Let's divide 598902 by 61
We're looking to find how many times 61 goes into 598902.

Advancing to step 1:
61 can be fit into 5 0 times, resulting in a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Fetch the next digit (9) from the dividend, attach it to 5 and continue: 59 / 61

Going ahead to step 2:
59 divided by 61 is 0 with a remainder of 59.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 59 after subtracting 0 from 59.
Include the next digit (8) from the dividend after 59, then repeat: 598 / 61

Step 3:
61 can be fit into 598 9 times, resulting in a remainder of 49.
Write down 9 as next digit of the result. 
Result so far: 9.0
Deduct 549 from 598 and we're left with 49.
Fetch the next digit (9) from the dividend, attach it to 49 and continue: 499 / 61

Advancing to step 4:
61 can be fit into 499 8 times, resulting in a remainder of 11.
Write down 8 as next digit of the result. 
Result so far: 98.0
If we subtract 488 from 499, we get 11.
Append the next digit (0) from the dividend to 11 and continue with: 110 / 61

Advancing to step 5:
When dividing 110 by 61, we get 1 with a remainder of 49.
The next digit of our result is 1. 
Result so far: 981.0
If we take 61 away from 110, we end up with 49.
Grab the next digit (2) from the dividend, add it to 49, then carry on: 492 / 61

Let's proceed to step 6:
The number 61 fits into 492 8 times, leaving a remainder of 4.
The number 8 becomes the next digit in our result. 
Result so far: 9818.0
Subtracting 488 from 492 leaves us 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.

Let's proceed to step 7:
The number 61 fits into 40 0 times, leaving a remainder of 40.
The next digit of our result is 0. 
Result so far: 9818.0
If we subtract 0 from 40, we get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Moving on to step 8:
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: 9818.06
Subtracting 366 from 400 leaves us 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 9:
When dividing 340 by 61, we get 5 with a remainder of 35.
Put 5 as the next digit of the answer. 
Result so far: 9818.065
If we take 305 away from 340, we end up with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Moving on to step 10:
61 goes into 350 5 times with a remainder of 45.
Use 5 as the next digit of our solution. 
Result so far: 9818.0655
Deduct 305 from 350 and we're left 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 9818.0655 with a balance of 0.00045.