We look at the division of 430339 by 59 
Let's see how many times 59 fits into 430339.

On to step 1:
59 can be fit into 4 0 times, resulting in a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Fetch the next digit (3) from the dividend, attach it to 4 and continue: 43 / 59

Step 2:
59 goes into 43 0 times with a remainder of 43.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 43 after subtracting 0 from 43.
Grab the next digit (0) from the dividend, add it to 43, then carry on: 430 / 59

Moving on to step 3:
The number 59 fits into 430 7 times, leaving a remainder of 17.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
Subtracting 413 from 430 leaves us with 17.
Grab the next digit (3) from the dividend, add it to 17, then carry on: 173 / 59

Advancing to step 4:
When dividing 173 by 59, we get 2 with a remainder of 55.
Put 2 as the next digit of the answer. 
Result so far: 72.0
If we take 118 away from 173, we end up with 55.
Include the next digit (3) from the dividend after 55, then repeat: 553 / 59

On to step 5:
59 goes into 553 9 times with a remainder of 22.
The number 9 becomes the next digit in our result. 
Result so far: 729.0
Subtracting 531 from 553 leaves us with 22.
Grab the next digit (9) from the dividend, add it to 22, then carry on: 229 / 59

Let's proceed to step 6:
When dividing 229 by 59, we get 3 with a remainder of 52.
The number 3 becomes the next digit in our result. 
Result so far: 7293.0
Deduct 177 from 229 and we're left with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Let's proceed to step 7:
If we divide 520 by 59, we get 8 and a remainder of 48.
Use 8 as the next digit of our solution. 
Result so far: 7293.8
Deduct 472 from 520 and we're left with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Step 8:
If we divide 480 by 59, we get 8 and a remainder of 8.
Write down 8 as next digit of the result. 
Result so far: 7293.88
If we take 472 away from 480, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

The quotient of the division is 7293.88, and the remainder is 0.008.