We're dividing 434459 by 59 
We're looking to find how many times 59 goes into 434459.

Step 1:
59 goes into 4 0 times with a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Take the next digit (3) from the dividend and append it to 4, then repeat: 43 / 59

Moving on to step 2:
59 goes into 43 0 times with a remainder of 43.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 43, we get 43.
Fetch the next digit (4) from the dividend, attach it to 43 and continue: 434 / 59

Moving on to step 3:
The number 59 fits into 434 7 times, leaving a remainder of 21.
Put 7 as the next digit of the answer. 
Result so far: 7.0
Subtracting 413 from 434 leaves us with 21.
Fetch the next digit (4) from the dividend, attach it to 21 and continue: 214 / 59

Going ahead to step 4:
59 can be fit into 214 3 times, resulting in a remainder of 37.
Record the quotient 3 as the next digit in the result. 
Result so far: 73.0
If we subtract 177 from 214, we get 37.
Append the next digit (5) from the dividend to 37 and continue with: 375 / 59

On to step 5:
When dividing 375 by 59, we get 6 with a remainder of 21.
Write down 6 as next digit of the result. 
Result so far: 736.0
Subtract 354 from 375 to get 21.
Fetch the next digit (9) from the dividend, attach it to 21 and continue: 219 / 59

Step 6:
When dividing 219 by 59, we get 3 with a remainder of 42.
The next digit of our result is 3. 
Result so far: 7363.0
The remainder is 42 after subtracting 177 from 219.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Going ahead to step 7:
When dividing 420 by 59, we get 7 with a remainder of 7.
Write down 7 as next digit of the result. 
Result so far: 7363.7
Subtract 413 from 420 to get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Going ahead to step 8:
If we divide 70 by 59, we get 1 and a remainder of 11.
Record the quotient 1 as the next digit in the result. 
Result so far: 7363.71
If we take 59 away from 70, we end up 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.

On to step 9:
59 goes into 110 1 times with a remainder of 51.
The number 1 becomes the next digit in our result. 
Result so far: 7363.711
If we take 59 away from 110, we end up with 51.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

In conclusion, the division gives 7363.711 with a balance of 0.0051.