We look at the division of 601589 by 45 
Our goal is to divide 601589 by 45.

On to step 1:
45 can be fit into 6 0 times, resulting in a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Grab the next digit (0) from the dividend, add it to 6, then carry on: 60 / 45

On to step 2:
45 goes into 60 1 times with a remainder of 15.
Put 1 as the next digit of the answer. 
Result so far: 1.0
The remainder is 15 after subtracting 45 from 60.
Fetch the next digit (1) from the dividend, attach it to 15 and continue: 151 / 45

Going ahead to step 3:
45 can be fit into 151 3 times, resulting in a remainder of 16.
Write down 3 as next digit of the result. 
Result so far: 13.0
If we take 135 away from 151, we end up with 16.
Include the next digit (5) from the dividend after 16, then repeat: 165 / 45

On to step 4:
When dividing 165 by 45, we get 3 with a remainder of 30.
Write down 3 as next digit of the result. 
Result so far: 133.0
Subtract 135 from 165 to get 30.
Take the next digit (8) from the dividend and append it to 30, then repeat: 308 / 45

On to step 5:
The number 45 fits into 308 6 times, leaving a remainder of 38.
Write down 6 as next digit of the result. 
Result so far: 1336.0
If we subtract 270 from 308, we get 38.
Append the next digit (9) from the dividend to 38 and continue with: 389 / 45

Going ahead to step 6:
389 divided by 45 is 8 with a remainder of 29.
Record the quotient 8 as the next digit in the result. 
Result so far: 13368.0
Subtracting 360 from 389 leaves us with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

On to step 7:
45 can be fit into 290 6 times, resulting in a remainder of 20.
Put 6 as the next digit of the answer. 
Result so far: 13368.6
Subtracting 270 from 290 leaves us 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.

Moving on to step 8:
If we divide 200 by 45, we get 4 and a remainder of 20.
The number 4 becomes the next digit in our result. 
Result so far: 13368.64
If we take 180 away from 200, we end up 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.

Let's proceed to step 9:
45 can be fit into 200 4 times, resulting in a remainder of 20.
Use 4 as the next digit of our solution. 
Result so far: 13368.644
Subtracting 180 from 200 leaves us 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.

The final outcome is 13368.644, with a leftover of 0.002.