We divide 800591 by 59
We want to figure out the number of times 800591 can be divided by 59.

Moving on to step 1:
If we divide 8 by 59, we get 0 and a remainder of 8.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 8, we get 8.
Bring next digit (0) of the dividend behind the 8 and repeat the process: 80 / 59

Moving on to step 2:
When dividing 80 by 59, we get 1 with a remainder of 21.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we subtract 59 from 80, we get 21.
Append the next digit (0) from the dividend to 21 and continue with: 210 / 59

Advancing to step 3:
The number 59 fits into 210 3 times, leaving a remainder of 33.
Use 3 as the next digit of our solution. 
Result so far: 13.0
If we take 177 away from 210, we end up with 33.
Bring next digit (5) of the dividend behind the 33 and repeat the process: 335 / 59

Going ahead to step 4:
The number 59 fits into 335 5 times, leaving a remainder of 40.
The number 5 becomes the next digit in our result. 
Result so far: 135.0
The remainder is 40 after subtracting 295 from 335.
Bring next digit (9) of the dividend behind the 40 and repeat the process: 409 / 59

Step 5:
409 divided by 59 is 6 with a remainder of 55.
Record the quotient 6 as the next digit in the result. 
Result so far: 1356.0
If we take 354 away from 409, we end up with 55.
Append the next digit (1) from the dividend to 55 and continue with: 551 / 59

Let's proceed to step 6:
59 can be fit into 551 9 times, resulting in a remainder of 20.
The number 9 becomes the next digit in our result. 
Result so far: 13569.0
Deduct 531 from 551 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Step 7:
If we divide 200 by 59, we get 3 and a remainder of 23.
The next digit of our result is 3. 
Result so far: 13569.3
Subtracting 177 from 200 leaves us with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Moving on to step 8:
59 can be fit into 230 3 times, resulting in a remainder of 53.
The number 3 becomes the next digit in our result. 
Result so far: 13569.33
Subtract 177 from 230 to get 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

The final result is 13569.33 with a remainder of 0.053.