We look at the division of 157168 by 45 
We want to figure out the number of times 157168 can be divided by 45.

On to step 1:
45 can be fit into 1 0 times, resulting in a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Bring next digit (5) of the dividend behind the 1 and repeat the process: 15 / 45

Going ahead to step 2:
15 divided by 45 is 0 with a remainder of 15.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 15 after subtracting 0 from 15.
Include the next digit (7) from the dividend after 15, then repeat: 157 / 45

Advancing to step 3:
45 can be fit into 157 3 times, resulting in a remainder of 22.
Write down 3 as next digit of the result. 
Result so far: 3.0
Subtracting 135 from 157 leaves us with 22.
Grab the next digit (1) from the dividend, add it to 22, then carry on: 221 / 45

Step 4:
When dividing 221 by 45, we get 4 with a remainder of 41.
Write down 4 as next digit of the result. 
Result so far: 34.0
If we take 180 away from 221, we end up with 41.
Include the next digit (6) from the dividend after 41, then repeat: 416 / 45

Moving on to step 5:
If we divide 416 by 45, we get 9 and a remainder of 11.
Write down 9 as next digit of the result. 
Result so far: 349.0
Subtract 405 from 416 to get 11.
Take the next digit (8) from the dividend and append it to 11, then repeat: 118 / 45

On to step 6:
If we divide 118 by 45, we get 2 and a remainder of 28.
Write down 2 as next digit of the result. 
Result so far: 3492.0
Deduct 90 from 118 and we're left with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Going ahead to step 7:
The number 45 fits into 280 6 times, leaving a remainder of 10.
The next digit of our result is 6. 
Result so far: 3492.6
Subtract 270 from 280 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 8:
The number 45 fits into 100 2 times, leaving a remainder of 10.
Write down 2 as next digit of the result. 
Result so far: 3492.62
The remainder is 10 after subtracting 90 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 9:
If we divide 100 by 45, we get 2 and a remainder of 10.
The number 2 becomes the next digit in our result. 
Result so far: 3492.622
If we take 90 away from 100, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Our division results in 3492.622 with a remaining 0.001.