Let's divide 637138 by 45
Our goal is to divide 637138 by 45.

Moving on to step 1:
45 can be fit into 6 0 times, resulting in a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Grab the next digit (3) from the dividend, add it to 6, then carry on: 63 / 45

Let's proceed to step 2:
45 can be fit into 63 1 times, resulting in a remainder of 18.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we subtract 45 from 63, we get 18.
Include the next digit (7) from the dividend after 18, then repeat: 187 / 45

On to step 3:
The number 45 fits into 187 4 times, leaving a remainder of 7.
The number 4 becomes the next digit in our result. 
Result so far: 14.0
Subtract 180 from 187 to get 7.
Append the next digit (1) from the dividend to 7 and continue with: 71 / 45

Advancing to step 4:
The number 45 fits into 71 1 times, leaving a remainder of 26.
Write down 1 as next digit of the result. 
Result so far: 141.0
If we subtract 45 from 71, we get 26.
Bring next digit (3) of the dividend behind the 26 and repeat the process: 263 / 45

Going ahead to step 5:
When dividing 263 by 45, we get 5 with a remainder of 38.
Put 5 as the next digit of the answer. 
Result so far: 1415.0
Deduct 225 from 263 and we're left with 38.
Take the next digit (8) from the dividend and append it to 38, then repeat: 388 / 45

Moving on to step 6:
45 can be fit into 388 8 times, resulting in a remainder of 28.
Write down 8 as next digit of the result. 
Result so far: 14158.0
Subtracting 360 from 388 leaves us 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.

On to step 7:
The number 45 fits into 280 6 times, leaving a remainder of 10.
The number 6 becomes the next digit in our result. 
Result so far: 14158.6
If we take 270 away from 280, 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.

Let's proceed to step 8:
45 goes into 100 2 times with a remainder of 10.
Record the quotient 2 as the next digit in the result. 
Result so far: 14158.62
If we subtract 90 from 100, we 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 9:
The number 45 fits into 100 2 times, leaving a remainder of 10.
The next digit of our result is 2. 
Result so far: 14158.622
If we subtract 90 from 100, we 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.

The quotient of the division is 14158.622, and the remainder is 0.001.