434542 ÷ 59 
Let's see how many times 59 fits into 434542.

On to step 1:
4 divided by 59 is 0 with a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Bring next digit (3) of the dividend behind the 4 and repeat the process: 43 / 59

Moving on to 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
Deduct 0 from 43 and we're left with 43.
Bring next digit (4) of the dividend behind the 43 and repeat the process: 434 / 59

On to step 3:
When dividing 434 by 59, we get 7 with a remainder of 21.
Record the quotient 7 as the next digit in the result. 
Result so far: 7.0
Deduct 413 from 434 and we're left with 21.
Append the next digit (5) from the dividend to 21 and continue with: 215 / 59

Moving on to step 4:
When dividing 215 by 59, we get 3 with a remainder of 38.
Write down 3 as next digit of the result. 
Result so far: 73.0
Subtract 177 from 215 to get 38.
Include the next digit (4) from the dividend after 38, then repeat: 384 / 59

Moving on to step 5:
The number 59 fits into 384 6 times, leaving a remainder of 30.
The next digit of our result is 6. 
Result so far: 736.0
Subtracting 354 from 384 leaves us with 30.
Fetch the next digit (2) from the dividend, attach it to 30 and continue: 302 / 59

On to step 6:
When dividing 302 by 59, we get 5 with a remainder of 7.
Write down 5 as next digit of the result. 
Result so far: 7365.0
If we take 295 away from 302, we end up 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.

Moving on to step 7:
The number 59 fits into 70 1 times, leaving a remainder of 11.
Use 1 as the next digit of our solution. 
Result so far: 7365.1
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.

Let's proceed to step 8:
59 goes into 110 1 times with a remainder of 51.
Use 1 as the next digit of our solution. 
Result so far: 7365.11
If we subtract 59 from 110, we 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 outcome is 7365.11, with a leftover of 0.051.