We're dividing 359258 by 59 
We want to divide 359258 by 59.

Going ahead to step 1:
59 can be fit into 3 0 times, resulting in a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Include the next digit (5) from the dividend after 3, then repeat: 35 / 59

On to step 2:
59 goes into 35 0 times with a remainder of 35.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 35 after subtracting 0 from 35.
Bring next digit (9) of the dividend behind the 35 and repeat the process: 359 / 59

Moving on to step 3:
The number 59 fits into 359 6 times, leaving a remainder of 5.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
Subtracting 354 from 359 leaves us with 5.
Include the next digit (2) from the dividend after 5, then repeat: 52 / 59

Let's proceed to step 4:
The number 59 fits into 52 0 times, leaving a remainder of 52.
The number 0 becomes the next digit in our result. 
Result so far: 60.0
If we take 0 away from 52, we end up with 52.
Bring next digit (5) of the dividend behind the 52 and repeat the process: 525 / 59

Advancing to step 5:
If we divide 525 by 59, we get 8 and a remainder of 53.
The number 8 becomes the next digit in our result. 
Result so far: 608.0
If we take 472 away from 525, we end up with 53.
Include the next digit (8) from the dividend after 53, then repeat: 538 / 59

On to step 6:
If we divide 538 by 59, we get 9 and a remainder of 7.
The number 9 becomes the next digit in our result. 
Result so far: 6089.0
Subtracting 531 from 538 leaves us 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.

Let's proceed to step 7:
70 divided by 59 is 1 with a remainder of 11.
The next digit of our result is 1. 
Result so far: 6089.1
Deduct 59 from 70 and we're left with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Let's proceed to step 8:
59 can be fit into 110 1 times, resulting in a remainder of 51.
The next digit of our result is 1. 
Result so far: 6089.11
Subtract 59 from 110 to get 51.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

The final result is 6089.11 with a remainder of 0.051.