433626 ÷ 59 
Our goal is to divide 433626 by 59.

Advancing to 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 subtract 0 from 4, we get 4.
Bring next digit (3) of the dividend behind the 4 and repeat the process: 43 / 59

Going ahead to step 2:
59 can be fit into 43 0 times, resulting in a remainder of 43.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 43 after subtracting 0 from 43.
Include the next digit (3) from the dividend after 43, then repeat: 433 / 59

On to step 3:
59 goes into 433 7 times with a remainder of 20.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
If we subtract 413 from 433, we get 20.
Bring next digit (6) of the dividend behind the 20 and repeat the process: 206 / 59

Moving on to step 4:
59 can be fit into 206 3 times, resulting in a remainder of 29.
The number 3 becomes the next digit in our result. 
Result so far: 73.0
Deduct 177 from 206 and we're left with 29.
Include the next digit (2) from the dividend after 29, then repeat: 292 / 59

On to step 5:
59 goes into 292 4 times with a remainder of 56.
The number 4 becomes the next digit in our result. 
Result so far: 734.0
If we subtract 236 from 292, we get 56.
Include the next digit (6) from the dividend after 56, then repeat: 566 / 59

Step 6:
When dividing 566 by 59, we get 9 with a remainder of 35.
The number 9 becomes the next digit in our result. 
Result so far: 7349.0
If we subtract 531 from 566, we get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Going ahead to step 7:
59 goes into 350 5 times with a remainder of 55.
Record the quotient 5 as the next digit in the result. 
Result so far: 7349.5
Subtract 295 from 350 to get 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Advancing to step 8:
550 divided by 59 is 9 with a remainder of 19.
Write down 9 as next digit of the result. 
Result so far: 7349.59
Subtract 531 from 550 to get 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

On to step 9:
When dividing 190 by 59, we get 3 with a remainder of 13.
Use 3 as the next digit of our solution. 
Result so far: 7349.593
The remainder is 13 after subtracting 177 from 190.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Moving on to step 10:
130 divided by 59 is 2 with a remainder of 12.
The next digit of our result is 2. 
Result so far: 7349.5932
Deduct 118 from 130 and we're left with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Let's proceed to step 11:
If we divide 120 by 59, we get 2 and a remainder of 2.
The next digit of our result is 2. 
Result so far: 7349.59322
If we take 118 away from 120, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

The final outcome is 7349.59322, with a leftover of 2e-06.