We look at the division of 597650 by 59 
We want to divide 597650 by 59.

Step 1:
If we divide 5 by 59, we get 0 and a remainder of 5.
Use 0 as the next digit of our solution. 
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 / 59

Advancing to step 2:
The number 59 fits into 59 1 times, leaving a remainder of 0.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
The remainder is 0 after subtracting 59 from 59.
Fetch the next digit (7) from the dividend, attach it to 0 and continue: 7 / 59

Going ahead to step 3:
59 can be fit into 7 0 times, resulting in a remainder of 7.
Write down 0 as next digit of the result. 
Result so far: 10.0
Subtract 0 from 7 to get 7.
Include the next digit (6) from the dividend after 7, then repeat: 76 / 59

Going ahead to step 4:
76 divided by 59 is 1 with a remainder of 17.
Write down 1 as next digit of the result. 
Result so far: 101.0
If we take 59 away from 76, we end up with 17.
Include the next digit (5) from the dividend after 17, then repeat: 175 / 59

On to step 5:
175 divided by 59 is 2 with a remainder of 57.
Put 2 as the next digit of the answer. 
Result so far: 1012.0
The remainder is 57 after subtracting 118 from 175.
Bring next digit (0) of the dividend behind the 57 and repeat the process: 570 / 59

Moving on to step 6:
59 goes into 570 9 times with a remainder of 39.
Record the quotient 9 as the next digit in the result. 
Result so far: 10129.0
Deduct 531 from 570 and we're left with 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Let's proceed to step 7:
If we divide 390 by 59, we get 6 and a remainder of 36.
Use 6 as the next digit of our solution. 
Result so far: 10129.6
If we subtract 354 from 390, we get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Going ahead to step 8:
360 divided by 59 is 6 with a remainder of 6.
Write down 6 as next digit of the result. 
Result so far: 10129.66
Subtract 354 from 360 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

The final outcome is 10129.66, with a leftover of 0.006.