We're dividing 197591 by 45 
Our goal is to divide 197591 by 45.

Advancing to step 1:
If we divide 1 by 45, we get 0 and a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Fetch the next digit (9) from the dividend, attach it to 1 and continue: 19 / 45

Going ahead to step 2:
19 divided by 45 is 0 with a remainder of 19.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 19 to get 19.
Grab the next digit (7) from the dividend, add it to 19, then carry on: 197 / 45

Let's proceed to step 3:
197 divided by 45 is 4 with a remainder of 17.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
If we take 180 away from 197, we end up with 17.
Include the next digit (5) from the dividend after 17, then repeat: 175 / 45

On to step 4:
The number 45 fits into 175 3 times, leaving a remainder of 40.
Put 3 as the next digit of the answer. 
Result so far: 43.0
Subtract 135 from 175 to get 40.
Include the next digit (9) from the dividend after 40, then repeat: 409 / 45

Going ahead to step 5:
When dividing 409 by 45, we get 9 with a remainder of 4.
Use 9 as the next digit of our solution. 
Result so far: 439.0
If we subtract 405 from 409, we get 4.
Grab the next digit (1) from the dividend, add it to 4, then carry on: 41 / 45

Going ahead to step 6:
When dividing 41 by 45, we get 0 with a remainder of 41.
Record the quotient 0 as the next digit in the result. 
Result so far: 4390.0
If we take 0 away from 41, we end up with 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Advancing to step 7:
45 goes into 410 9 times with a remainder of 5.
Record the quotient 9 as the next digit in the result. 
Result so far: 4390.9
If we take 405 away from 410, we end up 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.

Let's proceed to step 8:
The number 45 fits into 50 1 times, leaving a remainder of 5.
Write down 1 as next digit of the result. 
Result so far: 4390.91
Subtract 45 from 50 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 9:
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: 4390.911
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 4390.911, and the remainder is 0.0005.