389341 ÷ 59 
We want to divide 389341 by 59.

Step 1:
3 divided by 59 is 0 with a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Include the next digit (8) from the dividend after 3, then repeat: 38 / 59

Advancing to step 2:
The number 59 fits into 38 0 times, leaving a remainder of 38.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 38 and we're left with 38.
Fetch the next digit (9) from the dividend, attach it to 38 and continue: 389 / 59

Moving on to step 3:
59 goes into 389 6 times with a remainder of 35.
Use 6 as the next digit of our solution. 
Result so far: 6.0
If we subtract 354 from 389, we get 35.
Include the next digit (3) from the dividend after 35, then repeat: 353 / 59

On to step 4:
If we divide 353 by 59, we get 5 and a remainder of 58.
Put 5 as the next digit of the answer. 
Result so far: 65.0
Subtracting 295 from 353 leaves us with 58.
Take the next digit (4) from the dividend and append it to 58, then repeat: 584 / 59

On to step 5:
59 can be fit into 584 9 times, resulting in a remainder of 53.
The number 9 becomes the next digit in our result. 
Result so far: 659.0
Deduct 531 from 584 and we're left with 53.
Take the next digit (1) from the dividend and append it to 53, then repeat: 531 / 59

Let's proceed to step 6:
59 can be fit into 531 9 times, resulting in a remainder of 0.
Put 9 as the next digit of the answer. 
Result so far: 6599.0
Subtracting 531 from 531 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Let's proceed to step 7:
59 can be fit into 0 0 times, resulting in a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 6599.0
Subtract 0 from 0 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

On to step 8:
59 can be fit into 0 0 times, resulting in a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 6599.0
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The final result is 6599.0 with a remainder of 0.0.