61

Step 3:
If we divide 587 by 61, we get 9 and a remainder of 38.
Write down 9 as next digit of the result. 
Result so far: 9.0
Subtract 549 from 587 to get 38.
Take the next digit (7) from the dividend and append it to 38, then repeat: 387 / 61

Step 4:
The number 61 fits into 387 6 times, leaving a remainder of 21.
Put 6 as the next digit of the answer. 
Result so far: 96.0
If we take 366 away from 387, we end up with 21.
Fetch the next digit (5) from the dividend, attach it to 21 and continue: 215 / 61

Let's proceed to step 5:
215 divided by 61 is 3 with a remainder of 32.
Put 3 as the next digit of the answer. 
Result so far: 963.0
Subtracting 183 from 215 leaves us with 32.
Fetch the next digit (8) from the dividend, attach it to 32 and continue: 328 / 61

Going ahead to step 6:
If we divide 328 by 61, we get 5 and a remainder of 23.
Use 5 as the next digit of our solution. 
Result so far: 9635.0
If we subtract 305 from 328, we get 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

On to step 7:
The number 61 fits into 230 3 times, leaving a remainder of 47.
Put 3 as the next digit of the answer. 
Result so far: 9635.3
Deduct 183 from 230 and we're left with 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

Advancing to step 8:
If we divide 470 by 61, we get 7 and a remainder of 43.
Write down 7 as next digit of the result. 
Result so far: 9635.37
If we subtract 427 from 470, we get 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Step 9:
If we divide 430 by 61, we get 7 and a remainder of 3.
Use 7 as the next digit of our solution. 
Result so far: 9635.377
If we subtract 427 from 430, we get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

In conclusion, the division gives 9635.377 with a balance of 0.0003.