We're dividing 598685 by 45 
We want to figure out the number of times 598685 can be divided by 45.

Let's proceed to step 1:
If we divide 5 by 45, we get 0 and a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Fetch the next digit (9) from the dividend, attach it to 5 and continue: 59 / 45

Going ahead to step 2:
45 goes into 59 1 times with a remainder of 14.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we subtract 45 from 59, we get 14.
Take the next digit (8) from the dividend and append it to 14, then repeat: 148 / 45

Moving on to step 3:
45 goes into 148 3 times with a remainder of 13.
Use 3 as the next digit of our solution. 
Result so far: 13.0
If we subtract 135 from 148, we get 13.
Append the next digit (6) from the dividend to 13 and continue with: 136 / 45

Moving on to step 4:
45 can be fit into 136 3 times, resulting in a remainder of 1.
The next digit of our result is 3. 
Result so far: 133.0
The remainder is 1 after subtracting 135 from 136.
Bring next digit (8) of the dividend behind the 1 and repeat the process: 18 / 45

On to step 5:
45 can be fit into 18 0 times, resulting in a remainder of 18.
Put 0 as the next digit of the answer. 
Result so far: 1330.0
Subtracting 0 from 18 leaves us with 18.
Include the next digit (5) from the dividend after 18, then repeat: 185 / 45

Moving on to step 6:
The number 45 fits into 185 4 times, leaving a remainder of 5.
Use 4 as the next digit of our solution. 
Result so far: 13304.0
Subtracting 180 from 185 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 7:
45 can be fit into 50 1 times, resulting in a remainder of 5.
The next digit of our result is 1. 
Result so far: 13304.1
Subtracting 45 from 50 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 8:
45 can be fit into 50 1 times, resulting in a remainder of 5.
Use 1 as the next digit of our solution. 
Result so far: 13304.11
The remainder is 5 after subtracting 45 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

The quotient of the division is 13304.11, and the remainder is 0.005.