645009 ÷ 59 
Our goal is to divide 645009 by 59.

Advancing to step 1:
59 goes into 6 0 times with a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Take the next digit (4) from the dividend and append it to 6, then repeat: 64 / 59

Going ahead to step 2:
59 can be fit into 64 1 times, resulting in a remainder of 5.
The next digit of our result is 1. 
Result so far: 1.0
Subtracting 59 from 64 leaves us with 5.
Fetch the next digit (5) from the dividend, attach it to 5 and continue: 55 / 59

Moving on to step 3:
59 can be fit into 55 0 times, resulting in a remainder of 55.
The number 0 becomes the next digit in our result. 
Result so far: 10.0
If we take 0 away from 55, we end up with 55.
Bring next digit (0) of the dividend behind the 55 and repeat the process: 550 / 59

Step 4:
The number 59 fits into 550 9 times, leaving a remainder of 19.
Use 9 as the next digit of our solution. 
Result so far: 109.0
Subtract 531 from 550 to get 19.
Fetch the next digit (0) from the dividend, attach it to 19 and continue: 190 / 59

On to step 5:
The number 59 fits into 190 3 times, leaving a remainder of 13.
Use 3 as the next digit of our solution. 
Result so far: 1093.0
If we subtract 177 from 190, we get 13.
Grab the next digit (9) from the dividend, add it to 13, then carry on: 139 / 59

Let's proceed to step 6:
The number 59 fits into 139 2 times, leaving a remainder of 21.
The number 2 becomes the next digit in our result. 
Result so far: 10932.0
The remainder is 21 after subtracting 118 from 139.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Let's proceed to step 7:
When dividing 210 by 59, we get 3 with a remainder of 33.
The next digit of our result is 3. 
Result so far: 10932.3
If we subtract 177 from 210, we get 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Step 8:
59 can be fit into 330 5 times, resulting in a remainder of 35.
Record the quotient 5 as the next digit in the result. 
Result so far: 10932.35
Deduct 295 from 330 and we're left with 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 9:
59 can be fit into 350 5 times, resulting in a remainder of 55.
Write down 5 as next digit of the result. 
Result so far: 10932.355
If we subtract 295 from 350, we 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.

Our division results in 10932.355 with a remaining 0.0055.