We're dividing 596537 by 61 
We want to figure out the number of times 596537 can be divided by 61.

Let's proceed to step 1:
5 divided by 61 is 0 with a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Include the next digit (9) from the dividend after 5, then repeat: 59 / 61

Moving on to step 2:
59 divided by 61 is 0 with a remainder of 59.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 59 leaves us with 59.
Append the next digit (6) from the dividend to 59 and continue with: 596 / 61

On to step 3:
596 divided by 61 is 9 with a remainder of 47.
Record the quotient 9 as the next digit in the result. 
Result so far: 9.0
If we take 549 away from 596, we end up with 47.
Take the next digit (5) from the dividend and append it to 47, then repeat: 475 / 61

Let's proceed to step 4:
When dividing 475 by 61, we get 7 with a remainder of 48.
Write down 7 as next digit of the result. 
Result so far: 97.0
Subtract 427 from 475 to get 48.
Take the next digit (3) from the dividend and append it to 48, then repeat: 483 / 61

Moving on to step 5:
61 can be fit into 483 7 times, resulting in a remainder of 56.
Write down 7 as next digit of the result. 
Result so far: 977.0
The remainder is 56 after subtracting 427 from 483.
Bring next digit (7) of the dividend behind the 56 and repeat the process: 567 / 61

Let's proceed to step 6:
567 divided by 61 is 9 with a remainder of 18.
The number 9 becomes the next digit in our result. 
Result so far: 9779.0
The remainder is 18 after subtracting 549 from 567.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Let's proceed to step 7:
61 can be fit into 180 2 times, resulting in a remainder of 58.
Put 2 as the next digit of the answer. 
Result so far: 9779.2
If we take 122 away from 180, we end up with 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Advancing to step 8:
If we divide 580 by 61, we get 9 and a remainder of 31.
Put 9 as the next digit of the answer. 
Result so far: 9779.29
Subtracting 549 from 580 leaves us with 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Moving on to step 9:
The number 61 fits into 310 5 times, leaving a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 9779.295
The remainder is 5 after subtracting 305 from 310.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 10:
If we divide 50 by 61, we get 0 and a remainder of 50.
Record the quotient 0 as the next digit in the result. 
Result so far: 9779.295
If we subtract 0 from 50, we get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Moving on to step 11:
61 can be fit into 500 8 times, resulting in a remainder of 12.
Write down 8 as next digit of the result. 
Result so far: 9779.29508
If we subtract 488 from 500, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

On to step 12:
When dividing 120 by 61, we get 1 with a remainder of 59.
Use 1 as the next digit of our solution. 
Result so far: 9779.295081
If we subtract 61 from 120, we get 59.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

Let's proceed to step 13:
The number 61 fits into 590 9 times, leaving a remainder of 41.
Record the quotient 9 as the next digit in the result. 
Result so far: 9779.2950819
The remainder is 41 after subtracting 549 from 590.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Step 14:
61 can be fit into 410 6 times, resulting in a remainder of 44.
Record the quotient 6 as the next digit in the result. 
Result so far: 9779.29508196
Subtracting 366 from 410 leaves us with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

In conclusion, the division gives 9779.29508196 with a balance of 4.4e-08.