We divide 582003 by 59
We want to figure out the number of times 582003 can be divided by 59.

Step 1:
59 goes into 5 0 times with a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Include the next digit (8) from the dividend after 5, then repeat: 58 / 59

Advancing to step 2:
The number 59 fits into 58 0 times, leaving a remainder of 58.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 58, we get 58.
Fetch the next digit (2) from the dividend, attach it to 58 and continue: 582 / 59

On to step 3:
59 can be fit into 582 9 times, resulting in a remainder of 51.
The next digit of our result is 9. 
Result so far: 9.0
If we take 531 away from 582, we end up with 51.
Take the next digit (0) from the dividend and append it to 51, then repeat: 510 / 59

Going ahead to step 4:
When dividing 510 by 59, we get 8 with a remainder of 38.
The number 8 becomes the next digit in our result. 
Result so far: 98.0
The remainder is 38 after subtracting 472 from 510.
Fetch the next digit (0) from the dividend, attach it to 38 and continue: 380 / 59

Step 5:
The number 59 fits into 380 6 times, leaving a remainder of 26.
Use 6 as the next digit of our solution. 
Result so far: 986.0
Subtract 354 from 380 to get 26.
Append the next digit (3) from the dividend to 26 and continue with: 263 / 59

Step 6:
If we divide 263 by 59, we get 4 and a remainder of 27.
Use 4 as the next digit of our solution. 
Result so far: 9864.0
If we take 236 away from 263, we end up with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Let's proceed to step 7:
When dividing 270 by 59, we get 4 with a remainder of 34.
The number 4 becomes the next digit in our result. 
Result so far: 9864.4
If we subtract 236 from 270, we get 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 8:
59 can be fit into 340 5 times, resulting in a remainder of 45.
Put 5 as the next digit of the answer. 
Result so far: 9864.45
Subtracting 295 from 340 leaves us 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.

Going ahead to step 9:
59 goes into 450 7 times with a remainder of 37.
Use 7 as the next digit of our solution. 
Result so far: 9864.457
Deduct 413 from 450 and we're left 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.

Let's proceed to step 10:
The number 59 fits into 370 6 times, leaving a remainder of 16.
Use 6 as the next digit of our solution. 
Result so far: 9864.4576
If we take 354 away from 370, we end up with 16.
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 11:
When dividing 160 by 59, we get 2 with a remainder of 42.
Record the quotient 2 as the next digit in the result. 
Result so far: 9864.45762
If we subtract 118 from 160, we 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 12:
The number 59 fits into 420 7 times, leaving a remainder of 7.
Record the quotient 7 as the next digit in the result. 
Result so far: 9864.457627
If we take 413 away from 420, we end up 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.

Advancing to step 13:
If we divide 70 by 59, we get 1 and a remainder of 11.
The number 1 becomes the next digit in our result. 
Result so far: 9864.4576271
The remainder is 11 after subtracting 59 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Going ahead to step 14:
59 can be fit into 110 1 times, resulting in a remainder of 51.
The number 1 becomes the next digit in our result. 
Result so far: 9864.45762711
Deduct 59 from 110 and we're left with 51.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

Our division results in 9864.45762711 with a remaining 5.1e-08.