We look at the division of 510034 by 59 
We're looking to find how many times 59 goes into 510034.

Advancing to step 1:
59 can be fit into 5 0 times, resulting in a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Grab the next digit (1) from the dividend, add it to 5, then carry on: 51 / 59

Moving on to step 2:
If we divide 51 by 59, we get 0 and a remainder of 51.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 51 and we're left with 51.
Take the next digit (0) from the dividend and append it to 51, then repeat: 510 / 59

Going ahead to step 3:
59 can be fit into 510 8 times, resulting in a remainder of 38.
Put 8 as the next digit of the answer. 
Result so far: 8.0
Subtracting 472 from 510 leaves us with 38.
Include the next digit (0) from the dividend after 38, then repeat: 380 / 59

Going ahead to step 4:
380 divided by 59 is 6 with a remainder of 26.
Use 6 as the next digit of our solution. 
Result so far: 86.0
The remainder is 26 after subtracting 354 from 380.
Include the next digit (3) from the dividend after 26, then repeat: 263 / 59

Advancing to step 5:
59 can be fit into 263 4 times, resulting in a remainder of 27.
The next digit of our result is 4. 
Result so far: 864.0
Deduct 236 from 263 and we're left with 27.
Append the next digit (4) from the dividend to 27 and continue with: 274 / 59

Advancing to step 6:
59 can be fit into 274 4 times, resulting in a remainder of 38.
Record the quotient 4 as the next digit in the result. 
Result so far: 8644.0
If we subtract 236 from 274, we get 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Advancing to step 7:
59 goes into 380 6 times with a remainder of 26.
Use 6 as the next digit of our solution. 
Result so far: 8644.6
Subtract 354 from 380 to get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Let's proceed to step 8:
59 goes into 260 4 times with a remainder of 24.
Put 4 as the next digit of the answer. 
Result so far: 8644.64
The remainder is 24 after subtracting 236 from 260.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Step 9:
The number 59 fits into 240 4 times, leaving a remainder of 4.
The number 4 becomes the next digit in our result. 
Result so far: 8644.644
If we subtract 236 from 240, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

The quotient of the division is 8644.644, and the remainder is 0.0004.