4642589 divided by 450 
We're looking to find how many times 450 goes into 4642589.

Step 1:
450 goes into 4 0 times with a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Grab the next digit (6) from the dividend, add it to 4, then carry on: 46 / 450

Going ahead to step 2:
When dividing 46 by 450, we get 0 with a remainder of 46.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 46 and we're left with 46.
Bring next digit (4) of the dividend behind the 46 and repeat the process: 464 / 450

Let's proceed to step 3:
450 goes into 464 1 times with a remainder of 14.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Deduct 450 from 464 and we're left with 14.
Take the next digit (2) from the dividend and append it to 14, then repeat: 142 / 450

Step 4:
When dividing 142 by 450, we get 0 with a remainder of 142.
Use 0 as the next digit of our solution. 
Result so far: 10.0
If we subtract 0 from 142, we get 142.
Fetch the next digit (5) from the dividend, attach it to 142 and continue: 1425 / 450

Let's proceed to step 5:
The number 450 fits into 1425 3 times, leaving a remainder of 75.
The number 3 becomes the next digit in our result. 
Result so far: 103.0
The remainder is 75 after subtracting 1350 from 1425.
Include the next digit (8) from the dividend after 75, then repeat: 758 / 450

Going ahead to step 6:
450 goes into 758 1 times with a remainder of 308.
Use 1 as the next digit of our solution. 
Result so far: 1031.0
The remainder is 308 after subtracting 450 from 758.
Grab the next digit (9) from the dividend, add it to 308, then carry on: 3089 / 450

Let's proceed to step 7:
When dividing 3089 by 450, we get 6 with a remainder of 389.
The next digit of our result is 6. 
Result so far: 10316.0
If we take 2700 away from 3089, we end up with 389.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3890, and continue the process.

Moving on to step 8:
450 can be fit into 3890 8 times, resulting in a remainder of 290.
Record the quotient 8 as the next digit in the result. 
Result so far: 10316.8
Subtracting 3600 from 3890 leaves us with 290.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2900, and continue the process.

Moving on to step 9:
450 can be fit into 2900 6 times, resulting in a remainder of 200.
The number 6 becomes the next digit in our result. 
Result so far: 10316.86
The remainder is 200 after subtracting 2700 from 2900.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2000, and continue the process.

Advancing to step 10:
When dividing 2000 by 450, we get 4 with a remainder of 200.
Use 4 as the next digit of our solution. 
Result so far: 10316.864
Deduct 1800 from 2000 and we're left with 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2000, and continue the process.

Advancing to step 11:
450 goes into 2000 4 times with a remainder of 200.
Write down 4 as next digit of the result. 
Result so far: 10316.8644
The remainder is 200 after subtracting 1800 from 2000.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2000, and continue the process.

In conclusion, the division gives 10316.8644 with a balance of 0.002.