30437 ÷ 59 
We want to divide 30437 by 59.

Advancing to step 1:
3 divided by 59 is 0 with a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Take the next digit (0) from the dividend and append it to 3, then repeat: 30 / 59

Let's proceed to step 2:
59 can be fit into 30 0 times, resulting in a remainder of 30.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 30, we end up with 30.
Bring next digit (4) of the dividend behind the 30 and repeat the process: 304 / 59

Let's proceed to step 3:
59 goes into 304 5 times with a remainder of 9.
Write down 5 as next digit of the result. 
Result so far: 5.0
Deduct 295 from 304 and we're left with 9.
Bring next digit (3) of the dividend behind the 9 and repeat the process: 93 / 59

Step 4:
59 can be fit into 93 1 times, resulting in a remainder of 34.
The number 1 becomes the next digit in our result. 
Result so far: 51.0
The remainder is 34 after subtracting 59 from 93.
Take the next digit (7) from the dividend and append it to 34, then repeat: 347 / 59

Let's proceed to step 5:
When dividing 347 by 59, we get 5 with a remainder of 52.
Write down 5 as next digit of the result. 
Result so far: 515.0
Subtract 295 from 347 to get 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Advancing to step 6:
59 goes into 520 8 times with a remainder of 48.
Put 8 as the next digit of the answer. 
Result so far: 515.8
Subtract 472 from 520 to get 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Going ahead to step 7:
59 can be fit into 480 8 times, resulting in a remainder of 8.
Put 8 as the next digit of the answer. 
Result so far: 515.88
Deduct 472 from 480 and we're left 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 final outcome is 515.88, with a leftover of 0.008.