We look at the division of 588503 by 59 
Our goal is to divide 588503 by 59.

Moving on to step 1:
If we divide 5 by 59, we get 0 and a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Include the next digit (8) from the dividend after 5, then repeat: 58 / 59

Going ahead to step 2:
If we divide 58 by 59, we get 0 and a remainder of 58.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 58 to get 58.
Fetch the next digit (8) from the dividend, attach it to 58 and continue: 588 / 59

Let's proceed to step 3:
When dividing 588 by 59, we get 9 with a remainder of 57.
The next digit of our result is 9. 
Result so far: 9.0
If we take 531 away from 588, we end up with 57.
Fetch the next digit (5) from the dividend, attach it to 57 and continue: 575 / 59

Going ahead to step 4:
When dividing 575 by 59, we get 9 with a remainder of 44.
Record the quotient 9 as the next digit in the result. 
Result so far: 99.0
If we subtract 531 from 575, we get 44.
Take the next digit (0) from the dividend and append it to 44, then repeat: 440 / 59

Let's proceed to step 5:
When dividing 440 by 59, we get 7 with a remainder of 27.
Record the quotient 7 as the next digit in the result. 
Result so far: 997.0
The remainder is 27 after subtracting 413 from 440.
Bring next digit (3) of the dividend behind the 27 and repeat the process: 273 / 59

Moving on to step 6:
When dividing 273 by 59, we get 4 with a remainder of 37.
The number 4 becomes the next digit in our result. 
Result so far: 9974.0
Subtracting 236 from 273 leaves us with 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Advancing to step 7:
59 can be fit into 370 6 times, resulting in a remainder of 16.
Use 6 as the next digit of our solution. 
Result so far: 9974.6
The remainder is 16 after subtracting 354 from 370.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Let's proceed to step 8:
If we divide 160 by 59, we get 2 and a remainder of 42.
The number 2 becomes the next digit in our result. 
Result so far: 9974.62
Subtract 118 from 160 to get 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Going ahead to step 9:
When dividing 420 by 59, we get 7 with a remainder of 7.
Put 7 as the next digit of the answer. 
Result so far: 9974.627
Subtracting 413 from 420 leaves us with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Step 10:
If we divide 70 by 59, we get 1 and a remainder of 11.
The next digit of our result is 1. 
Result so far: 9974.6271
Subtracting 59 from 70 leaves us with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

On to step 11:
The number 59 fits into 110 1 times, leaving a remainder of 51.
Put 1 as the next digit of the answer. 
Result so far: 9974.62711
Subtract 59 from 110 to get 51.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

The quotient of the division is 9974.62711, and the remainder is 5.1e-05.