We're dividing 608631 by 61 
Let's see how many times 61 fits into 608631.

Step 1:
The number 61 fits into 6 0 times, leaving a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Take the next digit (0) from the dividend and append it to 6, then repeat: 60 / 61

Going ahead to step 2:
If we divide 60 by 61, we get 0 and a remainder of 60.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 60, we end up with 60.
Fetch the next digit (8) from the dividend, attach it to 60 and continue: 608 / 61

On to step 3:
608 divided by 61 is 9 with a remainder of 59.
Put 9 as the next digit of the answer. 
Result so far: 9.0
If we take 549 away from 608, we end up with 59.
Take the next digit (6) from the dividend and append it to 59, then repeat: 596 / 61

Going ahead to step 4:
61 goes into 596 9 times with a remainder of 47.
Record the quotient 9 as the next digit in the result. 
Result so far: 99.0
Subtracting 549 from 596 leaves us with 47.
Grab the next digit (3) from the dividend, add it to 47, then carry on: 473 / 61

Going ahead to step 5:
61 can be fit into 473 7 times, resulting in a remainder of 46.
Put 7 as the next digit of the answer. 
Result so far: 997.0
Subtract 427 from 473 to get 46.
Take the next digit (1) from the dividend and append it to 46, then repeat: 461 / 61

Step 6:
461 divided by 61 is 7 with a remainder of 34.
Put 7 as the next digit of the answer. 
Result so far: 9977.0
Deduct 427 from 461 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.

Moving on to step 7:
61 goes into 340 5 times with a remainder of 35.
Use 5 as the next digit of our solution. 
Result so far: 9977.5
The remainder is 35 after subtracting 305 from 340.
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 8:
61 can be fit into 350 5 times, resulting in a remainder of 45.
Write down 5 as next digit of the result. 
Result so far: 9977.55
If we take 305 away from 350, we end up 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 9977.55 with a balance of 0.045.