We look at the division of 502983 by 59 
Our goal is to divide 502983 by 59.

On to step 1:
The number 59 fits into 5 0 times, leaving a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Fetch the next digit (0) from the dividend, attach it to 5 and continue: 50 / 59

Moving on to step 2:
If we divide 50 by 59, we get 0 and a remainder of 50.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 50, we get 50.
Include the next digit (2) from the dividend after 50, then repeat: 502 / 59

Advancing to step 3:
502 divided by 59 is 8 with a remainder of 30.
Put 8 as the next digit of the answer. 
Result so far: 8.0
Subtract 472 from 502 to get 30.
Bring next digit (9) of the dividend behind the 30 and repeat the process: 309 / 59

Moving on to step 4:
59 goes into 309 5 times with a remainder of 14.
Use 5 as the next digit of our solution. 
Result so far: 85.0
The remainder is 14 after subtracting 295 from 309.
Include the next digit (8) from the dividend after 14, then repeat: 148 / 59

Moving on to step 5:
59 can be fit into 148 2 times, resulting in a remainder of 30.
Use 2 as the next digit of our solution. 
Result so far: 852.0
Subtracting 118 from 148 leaves us with 30.
Append the next digit (3) from the dividend to 30 and continue with: 303 / 59

Step 6:
59 can be fit into 303 5 times, resulting in a remainder of 8.
Use 5 as the next digit of our solution. 
Result so far: 8525.0
If we subtract 295 from 303, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 7:
59 goes into 80 1 times with a remainder of 21.
Put 1 as the next digit of the answer. 
Result so far: 8525.1
Deduct 59 from 80 and we're left with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Step 8:
210 divided by 59 is 3 with a remainder of 33.
Put 3 as the next digit of the answer. 
Result so far: 8525.13
The remainder is 33 after subtracting 177 from 210.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Step 9:
330 divided by 59 is 5 with a remainder of 35.
The number 5 becomes the next digit in our result. 
Result so far: 8525.135
Subtracting 295 from 330 leaves us 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.

Step 10:
The number 59 fits into 350 5 times, leaving a remainder of 55.
Write down 5 as next digit of the result. 
Result so far: 8525.1355
Subtract 295 from 350 to get 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

The quotient of the division is 8525.1355, and the remainder is 0.00055.